nbhkdz.com冰点文库

2013美赛B题论文

时间:2013-02-11


Team #23403
Team Control Number For office use only T1 T2 T3 T4 ________________ ________________ ________________ ________________

Page

1

of 54

23403
Problem Chosen

For office use only F1 F2 F3 F4 ________________ ________________ ________________ ________________

B
2013 Mathematical Contest in Modeling (MCM) Summary Sheet

Water, Water, Everywhere
February 5th 2013

Summary
First of all, we use historical data to predict the condition of water using from now on till 2025. Then we use the analytic hierarchy process to determine whether a region is short of water and the degree of water shortage. Second, we use existing resources to determine the concentration and the water storage location. Third, to establish a sequence estimation of seawater desalination plant construction and processing costs. Fourth, acting boldly to make the big rivers as natural pipeline, and setting a large number of artificial pipeline,and connecting all cities, according to the existing water and regional water requirement, as far as possible to make water avalible everywhere, at the same time use the minimum spanning tree model to achieve the lowest cost. Fifth, suppose begin to work on the upstream or middle of Yangtze River linking the Yellow River water resources and connecting China's water resources all together, which can predict effect and calculate costs Sixth, comparing with the previous two schemes Seventh, to prediction the affect to the national economy, culture, environment and so on ,after water adjustment.

Team #23403

Page

2

of 54

Content
Summary...............................................................................................1 Introduction..........................................................................................4 2.1 The introduction of chinese water resource.................................4 2.2 Restatement ...................................................................................5 2.3 Assumptions and Justifications ...................................................6 2.4 Variables.........................................................................................7 Establishment of the Model 3.1 The situation of using water resource..........................................8 3.2 The supply situation of water resources...................................9 3.3 The classification of water resources.......................................11 3.4 The distribution of water resources.........................................13 3.4.1 Only considering precipitation...................................13 3.4.2 Overall consideration..................................................15 4. The storage of water.................................................................16 4.1 The location of the existing storage of water..............16 4.1.1 Existing lakes....................................................16

4.1.2 Large and medium-sized reservoir impoundment dynamic..17 4.2 Recommended the location of the reservoir..............18 5 Desalinator.............................................................................19 5.1 Seawater desalination..........................................................19

Team #23403

Page

3

of 54

5.2 Seawater desalination cost analysis..................................20 5.3 The location and scale of the desalinator.........................21 6 Scheduling of water......................................................................23 6.1 Pipe network solution...............................................23 6.2 The scheme of canal.................................................26 6.2.1 line A...........................................................28 6.2.2 line B...........................................................30 6.2.3 line C...........................................................31 6.2.4 Model evaluation...............................................32 6.3 comparison and Suggestions.........................................32 7 Evaluation ...................................................................................33 8 Letter............................................................................................33 References..........................................................................................34 Appendix...........................................................................................34

Team #23403

Page

4

of 54

Introduction 2.1 The introduction of chinese water resource
The total water resources of China are 2.8 trillion cubic meters. The surface water is 2.7 cubic meters, and the groundwater is 0.83 cubic meters ,Because the surface water and groundwater recharge, mutual conversion, deduction of both computation repetition 0.73 trillion cubic meters, groundwater resource quantity not to repeat and river runoff is about 0.1 cubic meters。According to internationally accepted standards, the per capita water resources less than 3000 cubic meters is mild short of water ;The per capita water resources less than 2000 cubic meters is moderate water shortage;Below the per capita water resources 1000 cubic meters is severe shortage of water; per capita water resources less than 500 cubic meters is extreme water shortage。 The China currently has 16 provinces ( area, city)Per capita water resources ( not including transit water shortage ) below the waterline,There are 6 provinces, area ( Ningxia, Hebei, Shandong, Henan, Shanxi, Jiangsu) is less than 500 cubic meters of water resources per capita. The main characteristics of water resources in China The total is not rich, per capita less. The total amount of water resources in China ranks sixth in the world, per capita consumption is 2240 cubic meters, about 1/4 of the world average per capita, ranked eighty-eighth in 153 countries in the World Bank’s continuous statistics. Uneven distribution of water resources does not match. The Yangtze River Basin and its south area land area accounts for only 36.5% of the country, the amount of water resources accounted for 81% of the country;The Huaihe basin and the north of the country's total land area is 63.5%, the volume of water resources account for only 19% of total water resources in china. Annual and inter-annual distribution unevenness, frequent drought and flood disasters. Most of the above areas during the year for four consecutive months of precipitation throughout the year accounted for 70%, for wet or dry years are more common in continuous. (1)The contradiction between supply and demand increasing The first is the agricultural drought. Along with the economic development and climate change, the Chinese agriculture, especially agricultural drought aggravating water shortage in the North area. At present, the only year 30000000000 cubic meters of water irrigation area. The last century 90's annual farmland drought-hit area of 26670000 hectares, drought and water shortage has become the main factors restricting agricultural development and food security;The village has a population of about 20000000 and tens of millions of livestock drinking water problems, the 1/4 population of drinking water does not conform to the hygiene standards. The second is the water shortage in the city. China city water shortage phenomenon began in the 70's, later expanded year by year, especially since the reform and opening up; the city is becoming more and more serious water shortage. According to statistics, in the 663 cities, 400 city water supply shortage, including 110 serious water shortages, water shortage of about 10000000000 cubic meters per year, affecting about 200000000000 Yuan industrial output value. (2)Water use efficiency is not high At present, the national agricultural irrigation water consumption is about 380000000000

Team #23403

Page

5

of 54

cubic meters, accounting for nearly 70% of the total water. National agricultural irrigation water utilization coefficient is only about 0.3 to 0.4.Developed countries begin to adopt water-saving irrigation as early as 40 - 50 time, now, many countries realized the channel anti-seepage, piping, sprinkle irrigation, drip irrigation, irrigation science, automation, the utilization coefficient of irrigation water reached 0.7 ~ 0.8 Secondly, industrial water waste is very serious. At present our country industry million Yuan output value is about 8000000000 cubic meters, in developed countries is 10 ~ 20 times; China's water reuse rate is about 40%, while developed countries 75 ~ 85%.China city living water waste is very serious. According to statistics, the majority of city tap water pipe network is running, take, drop, leakage loss rate of 15%-20%.

(3)The deterioration of water environment
In 2000 the total sewage discharge 620 tons, about 80% is discharged directly into rivers and lakes without any treatment, more than 90% surface water of the city, 97% of the city underground aquifers polluted. Since the quantity of groundwater exploitation in some areas more than supply, the country has appeared the groundwater overdraft area 164, a total area of 180000 square kilometers, and caused land subsidence, seawater intrusion and a series of ecological problems. (4)Lack of water resources rational allocation Exploitation of water resources in North China is already very high; water on the ecological environment has been affected. At present, the Yellow River cutoff is becoming increasingly serious, but every year out of 9000000000 cubic meters of water to Huaihe and the Haihe River, therefore, the water resources reasonable allocation and layout, regional water resources must rely on the unified planning including water diversion project, and the reasonable layout. (5)Economic development and productivity layout to consider the condition of water resources is not enough (6) Under the planned economy system, the past industrial layout, not fully consider the condition of water resources, many large water industry is arranged in a water shortage area; rice water consumption is blind development in water shortage area, artificially aggravated the contradiction between the rational allocation of water resources.

2.2 Restatement

Fresh water is the limiting constraint for development in much of the world. Build a mathematical model for determining an effective, feasible, and cost-efficient water strategy for 2013 to meet the projected water needs of [pick one country from the list below] in 2025, and identify the best water strategy. In particular, your mathematical model must address storage and movement; de-Stalinization; and conservation. If possible, use your model to discuss the economic, physical, and environmental implications of your strategy. Provide a non-technical position paper to governmental leadership outlining your approach, its feasibility and costs, and why it is the “best water strategy choice.” Countries: United States, China, Russia, Egypt, or Saudi Arabia

Team #23403

Page

6

of 54

2.3 Assumptions and Justifications

4、1. The states we choose for modeling will not experience mass migrations of population. The water use at the state level is closely related to the state population. Our water use estimation model does take population change into consideration, while the change follows the current demographic trends. 2. Sweeping reforms will not be implemented in terms of industry, society, economy, policy, culture and environment. Our estimation model prefers that the future development in terms of industry, society, economy, policy, culture and ecosystem can keep a steady pace through 2010 to 2025. 3. The increase in fresh water storage from the thaw of glaciers caused by climate change and global warming is not considered. 4 Assume that the demand of water is only living water, industrial water and agricultural water The three is the biggest part of water, and other water share is negligible 5 The source of the water just upstream from the precipitation and runoff to consider Groundwater has a serious shortage, environmental considerations, we hypothesized that cannot use water and other water 6、Hainan, Taiwan, Diaoyu Islands and so on of China territory is not connected with the land, therefore are not considered in the water diversion scheme position

Team #23403

Page

7

of 54

2.4 Variables

wy
wu

Article y the national per capita water One can use water The precipitation of a year A year from the river outflow A national evaporation Article n the river runoff Water storage capacity of the N lakes Water volume The total storage capacity of large reservoir The total water storage reservoir The total cost in seawater desalination Desalination of minimum consumption Desalination of the highest consumption The cost of building waterworks The cost of pipeline lying of unit length

wj
wo
wz

fn Ln

S
SL

SM
$T $L $H

?0 ?x

? y1
? y2
?z

The cost of maintain waterworks and the pipeline in unit time

The cost of maintain waterworks and the canal in unit time

Costs of earth cutting

Team #23403

Page

8

of 54

Establishment of the Model 3.1 The situation of using water resource
Using historical data to predict the future water using from now to 2025. Then we use the analytic hierarchy process, to determine whether a region is short of water and the degree of water shortage. Because of the difficulties of data collection, find a very complete and in China only in 1990 to 1998 data, obtained by conducting a fitting function and two to fit data(See Appendix, table 1)

The X coordinate set for the year 2002, origin, Then in 2003 when x=1.

wi ? ?0.80179 2 ?12.013x ? 404 x
wi ? 4.7964x ? 416.03
By the analysis of error (see Appendix 2 ) the quadratic function error is 5.483940,the linear function error is 9.346700, According to the comparison,The quadratic functions of the fitting is more close to the actual,Quadratic function fitting behind very close to the gentle, therefore, we can think of a function formula has reached the expected results The estimate 2025 per capita consumption is 526.347, so population is expected to 1.4 billion, so the total demand for 736.8858 billion cubic meters

Team #23403

Page

9

of 54

3.2 The supply situation of water resources
The next is to predict the amount of water; the available water should be less rainfall flow minus the amount of evaporation, namely

wu ? wj ? wo ? wz
Province Beijing Tianjin Hebei Shanxi
Inner Mongolia

Liaoning Jilin Heilongjiang Shanghai Jiangsu Zhejiang Anhui Fujian Jiangxi Shandong Henan Hubei Hunan Guangdong Guangxi Sichuan Chongqing Guizhou Yunnan Tibet Shanxi Gansu Qinghai Ningxia Xinjiang

Precipitation(m m) 644.3 569.8 550.1 459.4 417.4 734.4 593.9 523.3 1123.7 1029.3 1398.7 988.6 1343.6 1596.3 685.2 641 1204.6 1396 1694.1 1300.7 947 1138.6 1174.7 1006.5 444.6 580.2 327.8 368.1 196.7 277.6

area( 104 km2 ) 1.68 1.1 19 15.6 118 14.59 19.1 45.46 0.63405 10.26 10.18 13.96 12.14 16.6947 15.78 16.67 18.59 21 17.98 23.6 48.5 8.24 17 39.4 120 20.56 45.5 72.2 5.18 166 961.59475

