scholarly journals Inexact Two-Stage Stochastic Programming for Water Resources Allocation under Considering Demand Uncertainties and Response—A Case Study of Tianjin, China

Water ◽  
2017 ◽  
Vol 9 (6) ◽  
pp. 414 ◽  
Author(s):  
Ling Ji ◽  
Ping Sun ◽  
Qiang Ma ◽  
Na Jiang ◽  
Guo-He Huang ◽  
...  
2013 ◽  
Vol 16 (1) ◽  
pp. 144-164 ◽  
Author(s):  
Y. L. Xie ◽  
G. H. Huang

In order to deal with the risk of low system stability and unbalanced allocation during water resources management under uncertainties, a risk-averse inexact two-stage stochastic programming model is developed for supporting regional water resources management. Methods of interval-parameter programming and conditional value-at-risk model are introduced into a two-stage stochastic programming framework, thus the developed model can tackle uncertainties described in terms of interval values and probability distributions. In addition, the risk-aversion method was incorporated into the objective function of the water allocation model to reflect the preference of decision makers, such that the trade-off between system economy and extreme expected loss under different water inflows could be analyzed. The proposed model was applied to handle a water resources allocation problem. Several scenarios corresponding to different river inflows and risk levels were examined. The results demonstrated that the model could effectively communicate the interval-format and random uncertainties, and risk aversion into optimization process, and generate inexact solutions that contain a spectrum of water resources allocation options. They could be helpful for seeking cost-effective management strategies under uncertainties. Moreover, it could reflect the decision maker's attitude toward risk aversion, and generate potential options for decision analysis in different system-reliability levels.


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.


2019 ◽  
Vol 11 (21) ◽  
pp. 6021 ◽  
Author(s):  
Hui Zhang ◽  
Qiyu Ren ◽  
Jiaying Li

The fact that the water resource governor has to allocate limited water resources to two competing agricultural water users under the administrative system (AS) leads to a principal-agent issue. Hence, this paper constructs a two-stage performance-based allocation mechanism to motivate two competing water users (referred to as the agents) to act in accordance with the interests of the governor (referred to as the principal). This mechanism is about the interaction between the governor and two water users. The governor aims to improve water resources allocation efficiency and balance economic and environmental development, while each agricultural user focuses on the overall amount of water resources they have to operate and would like to ignore environment protection issues. Besides, the total water resources invested into production or environment is two water users’ private information, which is unknown to the governor. In the first stage, the governor allocates water resources between two users according to their previous performances, including production and environmental aspects. Results indicate that the equilibrium state of this mechanism could encourage two water users to focus on production and environment performances simultaneously and to help the governor transfer the pollution cost to two water users under the external of pollution cost, which motivates them to compete for available water resources. This competition between two users will directly affect users’ behaviors. These results could improve water resources allocation efficiency significantly and realize the sustainability of water resources in the agricultural field under the current AS. This perspective could also provide a new insight for the management of agricultural water resources allocation and offer relative decision support to relative governors.


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.


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