2013年美赛B题一等奖论文
Water, Water, Everywhere
Summary
A feasible and cost-efficient water strategy need determining for
Chinese projected water needs in 2025.
Firstly , China was divided into seven zones to focus on the water-
scarce regions. Prediction model was built after adding up the statistical
data, namely performing multivariate regression on regional water
consumption and GDP, water demand, irrigation, then the function about
the three and time was fitted by MATLAB. After obtaining the function of
water consumption and time, the supply-demand balance was
analyzed. It was found that the water-scarce zones are zone B,C,F and G, and the water
shortage in 2025 ,
316.42× 10 m ,229.65× 10 m ,281.85× 10 m .
To solve the water crisis,four models--storage、mobilization、
desalination、and sewage treatment were established. In desalination and sewage treatment model, processing costs and environmental effects were calculated quantitatively. In the storage model, storage capacity of underground reservoirs was acquired by idealizing the aquifer. While in mobilization model, the various diversion routes were linear programmed by means of LINGO, four routes were found to have the lowest cost-- AB、 CD、FD、CE. And sensitivity analysis was done.
The priority of the above measures is assessed by AHP, which showed
the mobilization is optimal, followed by desalination. Then in that order
the measures are combined to make up water. For the Internal water
allocation, freshwater optimal allocation model is built to maximum the
economic benefits. Then The final best water strategy is as follows: For C
zone, CD、CE two routes need building with the total costs 72.78 billion yuan. For F zone, FD with the costs 5.43 billion yuan and 100 desalinators
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