Flow( 108 m3 ) 108.2424 62.678 1045.19 716.664 4925.32 1071.4896 1134.349 2378.9218 71.2481985 1056.0618 1423.8766 1380.0856 1631.1304 2664.974961 1081.2456 1068.547 2239.3514 2931.6 3045.9918 3069.652 4592.95 938.2064 1996.99 3965.61 5335.2 1192.8912 1491.49 2657.682 101.8906 4608.16 59987.69036

We can see that China's precipitation distribution is very uneven, general situation seems to be more than a little, and the north south According to detailed every month of the chart to see, precipitation in the time distribution is not uniform, main performance for the summer, winter less (table 2)

Team #23403

Page

10

of 54

Moreover,a large amount of water into the sea, caused a tremendous waste of water resources

number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

name The Yangtze river The yellow river Zhujiang river Haihe river Huaihe river Songhua river Liaohe river Heilong river Lancang river Ertix river Nujiang river Yarlung zangbo river Yuanjiang Ussuri river Yalu river total

Flow( 108 m3 ) 9755 592 3360 228 611 742 148 3465 740 119 689 1654 484 560 327 23474

Team #23403

Page

11

of 54

If rainfall is all be used,then everyone can use a year of water will be: the total water consumption/population, namely

59987.69036/13=4614.43 m3
on the basis of

wu ? wj ? wo ? wz
wu ? w j ? ? f n ? wz
n?1
According to the data

15

wz =50 ?10 m
8

3

namely

wu ? 5998769036? 23474? 50 .
? 36463 .69
But the actual water consumption per capita is only 450.2 m resources waste greatly
3

year

(2012) it is proved that water ,

3.3 The classification of water resources

According to the previous data, compared with agricultural water ( C1 )、 we industrial consumption ( C2 )、domestic water ( C3 ),it comes to the following judgment matrix

? a11 a12 ?a ? 21 a22 ?a31 a32 ?

a13 ? ? 1 ? a23 ? ? ? 1 ? a33 ? ? 1 ? ? 3

3 3? ? 1 1? 1 1? 3 ?

1 n aij wi ? ? n (i ? 1,2, ? , n) n j ?1 ? akj
k ?1

Team #23403

Page

12

of 54

Similarly, we can also according to the line of the vector sum for normalization, get the corresponding weight vector (program 3, in order to man-machine communication in a program, there are other language note, please understanding). Normally, the actual get judgment matrix is not always consistent, that is not necessarily meet the transitivity and consistency. Practice, also don't have to request the absolute consistency was established, but substantially consistent is required,that is to say,inconsistent degree shall be in the allowable range. The main check the following indicators: ? ?n 。 (1) Consistence Index: CI ? max n ?1
(2) Random Consistency Index: RI ,usually given by practical experience,such as table 6-2.

Table 6-2: random consistency index

n
RI

1 0

2

3

4

5 1.12

6 1.24

7 1.32

8

9

10

11

12

13 1.58

14 1.59

15

0 0.58 0.90

1.41 1.45 1.49

1.51 1.54 1.56

(3) Consistency ratio index: CR ?

CI ,when CR ? 0.10 ,it’s considered the consistency of RI

judgment matrix is acceptable,The corresponding feature vector of the weight vector。At this time:

?max can be used as a sort of

?max ? ?
i ?1

n

? A ? W ?i
nwi
A ?W

1 n ? ? n i ?1

?a
j ?1

n

ij

wj

wi

( A? W ) i presents the

i th components of

The k ? 1 layer nk ?1 element to the total target (top) sorting weight vector is
( ( W ( k ?1) ? w1( k ?1) , w2k ?1) ,?, wnk??11) k

?

?

T

The k layer n k elements on a layer ( k ? 1 layer) on the

Pj
The Matrix is

( k ?1)

( ( ? p1( k ) , p 2kj) ,?, p nk )j , j ? 1,2,?, nk ?1 j k

?

?

j Th element of the weight vector is

T

) P ( k ) ? P1(k ) , P2(k ) ,?, Pn(kk?1

?

?
?

It is nk ? nk ?1 order matrix, said elements of the layer k to layer k ? 1 elements sort weight vector. Then the k th layer elements on the target layer (top) total weight vector for sorting
) W ( k ) ? P ( k ) ? W ( k ?1) ? P1( k ) , P2( k ) ,?, Pn(kk?1 ? W ( k ?1) ( ( ? w1( k ) , w2k ) ,?, wnk ) k

?

?

?

T

Team #23403
or

Page

13

of 54

w

(k ) i

( ? ? pijk ) w(jk ?1) , i ? 1,2,?, nk j ?1

nk ?1

For any k ? 2 has a general formula

W ( k ) ? P ( k ) ? P ( k ?1) ??? P (3) ?W ( 2) (k ? 2)
The W
( 2)

is the first floor of each element in the target layer of total ranking vector

supposing k layer consistency index for c1 and c2... Cl, random consistency index is
( ( RI1( k ) , RI2k ) ,?, RInkk?)1

Therefore the k layer on the target layer (top) combination for consistency index is
( ( CI (k ) ? CI1(k ) , CI 2k ) ,?, CI nkk?)1 ? W (k ?1)

? ?

? ?

Combination for random consistency index is
( ( RI (k ) ? RI1(k ) , RI2k ) ,?, RInkk?)1 ? W (k ?1)

Combination consistency ratio index is

CR ( k ) ? CR ( k ?1) ?
When CR
(k )

CI ( k ) (k ? 3) RI ( k )

? 0.10 , it is considered that the whole level of comparative judgment matrix

through the consistency check. According to the calculation

w1 ? 0.573626 w2 ? 0.286447

w3 ? 0.139927
3.4 The distribution of water resources 3.4.1 Only considering precipitation
Taking water consumption of various provinces and cities into the formula,and making comparisons with each province per capital inflow

Flow( 108 m3 ) Beijing Tianjin Hebei Shanxi
Inner Mongolia

population 19612368 12938224 71854202 35712111 24706321 43746323

Everyone has( m3 ) 551.90887709 484.4405229 1454.5982989 2006.7813969 19935.465098 2449.324941

Liaoning

108.2424 62.678 1045.19 716.664 4925.32 1071.4896

Team #23403 Jilin Heilongjiang Shanghai Jiangsu Zhejaing Anhui Fujian Jiangxi Shandong Henan Hubei Hunan Guangdong Guangxi Sichuan Chongqing Guizhou Yunnan
Tibet

Page 1134.349 2378.9218 71.2481985 1056.0618 1423.8766 1380.0856 1631.1304 2664.974961 1081.2456 1068.547 2239.3514 2931.6 3045.9918 3069.652 4592.95 938.2064 1996.99 3965.61 5335.2 1192.8912 1491.49 2657.682 101.8906 4608.16 27462297 38312224 23019148 78659903 54426891 59500510 36894216 44567475 95793065 94023567 57237740 65683722 104303132 46026629 80418200 28846170 34746468 45966239 3002166 37327378 25575254 5626722 6301350 21813334

14

of 54

Shanxi Gansu Qinghai Xingxia XInjiang avarage

4130.5685391 6209.3022843 309.51709638 1342.566873 2616.1270171 2319.4517156 4421.1005866 5979.6408951 1128.730561 1136.4672008 3912.3686575 4463.206272 2920.3263043 6669.2957244 5711.3315145 3252.447032 5747.317972 8627.2231235 177711.69216 3195.7540656 5831.7700383 47233.220337 1616.9646187 21125.427227 4530.4386855

Conclusion: No shortage of water: Qinghai, Yunnan: Tibet, Xinjiang, Hainan, Guangxi, Fujian, Jiangxi, Sichuan Mild water shortage: Hunan, Inner Mongolia, Heilongjiang, Guizhou, Guangdong, Zhejiang, Chongqing Moderate water shortage: Hubei, Jilin, Shaanxi, Anhui, Gansu Severe water shortage: Liaoning Extreme water shortage: Henan, Jiangsu, Shanxi, Shandong, Hebei, Beijing, Ningxia, Tianjin, Shanghai

Team #23403

Page

15

of 54

Note: this chart is from the average amount of precipitation to consider water shortage degree, but in fact, there are so many problems should be considered, such as evaporation, river flow, etc., Xinxiang,the municipality, annual precipitation is only 277.6 mm, but the evaporation capacity can be reached 3700 mm or even more, water is difficult to store and easy to cause great wastes

3.4.2 Overall consideration
Comprehensive rivers flow and each province from the demand of water resource distribution

Team #23403

Page

16

of 54

4. 4.1

The storage of water The location of the existing storage of water

4.1.1 Existing lakes
Use of the present resources, determine the concentration and storage of water position. China's major freshwater lakes are Poyang lake, Dongting lake, Taihu lake, Hulun lake, hongze lake, Nansihu lake,Bositenghu lake, etc.in addition to Hulun lake in Inner Mongolia, Bositenghu lake in Xinjiang, other lake mostly in the south, so water in the north of the reserve is very little, and each year the south there is a lot of fresh water into the sea, caused great waste water

number 1 2 3 4 5 6

Name of lake Qinghai Lake Poyang Lake Dongting Lake Lake Tai Hulun Lake Hongze Lake

Volume( 108 m3 )

854.45 260 178 50.9 131.3 31.3

Team #23403 7 8 9 10 Nam Lake Selin Lake Nansi lake Bosten Lake

Page

17

of 54

53.6 75

Because of the Qinghai Lake (No. 1), Namucuo (No. 7), Selinhu Lake (No. 8) belongs to salt Water Lake, so they are not considered Excavating artificial lake Excavation takes a lot of manpower and material resources, and it takes much time, so it’s unwise to choose this way Infensify water-contral project This is an usual way which can prevent floods and store water

4.1.2 Large and medium-sized reservoir impoundment dynamic
In 2008, there makes statistics on the national 500 large-scale reservoir and 2980 seat medium reservoir, by the end of the reservoir water amount for 308.3 billion cubic meters, more than 36 billion cubic meters of increases water at the beginning of the total amount. Among them, the end of a large reservoir storage capacity for 275.1 billion cubic meters, more than at the beginning of 34.5 billion cubic meters; By the end of the medium reservoir storage capacity of 33.2 billion cubic meters, more than at the beginning of 1.5 billion cubic meters. The north area reservoir storage capacity by the end of June from a year earlier to reduce total 5.2 billion cubic meters, of which the Yellow River area to reduce 3.5 billion cubic meters; The south four area reservoir storage capacity than at the beginning at the end of a total of 41.2 billion cubic meters of increase, The Yangtze river area and the pearl river area increased 24.2 billion cubic meters and 14.2 billion cubic meters. The provincial administrative region at the beginning of the end of reservoir storage capacity and comparison, Hubei, guangxi, Guizhou in 17 provinces (autonomous region, municipality directly under the central government) reservoir storage capacity increase, total increase the storage capacity of 43 billion cubic meters, Henan, Qinghai, 12 provinces (autonomous region, municipality directly under the central government) reservoir storage capacity, reduce the total reduce the storage capacity of 7 billion cubic meters. Through these data can be concluded that:

Reservoir types large middle

Volume Total( 108 m3 )

2500 330

Team #23403

Page

18

of 54

S ? ? Ln ? S L ? SM ? L1 ? L7 ? L8
n?1

10

? 1634 55 ? 2500? 330? 854.45 . ? 3610 1 .
According to the previous calculation

wu ? 5998769036? 23474? 50 .
? 36463 .69
Assume that the utilization rate of water is 100%, and then all the storage place of water will be updated every year the number of times for:

wu ? 10 ?? 1 S
Although the rainfall in the time distribution of uneven, but update speed can make up for the shortcomings, if the water can uniform distribution of words, so China's water resources is quite rich

4.2 Recommended the location of the reservoir
In addition to the existing reservoir and lake, combined with China's environment, recommend the reservoir position:

Volume river Lancang River; Yellow River Wujiang River Qingshui River Jinsha River Dadu River Jinsha River Wujiang River Qingjiang River Lancang River; The Minjiang River Nenjiang River position Fengqing,Yunnan Xunhua,Qinghan Zhijin Guizhou Jinpin Guizhou Leibo Sichuan Hanyuan,Sichuan Yanyuan,Sichuan Yuqing ,Guizhou Badong,Hubei Jinghong,Yunnan Dujiang dam,Sichuan Nahe,Heilongjiang The height of the dam(m) 292 139 179.5 185.5 278 188 305 232.5 233 110 159 40 ( 108 m3 ) 151.32 6.2 49.25 40.94 129.3 45.8 77.6 64.65 45.8 11.39 11.12 83.24

Team #23403 & Molidawa ,Inner Mongolia

Page

19

of 54

5 Desalinator 5.1 Seawater desalination
Third、Establish a sequential estimation desalination plant construction and processing cost. Nowadays, seawater desalination is a hot topic, although the earth is covered by 70.8% of the the water, but fresh water resource is very limited. The world of water for a total of 14.05

? 109 m3 .In all water, 97.5% is can't drink salt water. In the remaining 2.5% of the fresh water,
87% is the human use hard poles of the ice sheet, mountain glaciers and permafrost zone of ice and snow. Real human can use is the rivers and lakes as well as part of the groundwater, accounted for only 0.26% of the total water, and uneven distribution. Therefore, the world has more than children, women and men can't get adequate and safe water to maintain their basic needs. In many aspects, water and health has the close relation. In fact every decision we did relates to water, and water on the impact of health.

