Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games
Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games
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DOI：
10.1007/s11269-009-9552-9
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发表时间：
2010-08
影响因子：
4.3
通讯作者：
M. Sadegh;N. Mahjouri;R. Kerachian
中科院分区：
文献类型：
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作者：
M. Sadegh;N. Mahjouri;R. Kerachian
近年来，可利用水资源的不均衡分布以及不断增加的水需求和水资源的过度开发使得迫切需要将水从具有充足水的流域转移到面临水短缺的流域。因此，在调水工程中，考虑不同利益相关者的效用、系统的物理限制和社会经济标准，优化分配共享水资源是一项重要任务。本文提出了一种基于清晰和模糊Shapley博弈的流域水资源优化配置新方法。在所提出的方法中，初始水分配使用考虑公平标准的优化模型获得。在第二步中，利益相关者形成清晰的联盟，以增加系统的总净效益以及他们自己的利益和清晰的Shapley值游戏是用来重新分配在清晰的联盟中产生的利益。最后，以总净效益最大为目标，建立模糊联盟，并优化了模糊联盟中用户的参与率。在此基础上，运用模糊Shapley值博弈方法，将总净收益合理公平地分配给用水户。该方法的有效性进行检查，将其应用到一个大规模的案例研究，从伊朗南部的Karoon河流域的水转移到伊朗中部的拉夫桑贾平原。
In recent years, uneven distribution of available water resources as well as increasing water demands and overexploiting the water resources have brought severe need for transferring water from basins having sufficient water to basins facing water shortages. Therefore, optimal allocation of shared water resources in water transfer projects, considering the utilities of different stakeholders, physical limitations of the system and socioeconomic criteria is an important task. In this paper, a new methodology based on crisp and fuzzy Shapley games is developed for optimal allocation of inter-basin water resources. In the proposed methodology, initial water allocations are obtained using an optimization model considering an equity criterion. In the second step, the stakeholders form crisp coalitions to increase the total net benefit of the system as well as their own benefits and a crisp Shapley Value game is used to reallocate the benefits produced in the crisp coalitions. Lastly, to provide maximum total net benefit, fuzzy coalitions are constituted and the participation rates of water users to fuzzy coalitions are optimized. Then, the total net benefit is reallocated to water users in a rational and equitable way using Fuzzy Shapley Value game. The effectiveness of this method is examined by applying it to a large scale case study of water transfer from the Karoon river basin in southern Iran to the Rafsanjan plain in central Iran.