Department of Water Science Engineering, Bu-Ali Sina University, Hamedan, Iran.
Industrial Engineering Department, Bu-Ali Sina University, Hamedan, Iran.
Environ Sci Pollut Res Int. 2018 Jan;25(3):2726-2737. doi: 10.1007/s11356-017-0527-8. Epub 2017 Nov 14.
In this study, a new methodology is proposed to balance environmental and economic issues in water allocation under uncertainty. Two objective functions, including maximizing economic income (EI) and minimizing environmental pollution (EP), were considered as two groups of players to construct a deterministic multi-objective bargaining methodology (DMOBM). In the next step, it is enhanced to a robust multi-objective bargaining methodology (RMOBM), which is capable of incorporating the main uncertainties exist in the problem. A large-scale inter-basin water transfer case study was utilized to investigate the applicability of the developed model. The outputs of the models showed that Nash equilibrium provide a rather narrow range of solutions. According to the results, the required rounds to reach Nash equilibrium raised as the uncertainty level increased. In addition, higher levels of uncertainty lead to higher reduction in water allocating of receiving basin. Sensitivity analysis showed that economic income values are less sensitive to changes of uncertain parameters than the environmental objective function. The developed methodology could provide a framework to incorporate the behavior of different stakeholders. Furthermore, the proposed method can be reliable under the condition of facing water allocation uncertainties.
本研究提出了一种新的方法，以平衡不确定性下水资源分配中的环境和经济问题。两个目标函数，包括最大化经济收入（EI）和最小化环境污染（EP），被视为两组参与者，以构建确定性多目标讨价还价方法（DMOBM）。在下一步中，它被增强为鲁棒多目标讨价还价方法（RMOBM），能够包含问题中存在的主要不确定性。利用大规模的跨流域调水案例研究来检验所开发模型的适用性。模型的输出表明，纳什均衡提供了相当狭窄的解决方案范围。根据结果，达到纳什均衡所需的轮数随着不确定性水平的增加而增加。此外，较高的不确定性水平导致接收流域的水资源分配减少。敏感性分析表明，经济收入值对不确定参数变化的敏感性低于环境目标函数。所开发的方法可以为纳入不同利益相关者的行为提供框架。此外，在面临水资源分配不确定性的情况下，所提出的方法可以是可靠的。