Salt water Ice Not drinking water Drinking water

97.50% 2.17% 0.07% 0.26%

By the above and above, it is known that the earth although there are rich water resources, but by more than 99.5% of the water is the human is not able to use, but in the use of 0.3%, and nearly a quarter cannot be mining groundwater and atmospheric water, only 0.26% can be human use, therefore, seawater desalination, become the current human need to quickly solve the problem

Team #23403

Page

20

of 54

Now the desalination method is sea water freezing method, electro dialysis method, distillation, reverse osmosis method, the application of reverse osmosis membrane reverse osmosis method with its simple equipment, easy maintenance and equipment modular advantages quickly occupied the market, and gradually replace distillation become the most widely used method.

Reverse osmosis is a kind of pressure drive separation technique, due to the desalting process without phase change, has the remarkable energy saving features. Energy recovery device makes use of the sea water desalination power consumption can be less than 4 kw? h m3

5.2 Seawater desalination cost analysis
Hyper filtration desalination cost generally includes several parts: chemical, electric power, membrane replacement cost, the worker salary welfare, fixed assets depreciation, equipment maintenance fees, management fees, loan interest and other parts. The desalination technology, is 10000 tons/day for reverse osmosis desalination plant, general chemical consumption in 0.3 ~ 0.5 Yuan/ton water; Power consumption is about 2.2 ~ 2.5 Yuan/ton water; Membrane replacement cost 0.3 ~ 0.5 Yuan/ton water; The worker salary welfare about 0.2 Yuan/ton water; Fixed assets depreciation cost 0.9 ~ 1.2 Yuan/ton water; Equipment maintenance cost is 0.2 ~ 0.4 Yuan/ton water; Management fee is less than 0.1 Yuan/tons of water. Because the price is not stable, we take the intermediate value as the result of the computation, namely:

$T ? ?

$L ? ? $H 2

? 4.7( yuan t )

5.3 The location and scale of the desalinator

Team #23403

Page

21

of 54

Borders on the blue and red two line, blue for and the sea, the red border with China on behalf of the borders, before the conclusion No shortage of water: Fujian, Guangxi Mild water shortage: Guangzhou, Zhejiang Severe water shortage: Liaoning Extreme water shortage: Jiangsu, Shandong, Hebei, Tianjin Using analytic hierarchy process, an area of whether should establish desalination plant were analyzed

Compared with the degree of water shortage ( C1 ), GDP( C2 ), population density ( C3 ), it can come to the following judgment matrix

Team #23403

Page

22

of 54

? a11 ?a ? 21 ?a31 ?

a12 a22 a32

a13 ? ? 1 ? ? ?1 a23 ? ? ? 15 a33 ? ? ? ? 3

5 3? ? 1 3? 1 1? 3 ? ?

1 n aij wi ? ? n (i ? 1,2, ? , n) n j ?1 ? akj
k ?1

Similarly, we can also according to the line of the vector sum for normalization, get the corresponding weight vector (program 3, in order to man-machine communication in a program, there are other language note, please understanding). Get the following data

w1 ? 0.623406 w2 ? 0.238969

w3 ? 0.137627
These nine provinces data respectively

Province Guangdong Zhejiang Liaoning Fujian Guangxi Jiangsu Hebei Shandong Tianjin

GDP 53477.408 32000.445 22530 25273.923 11284.6 48604.152 24674.262 45429.985 11180.875

Per capita amount of precipitation 2920.3263 2616.127 2449.3249 4421.1006 6669.2957 1342.5669 1454.5983 1128.7306 484.4405

population density(p/ km 2 )

580.10640712 534.6452947 299.83771761 303.90622735 195.02808898 766.66572125 378.18001053 607.05364385 1176.2021818

After data normalization and equity multiplication get formula:

Score ? 0.1NGDP ? w1 ? NPCAP ? w2 ? NPD ? w3
Each province that establish desalination plant score is

Province Jiangsu Guangdon g Shandong Zhejiang

score 2603.6662254 2556.1079411 2478.8539283 1296.1720605

number 6.2083848391 6.0949831563 5.9107726622 3.0906937651

Team #23403 Hebei Liaoning Fujian Tianjin Guangxi 1138.5566162 777.95523041 477.25983254 419.3790165 -917.10732018

Page 2.7148632053 1.8550171335 1.1380155719 1 NOT

23

of 54

According to the calculation, the same scale desalination plant in Jiangsu, Guangdong, and Shandong construction should be 6, Zhejiang, Hebei construction three, Liaoning construction 2, Fujian, Tianjin construction 1, Guangxi does not construct

6 Scheduling of water 6.1 Pipe network solution

Fourth, acting boldly, making the big rivers as natural pipeline, and setting a large number of artificial pipeline,connecting all cities, according to the existing water and regional water requirement, as far as possible to achieve every place of water demand, at the same time use the minimum spanning tree model, making lowest cost.

City Beijing Tianjin Shanghai Chongqing Lasa Wulumuqi Yinchuan Huhehaote Nannin Haerbin Changchun Shenyang Shijiazhuang Taiyuan Xining Jinan Zhengzhou Nanjing Hefei Hangzhou

longitude and latitude east longitude north latitude 116.46 39.92 117.2 39.13 121.48 31.22 106.54 29.59 91.11 29.97 87.68 43.77 106.27 38.47 111.65 40.82 108.33 22.84 126.63 45.75 125.35 43.88 123.38 41.8 114.48 38.03 112.53 37.87 101.74 36.56 117 36.65 113.65 34.76 118.78 32.04 117.27 31.86 120.19 30.26

distance(km) to 0° longitude(x) 9932 10109 11552 10302 8776 7040 9252 9395 11101 9825 10047 10227 10027 9878 9087 10438 10382 11196 11075 11544 to 0° latitude(y) 4439 4351 3472 3290 3333 4867 4278 4539 2540 5087 4879 4648 4229 4211 4065 4075 3865 3563 3543 3365

Team #23403 Fuzhou Nanchang Changsha Wuhan Guangzhou Lanzhou Xi'an Chengdu Guiyang Kunming Xianggang Aomen 119.3 115.89 113 114.31 113.23 103.73 108.95 104.06 106.71 102.73 114.1 113.33 26.08 28.68 28.21 30.52 23.16 36.03 34.27 30.67 26.57 25.04 22.2 22.13 11915 11305 11073 10950 11576 9328 10012 9952 10612 10349 11747 11673

Page

24

of 54

2900 3189 3137 3394 2575 4006 3811 3410 2954 2784 2469 2461

Using minimum spanning tree model, will all the city link, and will be part of the river, the Yellow River as for pipeline under Yinchuan for sediment concentration too big and not consideration, regardless of altitude, imaginary into water can be random uniform distribution to all of the channel and the water, use program (see program 4) concluded that preliminary model

The black line for pipe, according to the plan, the each big city by a water network but, considering the terrain, many local elevation head is very big, the parts not desirable, is put forward to change ideas, plan in the following figure

Team #23403

Page

25

of 54

This scheme is very good solution to solve the problem of altitude, and get a more reasonable scheme, but this plan still has problems, such as, the tarim river is introduced from xining tarim river water resources, canal evaporation capacity is too big, and the complex terrain, it is not convenient to start, and the high cost of pipeline, the effect is not much, maintenance cost also is very breathtaking, so continue to change the plan, in the Yangtze river and Yellow River upstream link, the southern city of water by using existing enough, can satisfy the requirements of the water supply pipeline, so don't need to supply each other

Team #23403

Page

26

of 54

Model evaluation: Advantage: uniform distribution of water resources is very reasonable, little damage to the environment Disadvantage: construction cost and maintenance cost especially large

6.2 The scheme of canal
hypothesis in the Yangtze River upstream or middle ground breaking, and link the Yellow River water resources together, connect China's water resources all together, predicting effect and calculating costs and then comparing this scheme with the previous scheme China's terrain is probably the west to the east, high, low, the north south high, low, if the water from the south to the north, if direct north, need to pumping, increased a lot of cost, so take the west with high geographic advantage, transport water from southwest to north

Team #23403

Page

27

of 54

According to the topography and river distribution, the first idea is in the west of China, central and eastern respectively layout three shipping line, temporarily named line A, line B, line C

Team #23403

Page

28

of 54

6.2.1 line A line A of the main body of the project
The Yangtze River is line A project main water recourse, quality good quantity abundance, the average years of the 9000 more than cubic meters, 6000, is more than cubic meters, for line A engineering provide superior water conditions. Huaihe River and YiShuSi drainage is line A project of water. Planning in 2010 and 2030 years' average level respectively for 27.86 billion cubic meters and 25.45 billion cubic meters.

line A of the project river in Jiangsu province north adjustable engineering, enlarging the scale, north extension. Planning from Jiangsu Yangzhou Yangtze river main stream near the water, the use of the Beijing Hangzhou grand canal and its parallel river water, connected the Hongze lake, the lake, NaSiHu, DongPingHu, and as a storage reservoir, the water pump station step by step into the DongPingHu, baffle two road, journeyed north of the Yellow River in the gravity to Tianjin; Another way to east longitude new lines jiaodong area water mains joint Yellow River Jinan Qingdao channel, to the jiaodong area water supply. From the Yangtze River to DongPingHu set 13 cascade pumping station, the total head 65 meters. line A from the Yangtze River water diversion project, sanjiang camp and high port 2 water entrance, sanjiang camp is the main entrance of the water. High port in the Yangtze River low water season in winter, take the three elements to baoying station booster hydrating task. From the Yangtze river to the hongze lake, the sanjiang camp smoke lead river transport, points to the east and west two transport line, which use was, three elements, northern Jiangsu irrigation total channel and huaihe River into the river way water delivery. Luoma Lake to the Hongze Lake, the canal and XuHongHe double water. The new open into child xinhe and by use of the second river water into the Hongze Lake from the canal. To NaSiHu Luoma Lake, there are three ShuShuiXian: the canal to HanZhuang canal, the canal ~ not Firm River and room Pavilion River. In the west NaSiHu besides the lake water outside, should be part of the lake section excavation deep groove, and in the secondary dam built station pumping into Lake Superior. NaSiHu north to DongPingHu, using LiangJi canal water to deng building, built into the DongPingHu pumping station, the new lake LiuChangHe water sent to the eight bay, again by pumping station pumping into DongPingHu old broads. Wear yellow position in XieShan and choose between WeiShan, including the south bank ShuShuiQu, wearing yellow hub and the north WeiShan export wear Yellow River diversion canal of three parts. Wear yellow tunnel design flow of 200 cubic meters/SEC, need to be in Yellow River bed below 70 meters through a diameter of 9.3 meters of inverted siphon tunnel. Cross the Yellow River water, connect the little canal to linqing, through the WeiYunHe interchange, the velocity WuQu wuqiao in north into the south canal water delivery to JiuXuanZha, again by horse factory distributaries water delivery to Tianjin BeiDaGang. From the Yangtze River to Tianjin BeiDaGang reservoir water main line length of about 1156 kilometers, of which 646 kilometers south of the Yellow River, wearing yellow section 17 km, 493 km north of the Yellow River. The jiaodong area water route project of the west DongPingHu, east to weihai city MiShan reservoir, the total length of 701 km. From the west XiangDongKe divided into west, middle and east three parts, namely the western east west water adjustment projects; by the

Team #23403

Page

29

of 54

middle Yellow River Jinan Qingdao channel section; For the Yellow River Jinan Qingdao channels to weihai city east MiShan reservoir. line A of project planning only includes the construction of the western engineering, namely DongPingHu Yellow River to ji-qing section 240 km river after the completion of Shandong province, and the jiaodong area emergency water transfer project cohesion, can replace part of the Yellow River water.

