scholarly journals Bilevel Multiobjective Programming Applied to Water Resources Allocation

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Shiqi Fang ◽  
Ping Guo ◽  
Mo Li ◽  
Liudong Zhang

Water allocation is an essential programming to support the sustainable development of Wuwei Basin, Gansu Province, China. To satisfy the demands of the decision makers (DMs) of each subarea and the total area, a bilevel multiobjective linear programming (BLMOLP) model is proposed. In the BLMOLP, DMs have a hierarchy of two levels—the upper level and the lower level DMs. In this paper, a fuzzy goal programming (FGP) approach is applied to solve the BLMOLP. Firstly, the upper level is solved and used as the tolerance for the lower level. Then the weights of each objective function in the lower level are evaluated. Finally, a satisfied optimization solution of the problem was calculated. The result suggests that the FGP is a simple and feasible approach to BLMOLP problems. The proposed method was applied to a case study for water resources allocation in Wuwei Basin. For four scenarios under consideration, the model can effectively balance the benefits among all regions and sections according to the priority of the upper level decision makers. The results indicate that comprehensive solutions have been obtained.

2021 ◽  
Author(s):  
Alborz Mahmoudi ◽  
Ehsan Shirangi

Abstract To choose the best policy of the water resources allocation, considering both the quantitative and qualitative factors based on the possible uncertainties, there has always been a significant problem in the dry lands from perspectives of the decision makers. In this paper, using Game Theory concept, a novel hybrid approach of the Game Theory based fuzzy logic is proposed to reconcile conflicts among stakeholders of dam reservoirs who have their own different strategies and utilities to choose the best policy in order to gain the highest profit regarding the situations they deal with. In the proposed method, after the fuzzification of decision makers’ strategies, a matrix called a “priority matrix” is formed in which a combination of their strategies and priorities is presented as the matrix elements. Based on the concept of Nash equilibrium, an optimized scenario is elected from among the bargaining scenarios constructed via the integrated strategies. This method has the privilege of providing a game space in which a large variety of strategies and priorities of many decision makers can be modeled in a fuzzy space of variables to reach a point of agreement. In this study, the 15-Khordad Dam of Iran is selected as a case study area which faces problems such as salinity, low quality water, and conflicts among stakeholders. The results of the study indicated that the proposed method could be led to an optimized strategy for the water resources allocation.


2012 ◽  
Vol 212-213 ◽  
pp. 113-116
Author(s):  
Chun Xiao ◽  
Dong Guo Shao ◽  
Feng Shun Yang

Aiming at the existing problems in the models of water resources allocation, the concept of friendly allocation of water resources was put forward, and based on the principles of basic water use guarantee, preference of status in quo, fairness and high efficiency, the friendly subfunctions were established and an integrated model of water resources allocation was proposed with maximizing friendly function of water resources allocation. As a case study, the proposed allocation model was applied in Fuhuan River Basin in China, and the results indicated that the model was rational and effective, which provides a new method for water resources allocation in the river basin.


2014 ◽  
Vol 4 (3) ◽  
pp. 623-642
Author(s):  
H. A. Khalifa ◽  
E. E. Ammar

This paper deals with a fuzzy programming approach for treating an interactive two-stage stochastic rough-interval water resource management. The approach has been developed by incorporating an interactive fuzzy resolution method within a rough two-stage stochastic programming framework. The approach can not only tackle dual rough intervals presented as an inexact boundary intervals that exist in the objective function and the left- and right-hand sides of the constraints that are associated with different levels of economic penalties when the promised policy targets are violated. The results indicate that a set of solutions under different feasibility degrees has been generated for planning the water resources allocation. They can help the decision makers to conduct in depth analysis of tradeoffs between economic efficiency and constraint-violation risk, as well as enable them to identify, in an interactive way, a desired compromise between satisfaction degree of the goal and feasibility of the constraints. A management example in terms of rough-intervals water resources allocation has been treated for the sake of applicability of the proposed approach.


2011 ◽  
Vol 243-249 ◽  
pp. 4516-4519 ◽  
Author(s):  
Jing Peng ◽  
Lan Qi ◽  
Ren Chao Wang

This study investigated the characteristics of various water resources in Tianjin, explored the needs for the study of water resources allocation, and identified the current issues of water resources allocation in Tianjin. The water resources allocation framework was established by adopting the cultural algorithm approach. A case study was done for Tianjin by utilizing this framework to evaluate the water resources allocation in 2008. It shows that the integrated approach of water resources allocation can effectively relieve the water shortage pressure of Tianjin, maximize the benefits for the limited water resources. This study provides a theoretical guidance for the water resources allocation in this area.


Water ◽  
2017 ◽  
Vol 9 (7) ◽  
pp. 490 ◽  
Author(s):  
Jianming Zhao ◽  
Mo Li ◽  
Ping Guo ◽  
Chenglong Zhang ◽  
Qian Tan

Agricultural water productivity (AWP), which is associated with multiple factors, is an important index for measuring the effectiveness of agricultural water management. The purpose of this study is to promote AWP through optimally allocating limited agricultural water resources with the coordination of related elements. Firstly, the coordination effects of multiple factors related to AWP are quantified as relative optimum membership degrees based on the fuzzy optimum selecting theory. Secondly, based on the relative optimum membership degrees for various crops, a linear fractional programming model is established to maximize AWP in agricultural water resources allocation. Thirdly, the impacts of the allocation schemes on the development of social-economy and ecological environment are discussed using the multi-dimensional regulation theory. The developed integrated system has advantages in increasing agricultural water productivity through the coordination of multiple factors with aspects of economy, society and resources. Moreover, the system is capable of screening schemes considering harmonious development of resources, economy, society and ecology based on optimization results, providing decision makers with more sustainable schemes for irrigation water allocation. The integrated system including the aforementioned three parts is applied to a real-world case study in China to demonstrate its feasibility and applicability. Different water allocation schemes for various crops under different scenarios were obtained. The average value of AWP is 1.85 kg/m3, which is 0.31 kg/m3 higher than the current value of AWP. An optimum scheme with 1.1405 × 108 m3 of water being allocated was also selected due to its highest level of coordination for resources, economy, society and ecology. The developed system can provide an effective method for AWP promotion. The obtained results can help local decision makers adjust water resources allocation schemes.


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