According to line A project within the scope of water supply in Jiangsu province, Shandong province, hebei province, Tianjin city water resources planning results and the haihe river basin water resources planning ", the huaihe river basin of planning, considering the water-saving measures, the water supply range should be transferred water for 4.557 billion cubic meters, of which 2.501 billion cubic meters of Jiangsu, Anhui 357 million cubic meters, Shandong 1.699 billion cubic meters; 2030 to 9.318 billion cubic meters of water level adjustment, of which 3.042 billion cubic meters of Jiangsu, Anhui, Shandong, 542 million cubic meters to 3.734 billion cubic meters, hebei 1 billion cubic meters, Tianjin 1 billion cubic meters. Project total investment is 24 billion Yuan

6.2.2 line B
line B the main body of the project

Team #23403

Page

30

of 54

The south-to-north water diversion project line B the main body of the project by the catchment area engineering and water engineering of two main components. Danjiangkou water conservancy hub for diverting water from the engineering construction and the late middle and lower reaches of hanjiang river compensation projects; Water is the main canal project lead han and Tianjin main canal. (一) catchment area engineering 1. The danjiangkou water conservancy hub extension project of the danjiangkou reservoir control 60% of the hanjiang river valley area, the average years of 40.85 billion cubic meters of natural runoff, consider upstream development, forecast in 2020 for the 38.54 billion cubic meters of water. In danjiangkou water conservancy project has been built on the basis of the initial scale, the original planning construction completed, dam crest height from the current 162 meters, heightening to 176.6 meters, 157 meters impoundment level design by up to 170 meters, with a total capacity of 29.05 billion cubic meters, the early than increase capacity of 11.6 billion cubic meters, increase effective regulation capacity of 8.8 billion cubic meters, increase the flood control capacity of 3.3 billion cubic meters. Later the danjiangkou reservoir scale normal storage le

(2) The water conveyance project 1. The main canal south of the Yellow River main canal line already built by the ancient position, the huaihe river watershed FangCheng puerto and crossing the Yellow River's scope limitation, to clear. The north of Yellow River has comparative use existing river water and new open channel two kinds of schemes, from ensuring water quality and the gravity two aspects consider choosing new open channel contour scheme. The main canal from nanyang XiChuanXian ceramic branch water irrigation system, has been built along the eight kilometers channel extension, in funiu the foothill piedmont duty long and plain and area, northeast, travel by nanyang after a baihe across the huaihe river watershed FangCheng puerto into the huaihe river basin. The baofeng, YuZhou, xinzheng west, northwest in Zhengzhou Yellow River in the nozzle parker through. Then along the taihang montain was also piedmont plain, Beijing and Hong Kong high iron, jingguang railway west, north to Tang Xian into low the ecoenvironment, from north MaHe into Beijing land, after the Yongding River in Beijing area, the end is YuYuanTan. The main canal length of 1241.2 km. Tianjin main canal from hebei XuShuiXian west Montenegro village north main canal water on the east to the west HeZha Tianjin, 142 kilometers long. The main canal irrigation system design level 147.2 meters, 49.5 meters, the end all gravity, the main control point water level, flow for: control point or channel section design flow (m3 / s) design water level (yellow sea elevation) (m) the ancient ~ FangCheng 630 (increase 800) 147.2 ~ 137.8 over the Yellow River 500 119.5 ~ 106.0 in Hebei 91.3 into Beijing 70 61.1 and 49.5 the main YuYuanTan into Tianjin 70 64.9 ~ 2.7 south of the Yellow River channel longitudinal grade 1/25000; North of the Yellow River 1/30000 ~ 1/15000. All channels according to different soil, we adopt concrete, water soil, spray coating, etc all section lining, impervious minus rough. Channel design depth with design flow from the south to the north decline, from the ancient 9.5 meters to Beijing 3.5 meters, the base width from 5.6 m ~ 7 m. The total of the main engineering geological conditions and the main geological problems has basically clear. In the expansive soil and loess class channel section of canal slope stability problem, saturated sand period of vibration liquefaction problem and high seismic LieDu

Team #23403

Page

31

of 54

period of seismic problems, through the pressure of coal, and coal mine goaf collapse problems in the design take corresponding engineering measures to solve. The main canal of the Yangtze river, the communication, the Yellow River, the haihe river basin, should be through the Yellow River and other collector area more than 219 square kilometers lO river, across the railway and place, need to be built across the main canal of the highway bridge 571 seats, in addition to gate, distribution structure, depletion buildings and tunnel, culvert, etc., on the main canal of all kinds of building a total of 936 seats, one of the biggest is to wear the Yellow River engineering. Tianjin through the main river and the size of the building has 119 seats. 2. The main canal in the Yellow River project in Yellow River basin planning of Zhengzhou peach blossom valley reservoir area across the Yellow River, wearing yellow engineering scale, problems are complicated, the investment, the main canal is the most key buildings. The scheme is more comprehensive research that aqueduct and tunnel inverted siphon type two kinds of technology is feasible. Due to the tunnel scheme can avoid the Yellow River, the Yellow River and the planning of the contradiction, shield tunneling technology in China and abroad have successful experience can be used for reference, so combining the channel line layout, we recommend the cedar nozzle tunnel scheme. To wear the Yellow River tunnel project total length 7.2 km, the design water capacity of 500 cubic meters/second, the two inner diameter of 8.5 meters circular section tunnel. (3) the main quantities and investment earth excavation 600 million cubic meters; Excavation of 060 million cubic meters; T fill 230 million cubic meters; Concrete 15.83 million cubic meters; Lining cement-soil 7.18 million cubic meters; Reinforced steel 700000 tons; Permanent covers an area of 422000 mu (including the flood of 235000 mu) temporary covers an area of 110000 mu of line B engineering control progress is the main factor of danjiangkou reservoir immigration and the main canal of the project in Yellow River engineering. To wear the Yellow River project to adopt the shield machine excavation, time limit for a project need about six years, and should be considered engineering construction period. By the end of 1993, price level estimation, engineering static total investment of about 40 billion Yuan.

6.2.3 line C line C of the main body of the project
Using tunnel mode to tune TongTianHe (the upper part of the Yangtze River), built (Yangtze River tributary), dadu river in to the Yellow River (northwest), that is, from the Yangtze River upstream of the Yellow River water call. This project is located in the Qinghai Tibet plateau, the elevation is high, the geological structure complicated, seismic intensity big, and to build 200 meters of the high dam and 100 km above the tunnel, engineering complex, costly to can't estimate

Team #23403

Page

32

of 54

AL: line A

BL: line B

CL: line C

6.2.4 Model evaluation
Model evaluation: Advantages: increase the Yangtze River branch of the Yangtze River, lead to the Yellow River water, reasonably allocate the water resources, and the cost is low; do not need a large number of subsequent costs Disadvantages: the damage to the environment is very serious, especially for the ecological environment of the south

6.3 comparison and Suggestions:
Scheme 1 and scheme 2 all can meet the national water demand, but the cost is different, the cost of scheme 1 is economy, the cost of scheme 2 is the environment.

?1 ? ?0 ? l ? (? x ? ? z ) ? t ? ? y1

? 2 ? ?0 ? l ? ? z ? t ? ? y 2
?? x ? 0

? y1 ? ? y 2
? ?1 ? ? 2

Team #23403

Page

33

of 54

Although scheme 1 costs high, but little damage to the environment, and deal with small environment brought problems and will be a lot of cost, personally, I prefer to scheme 1, but the scheme 2 line B and line A on the environmental impact is not big, the cost is low, if the two schemes merger, may is A better choice, leaders according to economic, environmental, and other comprehensive factors to determine final project Seventh, forecast after water after adjustment, the state of the economy, culture, environment influence after adjustment, because after all can greatly increase the supply of water, so to the economy of the country is great to promote role, but to culture very environment, with unpredictable damage, may lead to many folk custom disappear.

7 Evaluation
Model considers many links, but in order to simplify the model, we also assumed a lot, make the model become more calculation but also make more errors, because of this, we considered a variety of models, choose a suitable model for promotion, in addition, the data of practical is the early before data, but also for the future is no big change in the premise of forecast, if need to promote model, it is important to note that place

8 Letter
To whom it may concern: Distribution of water resources in our very uneven, regardless of time or space, therefore, building reservoirs and the South-to-North Water Transfer Project is very important, our scheme can solve these problems, to build dams in many rivers, and canals and pipelines will be the south water to north, so that not only influence on the environment is small, but the cost is not very high Notably, the waste of water resources in China is very serious, it is very important to improve the people's awareness of water conservation, in addition, agricultural water consumption is very large, should improve the irrigation technology, the increase rate of water I believe, in the efforts of people across the country, our country will become more and more beautiful The future of our country lies in your hand. You won't regret Yours sincerely Team #23403 Feb. 5 th 2013

Team #23403

Page

34

of 54

References
the new China city fifty years, on December 31, 1998 China's national weather service National Statistics Bureau Thematic Database for human-earth System Junior middle school geography eighth grade book one JOURNAL OF NATURAL RESOURCES Vol.21 No.1 Jan, 2006 People's Daily Journal of Zhejiang University (Engineering Science) Vol.38 No.9 Sep, 2004 Resources and Environment in the Yangtze Basin Vol.18 No.2 Feb.2009 Journal of China Institute of Water Resources and Hydropower Research Vol.6 No.3 Sep. 2008 China Academic Journal Electronic Publishing House 1990 Vol.6 No.1 Advance in Science and Technology of Water Resources Vol.29 No.3 Jun.2009

Appendix
Appendix 1 (matlab) Program 1 x=1:1:8; y= [412.9 428 432.1 A=polyfit(x, y, 2); z=polyval (A, x); Plot(x, y,'k+', x, z,'r'); Program 2 x=1:1:8; y= [412.9 428 432.1 A=polyfit(x, y, 1); z=polyval (A, x); Plot(x, y,'k+', x, z,'r');

442 441.5

446.2

448.0

450.2];

442 441.5

446.2

448.0

450.2];

Team #23403

Page

35

of 54

Appendix2 (vc++) Program1 #include<stdio.h> #include<math.h> main () { int i; double s, a [9], x; a [0] =64.9227; a [1] =69.6530; a [2] =70.3707; a [3] =73.9224; a [4] =74.9880; a [5] =76.785; a [6] =76.7686; a [7] =79.7792; a [8] =79.6279; s=0; for(i=0;i<9;i++) { x=a[i]+0.15742*(i+1)*(i+1)-3.3219*(i+1)-62.467; if (x<0) s=s-x; else s=s+x; } printf("%f\n",s); } Program2 #include<stdio.h> #include<math.h> main() { int i; double s,a[9],x; a[0]=64.9227; a[1]=69.6530; a[2]=70.3707; a[3]=73.9224; a[4]=74.9880; a[5]=76.785;

Team #23403 a[6]=76.7686; a[7]=79.7792; a[8]=79.6279; s=0; for(i=0;i<9;i++) { x=a[i]-1.7476*(i+1)-65.353; if (x<0) s=s-x; else s=s+x; } printf("%f\n",s); }

Page

36

of 54

Program3(matlab)
function [w,lmta,CI,RIn,flag]=maxlmta(A) RI=[0,0,0.58,0.90,1.12,1.24,1.32,1.41,1.45,1.49,1.51]; Asum=sum(A); n=length(A); for j=1:n for i=1:n Wij(i,j)=A(i,j)./Asum(1,j); end end Wij=Wij'; Wi=sum(Wij); Wi=Wi'; W=sum(Wi); w=Wi./W; lmta=sum(1/n*(A*w)./w); RIn=RI(1,n); CI=(lmta-n)/(n-1); CR=CI/RIn; if CR<0.1

Team #23403
disp('YES') flag=1; else disp('NO') flag=0; End

Page

37

of 54

function AHP() numprilay = 0; numevepri = 0; m = 0; n = 0; i = 1; lmta2 = 0; CI2 = 0; RI2 = 0; lmta3 = 0; CI3 = 0; RI3 = 0; lmta4 = 0; CI4 = 0; RI4 = 0; lmtap = 0; CIp = 0; RIp = 0; %初始化各个参数 Initialize each parameter numprilay=input('输入准则层层数 Input criterion layer upon layer number :'); n=numprilay; while n>0 m=input(['输入第',num2str(i),'准则层准则数 Input the ', num2str (i), 'rule layer number of criteria:']); numevepri=[numevepri,m]; n=n-1; i=i+1; end numevepri=numevepri(1,2:numprilay+1); %除去第一个无意义元素 Remove the first element of nonsense numpla=input('输入方案层数方案数 Input scheme layer scheme number:'); %初始化第 1 准则层对目标层的成对比较矩阵并检验一致性,若不通过需重新输入 Initialize

Team #23403

Page

38

of 54

the first criterion layer on the target layers of paired comparison matrix and inspection consistency, if not through the need to enter again flag1=0; while flag1~=1 if numprilay>=1 A1=input('输入第 1 准则层对目标层的成对比较矩阵 Input the first criterion layer on the target layers of paired comparison matrix:'); [w1,lmta1,CI1,RI1,flag1]=maxlmta(A1); if flag1==0 disp('重新输入' resume load) end end end %若存在第 2 准则层,计算其各个参数 If present second criterion layer, and the various parameters were calculated if numprilay>=2 flag2=zeros(1,numevepri(1)); %设置标志位,检测第几个矩阵不能通过一致性检验 %判断是否全部通过一致性检验, 若不通过这重新输 Set a mark, detection which a matrix can't through the consistency check % determine whether all through the consistency check, if not input again while sum(flag2)~=numevepri(1) A2=input('输入第 2 准则层对第 1 准则层的成对比较矩阵 Input the second criterion layer on layer 1 criterion of paired comparison matrix:'); A2size=size(A2,2); w2=zeros(A2size,1); %初始化权向量 Initial weight vector for i=1:numevepri(1); a2=A2((i-1)*A2size+1:i*A2size,:); % 提 取 每 个 成 对 比 较 矩 阵 traction each paired comparison matrix [w2temp,lmta2temp,CI2temp,RI2temp,flag2temp]=maxlmta(a2); w2=[w2,w2temp]; %生成权向量 Generation weight vector lmta2=[lmta2,lmta2temp]; % 生 成 最大 特 征根 The biggest characteristic root formation CI2=[CI2,CI2temp]; %生成 CI Generation CI RI2=[RI2,RI2temp]; %生成 RI Generation RI flag2(i)=flag2temp; %生成标志位 Generation marks end w2=w2(1:A2size,2:numevepri(1)+1); %除去第一个无意义元素 Remove the first element of nonsense lmta2=lmta2(1,2:numevepri(1)+1); % 除 去 第 一 个 无 意 义 元 素 Remove the first element of nonsense Remove the first element of nonsense CI2=CI2(1,2:numevepri(1)+1); %除去第一个无意义元素 RI2=RI2(1,2:numevepri(1)+1); %除去第一个无意义元素 Remove the first element

Team #23403
of nonsense

Page

39

of 54

%显示哪些不能通过一致性检验的矩阵 Display which can't through the consistency check matrix for i=1:numevepri(1) if flag2(i)==0 disp(['需要重新输入第',num2str(i),'个成对比较矩阵'] Need to input again', num2str (I), 'a paired comparison matrix); end end end end %若存在第 3 准则层, 计算其各个参数 If present third criterion layer, and the various parameters were calculated if numprilay>=3 flag3=zeros(1,numevepri(2)); %设置标志位,检测第几个矩阵不能通过一致性检验 %判断是否全部通过一致性检验,若不通过这重新输入 Set a mark, detection which a matrix can't through the consistency check % determine whether all through the consistency check, if not input again while sum(flag3)~=numevepri(2) A3=input('输入第 3 准则层对第 2 准则层的成对比较矩阵:' Input the third criterion layer to the second criterion layer of paired comparison matrix); A3size=size(A3,2); w3=zeros(A3size,1); %初始化权向量 Initial weight vector for i=1:numevepri(2); a3=A3((i-1)*A3size+1:i*A3size,:); %提取每个成对比较矩阵 Extraction each paired comparison matrix [w3temp,lmta3temp,CI3temp,RI3temp,flag3temp]=maxlmta(a3); w3=[w3,w3temp]; %生成权向量 Generation weight vector lmta3=[lmta3,lmta3temp]; % 生 成 最大 特 征根 The biggest characteristic root formation CI3=[CI3,CI3temp]; %生成 CI Generation CI RI3=[RI3,RI3temp]; %生成 RI Generation RI flag3(i)=flag3temp; %生成标志位 Generation marks end w3=w3(1:A3size,2:numevepri(2)+1); % 除 去 第 一 个 无 意 义 元 素 Remove the first element of nonsense lmta3=lmta3(1,2:numevepri(2)+1); %除去第一个无意义元素 Remove the first element of nonsense

Team #23403

Page

40

of 54

CI3=CI3(1,2:numevepri(2)+1); %除去第一个无意义元素 Remove the first element of nonsense RI3=RI3(1,2:numevepri(2)+1); %除去第一个无意义元素 Remove the first element of nonsense

%显示哪些不能通过一致性检验的矩阵 Display which can't through the consistency check matrix for i=1:numevepri(2) if flag3(i)==0 disp(['需要重新输入第',num2str(i),'个成对比较矩阵'] need to input again num2str (I), 'a paired comparison matrix); end end end end %若存在第 4 准则层,计算其各个参数 If present 4 criterion layer, and the various parameters were calculated if numprilay>=4 flag4=zeros(1,numevepri(3)); %设置标志位,检测第几个矩阵不能通过一致性检验 Set a mark, detection which a matrix can't through the consistency check %判断是否全部通过一致性检验, 若不通过这重新输入 Determine whether all through the consistency check, if not through this new input while sum(flag4)~=numevepri(3) A4=input('输入第 4 准则层对第 3 准则层的成对比较矩阵:Input the fourth criterion layer to the third criterion layer of paired comparison matrix'); A4size=size(A4,2); w4=zeros(A4size,1); %初始化权向量 Initial weight vector for i=1:numevepri(3); a4=A4((i-1)*A4size+1:i*A4size,:); %提取每个成对比较矩阵 Extraction each paired comparison matrix [w4temp,lmta4temp,CI4temp,RI4temp,flag4temp]=maxlmta(a4); w4=[w4,w4temp]; %生成权向量 Generation weight vector lmta4=[lmta4,lmta4temp]; % 生 成 最大 特 征根 The biggest characteristic root formation CI4=[CI4,CI4temp]; %生成 CI Gneration CI RI4=[RI4,RI4temp]; %生成 RI Gneration RI flag4(i)=flag4temp; %生成标志位 Generation marks end

Team #23403

Page

41

of 54

w4=w4(1:A4size,2:numevepri(3)+1); % 除 去 第 一 个 无 意 义 元 素 Remove the first element of nonsense

lmta4=lmta4(1,2:numevepri(3)+1); %除去第一个无意义元素 Remove the first element of nonsense

CI4=CI4(1,2:numevepri(3)+1); %除去第一个无意义元素 Remove the first element of nonsense

RI4=RI4(1,2:numevepri(3)+1); %除去第一个无意义元素 Remove the first element of nonsense

%显示哪些不能通过一致性检验的矩阵 Display which can't through the consistency check matrix for i=1:numevepri(3) if flag4(i)==0 disp([' 需 要 重 新 输 入 第 ',num2str(i),' 个 成 对 比 较 矩 阵 '] Need to input againm2str (I), 'a paired comparison matrix); end end end end %初始化方案层对最后一个准则层的成对比较矩阵,计算其各个参数 Initialization scheme layer to the last rule layer paired comparison matrix, the various parameters were calculated flagp=zeros(1,numevepri(numprilay)); %设置标志位,检测第几个矩阵不能通过一致性检验 %判断是否全部通过一致性检验,若不通过这重新输入 Set a mark, detection which a matrix can't through the consistency check % determine whether all through the consistency check, if not input again while sum(flagp)~=numevepri(numprilay) P=input(['输入方案层对第',num2str(numprilay),'准则层的成对比较矩阵:'] Input scheme layer for the ', num2str (numprilay), 'criterion layer of paired comparison matrix:); psize=size(P,2); wp=zeros(psize,1); %初始化权向量 Initial weight vector for i=1:numevepri(numprilay); p=P((i-1)*psize+1:i*psize,:); %提取每个成对比较矩阵 Extraction each paired comparison matrix [wptemp,lmtaptemp,CIptemp,RIptemp,flagptemp]=maxlmta(p);

Team #23403

Page

42

of 54

wp=[wp,wptemp]; %生成权向量 Generation weight vector lmtap=[lmtap,lmtaptemp]; % 生 成 最大 特 征根 The biggest characteristic root formation CIp=[CIp,CIptemp]; %生成 CI Gneration CI

RIp=[RIp,RIptemp]; %生成 RI Gneration RI flagp(i)=flagptemp; %生成标志位Generation marks end wp=wp(1:psize,2:numevepri(numprilay)+1); %除去第一个无意义元素 Remove the first element of nonsense

lmtap=lmtap(1,2:numevepri(numprilay)+1); %除去第一个无意义元素 Remove the first element of nonsense

CIp=CIp(1,2:numevepri(numprilay)+1); %除去第一个无意义元素 Remove the first element of nonsense

RIp=RIp(1,2:numevepri(numprilay)+1); %除去第一个无意义元素 Remove the first element of nonsense

%显示哪些不能通过一致性检验的矩阵% display which can't through the consistency check matrix for i=1:numevepri(numprilay) if flagp(i)==0 disp(['需要重新输入第',num2str(i),'个成对比较矩阵'] need to input again2str (I), 'a paired comparison matrix'); end end end %计算组合权向量和组合一致性检验 Calculation combined weight vector and the combination of consistency check switch numprilay case 1 w=w1'*wp'; %计算组合权向量 Calculation combined weight vector CRfinal=CI1/RI1+(CIp*w1)/(RIp*w1); %计算组合一致性检验 Calculation combined consistency check case 2

Team #23403

Page

43

of 54

w=w1'*w2'*wp'; %计算组合权向量 Calculation combined weight vector CRfinal=CI1/RI1+(CI2*w1)/(RI2*w1)+(CIp*w2)/(RIp*w2); %计算组合一致性检验 Calculation combined consistency check case 3 w=w1'*w2'*w3'*wp'; %计算组合权向量 Calculation combined weight vector CRfinal=CI1/RI1+(CI2*w1)/(RI2*w1)+(CI3*w2)/(RI3*w2)+(CIp*w3)/(RIp*w3); %计 算组合一致性检验 Calculation combined consistency check case 4 w=w1'*w2'*w3'*w4'*wp'; %计算组合权向量 Calculation combined weight vector CRfinal=CI1/RI1+(CI2*w1)/(RI2*w1)+(CI3*w2)/(RI3*w2)+(CI4*w3)/(RI4*w3)+(CIp*w4)/(RIp *w4); %计算组合一致性检验 Calculation combined consistency check otherwise disp('错误!'error); end if CRfinal<0.1 disp('通过组合一致性检验 pass the combination of consistency check ' disp('组合权向量:'Combination weight vector:); w else disp('不能通过组合一致性检验'can not pass the combination of consistency check End

Program4 (vc.cpp) #include <stdio.h> #include <math.h> #include <malloc.h> typedef struct jd{ struct jd *next; int date; }jd; void cr(int i,jd *&j){ jd *k=(jd *)malloc(sizeof(jd)); k->next=j; j->date=i; j=k; } int cz(int i,jd *&j){ jd *k=j->next;

Team #23403
while(1){ if(k->date==i) return 1; else if(k->next!=NULL) k=k->next; else return 0; } }

Page

44

of 54

void main(){ double b[34][34],k; int a[][2]={9932,4439,10109,4351,11552,3472,10302,3290,8776,3333,7040,4867,9252,4278,9395,45 39,11101,2540,9825,5087,10047,4879,10227,4648,10027,4229,9878,4211,9087,4065,10438,4075 ,10382,3865,11196,3563,11075,3543,11544,3365,11915,2900,11305,3189,11073,3137,10950,339 4,11576,2575,9328,4006,10012,3811,9952,3410,10612,2954,10349,2784,11747,2469,11673,2461 }; int i,j,p=-1,q=-1; int c[]={3,4,5,9,15,18,19,22,23,24,30,31,32}; for(i=0;i<34;i++) for(j=0;j<34;j++){ b[i][j]=sqrt((a[i][0]-a[j][0])*(a[i][0]-a[j][0])+(a[i][1]-a[j][1])*(a[i][1]-a[j][1])); } jd *ja=(jd *)malloc(sizeof(jd)); ja->next=NULL; for(i=0;i<13;i++){ cr(c[i]-1,ja); } while(1){ int t=0; k=1000000000; for(i=0;i<34;i++) for(j=0;j<i;j++){ if(cz(i,ja)) if(!cz(j,ja)){ if(k>=b[i][j]){ p=i; q=j; k=b[i][j]; t=1; } } else if(cz(j,ja)) if(!cz(i,ja)){ if(k>=b[j][i]){ p=j;

Team #23403
q=i; k=b[j][i]; t=1; } } } if(t==0) break; printf("%d->%d\n",p+1,q+1); cr(q,ja); } }

Page

45

of 54

Table 1
city 1990 1991 1992 1993 1994 1995 1996 1997 1998

1.beijing 2.tianjin 3.hebei Shijiazhua ng Tangshan Qinghuan gdao Handan Xingtai Baoding Zhangjiak ou Chengde Changzho u Langfang Hengshui 4.shanxi Taiyuan Datong Yangquan Changye Jincheng Shuozhou 5.neimeng gu Huhehaot

62.73 42.9

79.46 46.44

81.34 45.26

84.95 45

89 45.45

91.52 46.7

90.81 46.75

90.08 49.5

96.93 52.8

55.04 37.97 59.93 68.36 83.57 55.61 39.92 50.21 30.63 60.82 46.74

56.96 40.94 65.02 68.23 78.52 60.14 41.52 56.37 31.53 86.64 45.97

57.98 49.9 86.73 86.68 76.52 62.25 45.92 57.66 32.37 76.67 46.18

42.7 54.14 79.04 78.07 85.58 62.25 47.29 59.04 44.17 66.36 50

65.25 58.36 58.98 69.94 88.69 66.06 49.27 64.23 47.51 77.93 43.82

184.3 64.77 60.3 78.23 76.62 67.17 50.76 67.64 47.77 60.88 67.24

106.71 38.72 36.58 72.51 82.31 66.99 48.52 80.17 45.12 62.14 64.55

109 48.46 78.09 78.89 82.82 82.06 48.38 69.69 34.24 70.34 62.08

115 51.28 103.03 72.69 82.04 72.99 49.17 108.87 61.14 70.86 59.78

36.74 38.4 26.36 50.16 20.12 24.83

37.22 36.35 25.92 49.11 74.89 14.32

42.59 37.25 27.74 40.97 17.8 35.33

33.85 40.3 37.23 53.07 33.89 60.53

42.86 38.25 32.61 50.22 31.62 63.26

51.64 44.68 43.51 63.49 49.94 66.44

57.67 41.32 30.93 79.37 115.5 53.91

61.48 41.23 33.38 86.24 102.61 43.46

68.36 40.84 40.97 85.71 97.7 48.14

79.26

76.12

80.71

86.01

94.2

87.97

103.54

92.16

92.63

Team #23403
e Baotou Wuhai Chifeng 6.lianning Shenyang Dalian Anshan Fushun Benxi Dandong Jinzhou Yingkou Fuxin Liaoyang Jingpan Tieling Chaoyang Huludao 7.jilin Changchu n Jilin Siping Liaoyuan Tonghua Baishan Baicheng Fuyu Songyuan 8.heilongj iang Haerbin Qiqihaer Jixi Hegang Shuangya shan Daqing Yichun Jiamusi Qiyaihe Mudanjia ng 53.03 58.98 33.88 20.98 19.98 58.91 35.34 26.43 50 57.75 55.28 61.09 35.6 22.24 18.19 71.02 32.42 28.51 46.56 64.56 58.09 69.54 36.54 23.34 18.78 73.36 28.7 28.7 33.07 64.61 52.21 65.65 38.32 23.49 19.07 71.49 29.52 27.42 40.85 64.62 62.97 72.76 34.28 24.25 25.47 72.93 31.39 26.67 31.32 65.57 56.49 52.37 34.85 23.88 31.78 73.25 37.35 29.98 40.95 70.31 62.9 62.71 43.93 26.76 29.77 76.75 35 26.84 47.76 70.3 56.73 105.84 29.28 16.71 27.61 50.13 48.38 9.68 63.38 37.6 28.75 16.21 35.12 51.96 44.65 13.26 4.23 8.94 6.41 5.24 34.8 68.23 36.27 27.04 5.36 47.13 47.03 33.13 72.63 34.94 20.4 5.2 38.11 44.29 53.74 76.78 40.7 15.87 6.33 38.1 34.39 30.8 76.24 30.71 23.58 12.13 37.85 37.6 30.77 85.05 44.79 23.6 27.95 19.13 47.45 60.71 78.11 40.17 49.13 43.73 61.04 51.48 66.12 56.72 36.81 61.52 43.7 63.32 85.48 34.99 70.77 39.91 54.52 43.65 65.72 54.29 70.69 41.86 36.78 59.54 45.8 63.64 76.4 35.03 78.88 45.75 55.71 44.91 59.47 59.34 71.11 25.79 38.35 68.8 43.75 65.96 101.02 35.27 85.45 38.06 55.23 43 79.97 60.42 84.03 26.42 38.57 76.66 45.3 66.13 100 36.02 89.35 41.53 58.3 46.82 76.52 67.57 86.8 25.97 41.74 78.57 39.98 72.17 54.57 40.57 92.03 45.75 90.4 48.4 78.44 67.23 80.4 62.63 42.44 79.2 68.92 74.1 56.93 70.64 97.92 50.68 60.21 46.39 57.69 64.88 84.19 52.02 43.48 79.93 74.1 77.01 59.7 75.94 31.2 49.38 48.1 33.85 52.56 57.86 34.69 54.12 177.24 33.42 72.28 49.21 32.31 64.58 75.74 31.9 92.9 62.37 36.94 88.63 73.04

Page

46

of 54

38.13 89.32 69.52

38.69 89.31 64.34

94.57 56.3 59.89 44.17 79.54 61.32 87.24 43.61 36.15 81.39 88.4 69.3 55.81 53.25

92.78 66.67 63.22 46.69 86.3 66.03 87.57 48.98 31.5 74.92 85.22 73.78 43.99 61.45

94.53 48.08 43.48 28.35 17.81 37 54.33

87.96 47.97 42.38 15.84 19.24 36.74 54.54

34.88

58.94

68.18 68.31 43.93 36.29 27.9 77.69 37.45 29.53 48.87 72.27

66.49 73.3 38.8 36.33 33.67 77.12 36.42 30.62 75.86 71.56

Team #23403
Heihe 9.shangha i 10.jiangsu Nanjing Wuxi Xuzhou Changzho u Jiangsu Nantong Lianyung ang Huaiyin Yancheng Yangzhou Zhenjiang Taizhou Suqian 11.zhejian g Hangzhou Ningbo Wenzhou Jiaxing Huzhou Shaoxing Jinhua Quzhou Jiaojiang Zhoushan Huangyan Taizhou 12.anhui Hefei Wuhu Bengbu Huainan Maanshan Hauibei Tongyi Anqign Huangsha n 56.59 56.17 49.37 89.9 88.46 66.18 59.39 106.69 83.13 68.23 52.6 49.49 94.74 70.45 56.69 60.64 112.52 53.55 67.33 56.55 53.62 96.23 83.82 52.57 61.76 87.54 65.64 74.85 65.66 55.14 90.25 94.23 49.26 69.55 87.4 59.2 75.26 66.43 143.2 86.15 99.79 45.08 102.66 89.59 66.95 83.13 132.87 67.08 77.38 100 50.15 111.12 187.34 83.71 102.76 85.19 66.09 78.41 102.31 46.9 111.43 86.4 89.51 109.6 71.87 39.9 67.03 57.76 68.46 84.89 98.84 28.06 78.18 35.03 109.7 76.16 45.27 68.6 62.89 65.11 88.71 101.06 29.06 48.6 32.09 111.87 82.13 42.57 61.59 72.59 70 90.42 108.93 24.85 48.89 29.25 117.07 72.22 48.45 76.77 76.88 75.05 97.08 106.75 22.05 44.86 25.93 25.75 26.65 25.2 45.89 41.16 26.7 120.5 67.5 42.6 110.64 75.53 87.04 95.82 101.34 132.97 80.19 49.56 82.09 78.15 98.09 97.41 92.65 133.25 88.93 112.56 72.25 79.36 102.68 108.58 113.56 88.7 63.98 49.92 53.78 94.1 50 58.47 58.27 35.57 78.71 76.18 56.08 69.42 89.12 54.85 51.08 55.07 117.28 53.99 58.59 71.89 44.33 74.8 80.37 61.46 40.47 94.09 62.43 55.59 60.02 106.28 56.57 54.82 89.11 44.84 69.92 80.6 67.59 42.75 107.13 77.5 63.82 54.93 103.67 53.47 55.87 56.19 51.02 63.3 77.58 74.22 43.05 123.39 80.85 82.94 59.83 123.86 53.71 57.52 54.1 66.76 62 87.65 69.19 36.33 128.61 84.17 72.27 59.87 125.04 51.39 76.51 54.18 63.51 67.79 98.58 67.37 37.27 203.71 95.62 77.24 85.78 110.01 56.88 80.13 71.15 75.18 62.98 102.92 76.79 29.81 11.77 81.93 12.32 194.82 17.08 85.24 18.42 87.3 13.79 98.95 23.66 80.13 15.2 104.59

Page

47 39.86

of 54
18.57 101.03

108.97

190.31 81.99 75.75 87.51 99.45 60.87 70 54.74 78.56 68.39 81.24 69.71 57.93

192.39 79.99 71.86 85.01 99.37 65.73 69.89 52.81 90.15 73.02 80.18 72.19 57.85

118.99 134.31 65.8 70.91 82.88 94.7 120.79 84.03

108.04 94 61.93 76.44 82.86 94.75 118.04 82.34

29.09

34.29

26.14

29.94

103.59 76.02 69.79 94.7 105.72 54.68 124.09 99.35 87.21

103.8 70.17 74.52 94.72 105.98 46.04 140.54 107.42 88.43

Team #23403
Fuyang Chuzhou 13.fujian Fuzhou Xiamen Putian Sanming Quanzhou Zhangzho u Nanping Longyan 14.jiangxi Nanchnag Jingdezhe n Pingxiang Jiujiang Xinyu Yingtan 15.shando ng Jinan Qingdao Zibo Zaozhuan g Dongying Yantai Weifnag Jining Taian Dezhou Weihai Linyi Laiwu rizhao 16.henan Zhengzho u Kaifeng Luoyang Pingdings han 60.12 68.54 93.67 74.44 56.37 84.75 101.83 72.13 58.47 67.41 102.47 58.41 60.1 47.23 95.2 59.65 69.43 51.39 89.38 68.33 77.13 50.99 86.04 69.6 80.13 76.16 88.08 77.54 54.36 31.42 42.26 45.71 78.51 35.73 36.17 62.06 60.59 51.63 42.61 30.65 55.61 43.85 55.94 36.72 43.46 46.35 79.69 44.56 40.41 66.33 64.31 58.18 52.34 28.93 54.67 45.93 59.54 43.4 47.01 46.59 101.03 46.59 39.48 67.92 52.4 61.18 48.26 31.07 53.24 44.72 62.67 42.73 43.39 47.62 95.74 51.3 35.73 68.87 58.07 64.33 54.41 39.15 43.33 52.06 61.08 41.38 47.87 53.54 87.71 43.1 37.19 63.94 58.61 50.69 66.29 50.88 50.09 52.07 60.1 48.53 35.08 45.08 63.2 37.86 46.04 77.63 58.75 53.16 60.12 39.22 48.73 47.26 57.69 52.25 41.84 43.1 64.43 48.47 50.05 81.5 46.67 60.28 61.8 54.74 66.33 51.76 72.39 73.79 43.16 76.58 66.62 100.22 87.2 70.44 41.11 76.97 85.5 83.79 81.22 40.39 79.44 97.61 75 77.28 76.8 40.79 74.37 85.72 110.16 91.17 85.25 57.01 76.32 87.62 127.29 89 81.82 57.02 75.3 93.23 64.42 95.36 65.25 65.17 93.11 96.12 47.84 94.63 65.78 43.55 98.68 37.49 45.62 96.72 94.81 101.72 75.05 37.58 106.06 48.65 49 102.97 132.07 104.63 91.52 40.19 100.42 50.31 44.59 115.3 93.42 114.69 71.79 47.8 101.46 53 45.03 95.55 85.17 119.74 54.72 45.7 103.37 40.96 98.68 115.15 94.41 118.51 100.93 65.37 104.02 64.57 102.45 128.57 97.81 122.25 103.11 52.59 105.14 72.2 64.24 53.13 77.98 57.67 76.31 59.95 87.53 114.07 89.6 110.19 88.01 87.61 71.33 91.25 45.5 91.24 42.54

Page

48 96.79 67.62

of 54
97.19 66.23

124.71 94.18 39.38 105.87 64.03 58.85 107.12 74.65

128.27 101.68 40.18 106.32 88.59 65.76 104.68 79.65

92.44 65.25 68.17 85.44 86.81 50.78

98.49 68.39 79.74 86.15 86.55 50.83

60.82 57.6 46.94 44.83 65.05 46.71 51.85 75.97 51.91 61.14 66.08 54.04 68.99 56.61

64.09 56.2 46.05 46.23 63.05 50.07 53.07 80.05 66.43 55.78 64.59 43.18 67.8 62.32

84.85 49 89.4 81.21

86.99 45.65 79.26 57.94

Team #23403
Anshan Hebi Xinxiang Jiaozuo Puyang Xuchang Tahe Sanmenxi a Shangqiu Nanyang 17.hubei Wuhan Huangshi Shiyan Jingzhou Yichang Xiangfan Ezhou Jingmen Xiaogan Huanggan g 18.hunan Changsha Zhuzhou Xiangtan Hengyang Shaoyang Yueyang Yiyang Changde Chenzhou Yongzhou Lengshuit an Huaihua Zhangjiaji e 19guangd ong Guanzhou Shaoguan Shenzhen 173.53 121.52 59.31 179.31 109.43 50.08 175.93 109.86 59.66 202.44 88.89 80.01 216.58 89.91 88.64 221.33 93.91 89.44 223.31 95.02 88.96 99.72 96.59 133.87 93.65 84.97 63.63 69 87.47 97.44 89.43 106.34 145.27 66.88 72.42 79.02 101.83 89.62 105.12 98.61 77.46 104.87 94.61 134.63 100.94 85.16 110.97 113.29 82.71 100.65 82.07 63.88 40.91 98.65 122.74 90.26 84.48 100.57 74.33 112.48 133.06 91.81 108.79 101.34 70.81 93.83 93.2 130.36 91.63 107.59 100.37 73.36 117.85 139.52 117.76 104.88 100.71 76.45 94.19 88.87 135.34 91.74 160.8 99.07 86.59 107.56 69.09 136.3 72.15 132.6 162.76 207.29 136.25 87.74 102.45 73.36 98.43 158.65 93.52 133.22 126.87 145.89 102.38 97.66 85.38 68.93 107.71 181.13 94.24 116.16 115.61 82.74 78.35 144.22 114.13 112.42 85.94 76.37 6 99.87 153.19 85.08 126.1 169.61 113.96 112.91 99.81 69.94 135.77 90.67 77.11 132.45 130.53 152.96 85.31 108.61 170.09 153.26 112.74 157.27 100 133 143.94 145.34 55.32 105.19 75.56 119.15 116.3 158.54 107.94 78.96 140.07 145.46 111.31 133.38 147.28 99.84 116.96 130.75 129.26 65.11 145.39 145.95 111.34 124.37 51.96 102.83 122.31 137.25 133.08 63.74 138.61 137.82 111.32 100.58 57.68 64 101.88 42.09 55.11 65.85 51.16 51.5 40.98 75.64 60.93 90.08 85.76 43.31 47.01 65.75 62.56 53.71 71.53 58.67 64.83 69.19 71.9 53.5 43.98 56.7 77.65 54.02 65.47 56.23 72.76 63.39 68.59 49.85 37.85 71.25 67.98 48.42 70.9 41.15 72.72 65.15 72.3 53.47 39.64 58.9 77.42 49.21 66.72 34.08 55.08 69.43 68.78 48.6 48.79 59.55 96.09 49.58 65.12 50.57 48.04 64.67 69.86 51.55 53.57 64.11 100.18 47.09 73.66 64.2 83.03 64.52

Page

49 68.17 55.43 37.88 48.47 88.44 54.04 67.8 68.18 70 63.72

of 54
84.82 52.7 34.83 47.47 69.84 53.4 71.72 68.4 74.51 59.08

112.93 143.93 123.18 78.9 128.49 126.88 111.52 101.87 71.26 64

115.35 137.93 122.56 65.3 110.92 110.94 111.71 102.43 60.89 63.65

133.05 120.39 153.99 189.89 88.25 98.93 46.01 105.46 163.2 112.62

121.8 112.98 165.11 191.61 84.87 95.39 41.54 104.63 138.26 128.5

167 78.25

110.91 79.56

203.91 108.4 152.03

205.76 107.39 179.95

Team #23403
Zhuhai Shantou Foshan Jiangmen Zhanjiang Maoming Huizhou Zhaoqing Chaozhou Meizhou Zhngshan Dongguag Shanwei Heyuan Yangjiang Qingyuan Jieyang Yunfu 20.guangx i Nanning Liuzhou Guilin Wuzhou Beihai Yulin Qinzhou Guigang Fangchen ggang 21.hainan Haikou Sanya 22.chongq ing1 Chongqin g2 Wanxian Fuling 23.sichua n Chengdu Zigong Panzhihua 80.52 45.29 113.08 78.58 43.45 116.36 85.03 44.21 106.5 91.92 43.31 115.57 99.51 36.62 116.04 96.91 43.34 113.55 98.65 40.4 112.34 45.64 35.35 40 47.35 46.07 103.89 50.6 48.86 101.41 70.52 30.51 104.81 69.02 32.23 78.36 62.47 24.31 77.61 64.23 28.94 51.05 164.65 92.76 167.54 39.67 198.22 107 172.9 121.74 140.48 104.14 119.97 115.92 125.13 140.14 111.06 97.96 142.18 117 56.99 98.52 84.19 90.26 146.28 123.88 98.3 147.02 90 82.34 98.63 96.24 138.37 73.9 79.97 107.89 93.15 44.68 81.65 54.2 150.59 127.33 137.06 112.04 114.19 77.74 101.87 76.84 126.2 154.11 113.4 160.6 114.33 112.06 55.38 102.81 72.69 90 157.71 130.73 147.64 118.8 76.15 57.04 60.28 61.85 30.83 159.88 137.08 130.73 117.81 58.46 65.8 58.9 67.01 59.01 248 62.05 187.87 49.66 77.86 118.06 55.56 98.47 32.34 39.41 53.17 40.91 18.82 31.86 23.13 39.33 261.25 63.92 224.16 50.91 99.43 133.29 66.87 100.23 44.47 45.1 66.49 61.71 53.24 45.9 24.73 43.67 254.55 71.77 257.31 54 95.64 125.66 83.2 105.17 46.82 80 78.99 99.23 48.46 56 42 49.23 51.43 270 229.41 87.84 242.8 62.74 100 114.49 91.32 112.59 52.76 80 231.5 111.88 73.62 54.57 54.36 49.79 37.97 182.26 117.48 100.95 222.03 66.02 102.48 113.47 91.83 131.03 47.41 82.29 264.24 111.73 66.67 45.29 53.8 55.13 45.37 178.57 126.84 103.77 242.06 57.96 103.12 115.47 80.64 111.59 42.31 82.11 278.6 145.92 80.48 53.89 44.13 54.52 46.6 150.71 133.74 102.21 244.33 62.3 97.8 105.98 70.15 106.03 54.55 90.4 217.27 126.54 77.25 49.72 43.76 35.38 50.64 56.91

Page

50

of 54
224.94 100.63 266.87 126.53 90.14 91.72 80.78 104.4 55.93 79.53 160.89 165.25 73.45 47.17 45.63 38.34 61.82 45.02

217.12 107.01 215.31 116 115.32 98.03 113.22 101.88 51.74 78.77 167.91 163.65 52.04 47.32 55.53 36.65 50.71 42.77

143.22 135.23 135.96 111.98 54.21 97.67 47.7 64.37 60.15

149.92 136.73 126.47 118.87 49.41 84.58 72.44 62.49 95.23

116.83 190.58 71.44

114.27 186.7 68.22

98.25 46.84 108.56

98.68 43.75 102.17

Team #23403
Luzhou Deyang Mianyang Guangyua n Suining Neijiang Leshan Yibing Nanchong 24.guizho u Guiyang Liupanshu i Zunyi 25.yunnan Kunming dongchua n Yuxi Qujing 26.tibetan Lasa 27.shanxi Xi’an Tongchua n Baoji Xianyang Yanan Hanzhong Weinan 28.gansu Lanzhou Xiagugua n Jinchang Baiyin Tianshui 29.qingha i Xining 30.ningxi 50.63 50.8 51.68 59.89 59.52 65.23 72.11 59.47 32.1 69.06 55.82 27.65 57.03 43.11 217.93 58.6 83.96 48.76 40 66.16 65.3 49.39 90.27 48.25 76.38 64.68 70.13 65.36 62.5 87.65 66.36 43.99 62.14 78.06 85.54 83.69 36.76 60.92 79.92 84.02 82.76 29.88 45.85 32.69 87.41 73.34 33.53 82.58 53.15 73.21 27.19 56.57 79.65 38.16 70.67 54.11 46.28 28.02 65 70.79 40.64 92.54 53.27 47.91 30.31 64.77 66.49 45.98 116.84 51.09 48.78 29.88 51.58 73.95 32.41 94.96 44.85 50.47 30.25 55.1 101.63 40.25 88.19 48.46 87.41 26.34 55.07 110.81 47.24 69.36 49.64 39.18 120 43.89 36.26 45.58 120 70.86 40.92 43.47 106.9 66.5 44.22 48.78 110.84 57.77 42.67 38.99 111.76 52.47 44.41 65.11 57.7 71.67 40.79 46.59 57.09 79.25 53.49 61.32 19.72 47.82 69.12 21.05 51.84 66.44 21.05 54.53 65.04 22.41 56.77 64.87 21.85 56.77 69.31 50.46 52.58 69.69 19.1 50.84 47.44 61.33 57.65 45.79 49.47 51.16 71.93 31.81 42.99 54.19 57.58 56.35 46.15 50.63 44.17 68.24 49.79 50.93 51.39 58.64 55.95 45.25 59.37 44.42 68.71 51.55 53.13 71.02 147.24 55.35 51.14 65.58 44.17 73.82 53.03 60.78 101.09 58.41 56.38 51.15 70.96 46.6 70.69 56.82 37.1 87.9 44.79 60.87 8.97 60.13 71.85 53.66 61.8 53.32 74.83 46.37 63.14 80.5 59.42 60.33 65.64 68.98 88.59

Page

51 75.71 53.31 67.15 61.63 66.56 57.63 48.13 67.43 88.52

of 54
73.83 53.98 68.47 60.03 53.71 60.65 69.04 69.07 77.91

115.65 31.91 55.18

47.06 28.49 53.33

52.3 46.88

53.14 44.65 81.87

54.32

62.53

84.26 26.2 53.3 118.39 61.52 71.27 59.7

85.47 27.65 47.03 65.83 60 80.51 59.7

62.24 232.01 84.02 83.49 33.63

59.34 233.41 84.8 60.51 34.04

89.06

101.35

Team #23403
a Yinchuan Shizuisha n 31.Xing jiang Wulumuq i Kelamayi avarage 50.2 70.59 64.92271 1111 63.02 70.97 69.653 049327 66.56 71.31 70.370 752212 69.1 71.32 73.922 412281 59.05 58.24 74.988 017621 55.01 103.21 76.785 57.62 68.36 49 93.78 52.53 52.84 52.68 54.31 75.71 72.36 80.84 64.76 66.19 50.48 66.06 77.29

Page

52

of 54

74.83 79.02

75.91 86.1

56.09 54.85 79.779 237668

50.5 53.16 79.627 857143

76.7686283 19

表格 2 sheet 2 1 Beijing Tianjin Hebei Shanxi Neimengg u Liaoning Jilin Heilongjia ng Shanghai Jiangsu Zhejiang Anhui Fujian Jiangxi Shandong Taiwan Henan Hubei Hunan Guangdon g Guangxi Hainan’ Sichuan Chongqin 3 3.1 3.2 3 3 7.2 3.5 3.7 44 30.9 62.2 31.8 49.8 58.3 6.3 86.5 8.6 34.9 59.1 36.9 38 23.6 5.9 20.7 2 7.4 6 7.8 6 6.4 8 4.6 4.9 62.6 50.1 88.7 49.8 76.3 95.1 10.3 100.4 12.5 59.1 87.8 54.5 36.4 30.4 10.9 20.4 3 8.6 6.4 11.4 10.3 10.3 12.7 9.1 11.3 78.1 72.7 114.1 75.6 120 163.9 15.6 139.4 26.8 103.3 139.8 80.7 54.4 52 21.4 34.9 4 19.4 21 25.7 23.8 18 39.9 21.9 23.8 106.7 93.7 130.4 102 149.7 225.5 33.6 118.7 53.7 140 201.6 175 89.9 92.8 50.7 105.7 5 33.1 30.6 33.1 30.1 26.8 56.3 42.3 37.5 122.9 100.2 179.9 101.8 207.5 301.9 37.7 201.6 42.9 161.9 230.8 293.8 186.8 187.6 88.6 160 6 77.8 69.3 49.3 52.6 45.7 88.5 90.7 77.9 158.9 167.4 196.2 117.8 230.2 291.1 78.6 283.3 68 209.5 188.9 287.8 232 241.2 111.3 160.7 7 192.5 189.8 139 118.3 102.1 196 183.5 160.7 134.2 183.6 126.5 174.1 112 125.9 217.2 167.3 154.4 156.2 112.5 212.7 195.1 206.7 235.5 176.7 8 212.3 162.4 168.5 103.6 126.4 168.5 127.5 97.1 126 111.3 136.5 119.9 160.5 103.2 152.4 250.7 119.3 119.4 116.9 232.5 215.5 239.5 234.1 137.7 9 57 43.4 58.9 64.3 45.9 82.1 61.4 66.2 150.5 95.9 177.6 86.5 131.4 75.8 63.1 275.4 71 76.2 62.7 189.3 118.9 302.8 118 148.5 10 24 24.9 31.7 30.8 24.4 44.8 33.5 27.6 50.1 46.1 77.9 51.6 41.5 55.4 38 107.4 43.8 62.9 81.4 69.2 69 174.4 46.4 96.1 11 6.6 9.3 17 13.2 7.1 19.8 11.5 6.8 48.8 48 54.7 48 33.1 53 23.8 70.8 30.5 50.5 63 37 37.8 97.6 18.4 50.6 12 2.6 3.6 4.5 3.4 1.3 10.6 4.4 5.8 40.9 29.4 54 29.7 31.6 47.2 8.6 68.2 9.5 30.7 51.5 24.7 26.9 38 5.8 26.6

Team #23403
g Guizhou Yunnan Tibetan Shanxi Gansu Qinghai Ningxia Xingjiang 19.2 11.6 0.2 7.6 1.4 1 1.1 8.7 20.4 11.2 0.5 10.6 2.4 1.8 2 10.6 33.5 15.2 1.5 24.6 8.3 4.6 6..0 21.3 109.9 21.2 5.4 52 17.4 20.2 12.4 34.1 194.3 93 25.4 63.2 36.2 44.8 14.8 35.1 224 183.7 77.1 52.2 32.5 49.1 19.9 39.3 167.9 212.3 129.5 99.4 63.8 80.7 43.6 21.5 137.8 202.2 138.7 71.7 85.3 81.6 55.9 23.6 93.8 119.5 56.3 98.3 49.1 55.1 27.3 25.8

Page

53

of 54

96.6 85 7.9 62.4 24.7 24.9 14 24.4

53.5 38.6 1.6 31.5 5.4 3.4 5 18.6

23.8 13 0.5 6.7 1.3 0.9 0.7 14.6

Table 2 longitude and latitude City Beijing Tianjin Shanghai Chongqin Lasa Wulumuqi Yinchuan Huhehaote Nannin Haerbin Changchun Shenyang Shijiazhuang Taiyuan Xining Jinan Zhengzhou Nanjing Hefei Hangzhou Fuzhou Nanchang Changsha Wuhan Guangzhou Lanzhou Xi'an Chengdu east longitude 116.46 117.2 121.48 106.54 91.11 87.68 106.27 111.65 108.33 126.63 125.35 123.38 114.48 112.53 101.74 117 113.65 118.78 117.27 120.19 119.3 115.89 113 114.31 113.23 103.73 108.95 104.06 north latitude 39.92 39.13 31.22 29.59 29.97 43.77 38.47 40.82 22.84 45.75 43.88 41.8 38.03 37.87 36.56 36.65 34.76 32.04 31.86 30.26 26.08 28.68 28.21 30.52 23.16 36.03 34.27 30.67 distance(km) to 0° to 0° longitude(x) latitude(y) 9932 4439 10109 4351 11552 3472 10302 3290 8776 3333 7040 4867 9252 4278 9395 4539 11101 2540 9825 5087 10047 4879 10227 4648 10027 4229 9878 4211 9087 4065 10438 4075 10382 3865 11196 3563 11075 3543 11544 3365 11915 2900 11305 3189 11073 3137 10950 3394 11576 2575 9328 4006 10012 3811 9952 3410

Team #23403 Guiyang Kunming Xianggang Aomen 106.71 102.73 114.1 113.33 26.57 25.04 22.2 22.13 10612 10349 11747 11673

Page

54

of 54

2954 2784 2469 2461


赞助商链接

2013年美赛B题

2013美赛B题 - Water, Water, Everywhere Summary Water is extremely important subsistence, while clos...

2014美赛b题 分析

your analysis, i.e., does coaching in 1913 differ from coaching in2013?...2014美赛B题论文 19页 2下载券 2014美赛模拟题B 暂无评价 1页 免费 2014...

美赛历年题目2005—2013

美赛历年题目2005—2013 - MCM 2013 A 题:最佳巧克力蛋糕烤盘 当你使用一个矩形的烤盘烘烤食物时, 热量会集中在烤盘的四个角落, 于是角落处的食 物就会被烤...

2005年美赛B题

2005年美赛B题_数学_自然科学_专业资料。MCM2005B.Tollbooths 收费亭 Heavily-traveled toll roads such as the Garden State Parkway, Interstate 95, MCM2005B...

2015美赛B题O奖论文_32879 - 副本.pdf

2015美赛B题O奖论文_32879 - 副本.pdf_理学_高等教育_教育专区。2015 Mathematical Contest in Modeling (MCM) Summary Sheet Into the Void: A Probabalistic ...

2013美赛B题灰色预测遗传算法神经网络组合预测

2013美赛数学建模B题论文 17页 免费 灰色神经网络预测模型的优... 72页 1财富...2013美赛B题灰色预测遗传算法神经网络组合预测2013美赛B题灰色预测遗传算法神经网...

2012年美国大学生数学建模竞赛B题特等奖文章翻译

2012 年美赛 B 题 题目翻译:到 Big Long River(225 英里)游玩的游客可以享受那里的风景和振奋人心的急 流。远足者没法到达这条河,唯一去的办法是漂流过去。这...

2016年美赛B题翻译

2014年美赛B题翻译 1页 免费 2014美赛翻译B题 暂无评价 1页 1下载券 2014美赛B题及翻译 暂无评价 1页 2下载券 2013美赛MCM B题中英文翻... 1页 ...