scholarly journals Adjustable Robust Optimization for Multi-Period Water Allocation in Droughts under Uncertainty

Author(s):  
Yuhong Shuai ◽  
Liming Yao

Abstract Optimal, rational water resource allocation can go some way to overcoming water deficiencies; however, its achievement is complex due to conflicting hierarchies and uncertainties, such as water availability (WA) and water demand (WD). This study developed a robust water withdrawal scheme for arid and semi-arid regions that balanced the trade-offs between the sub-areas and water use participants, ensured sustainable regional system development, and guaranteed robust solutions for future uncertainties. A bi-level affinely adjustable robust counterpart (AARC) programming framework was developed, in which the regional authority as the leader allocates water to the sub-areas to maximize the intra- and intergenerational equity, and the sub-areas as the followers allocate water to their respective water departments to maximize their economic benefits and minimize water shortages. This method used affine functions between the decision variables (water allocation amount) and the uncertain parameters (WA, WD) to deal with the computationally intractable (NP-hard) robust counterpart for the multi-period water resources management. To illustrate the applicability and feasibility of this framework, a case study from Neijiang, China, is given. This model can assist regional authorities develop more robust water resource allocation solutions for multi-period planning responses to uncertain water deficiencies.

Water ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 1588
Author(s):  
Hui Zhang ◽  
Jiaying Li

Under the current administrative system (AS) in China, the water resources governor allocates limited water resources to several users to realize the utility of water resources, leading to a principal–agent problem. The governor (referred to as the principal and she) wishes to maximize water resource allocation efficiency, while each user (referred to as the agent and he) only wishes to maximize his own quota. In addition, the governor cannot know water demand information exactly since it is the water users’ private information. Hence, this paper builds an ex ante improved bankruptcy allocation rule and an ex post verification and reward mechanism to improve water allocation efficiency from the governor’s perspective. In this mechanism, the governor allocates water among users based on an improved bankruptcy rule before the water is used up, verifies users’ information by various approaches, and poses a negative reward to them if their information is found to be false after the water is used up. Then, this mechanism is applied to Huangbai River Basin. Research results show that the improved allocation rule could motivate users to report demand information more honestly, and ex post verification could motivate water users to further report their true information, which, as a result, could improve the water allocation efficiency. Furthermore, this mechanism could be applied to the allocation of other resources.


2014 ◽  
Vol 133 ◽  
pp. 343-354 ◽  
Author(s):  
Laura Read ◽  
Kaveh Madani ◽  
Bahareh Inanloo

Water ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 1580 ◽  
Author(s):  
Shanghong Zhang ◽  
Jiasheng Yang ◽  
Zhongyu Wan ◽  
Yujun Yi

Water shortage problems are increasing in many water-deficient areas. Most of the current research on multi-source combined water supplies depends on an overall generalization of regional water supply systems, which are seldom broken down into the detail required to address specific research objectives. This paper proposes the concept of a water treatment and distribution station (water station), and generalizes the water supply system into three modules: water supply source, water station, and water user. Based on a topological diagram of the water network (supply source–station–user), a refined water resource allocation model was established. The model results can display, in detail, the water supply source, water supply quantity, water distribution engineering, and other information of all users in each water distribution area. This makes it possible to carry out a detailed analysis of the supply and demand of users, and to provide suggestions and theoretical guidance for regional water distribution implementation. Tianjin’s water resource allocation was selected as a case study, and a water resource allocation scheme for a multi-source, combined water supply, was simulated and discussed.


2019 ◽  
Vol 20 (2) ◽  
pp. 550-564
Author(s):  
Shuo Ouyang ◽  
Hui Qin ◽  
Jun Shao ◽  
Jiantao Lu ◽  
Jianping Bing ◽  
...  

Abstract Inter-basin water diversion reallocates water resources by changing their spatio-temporal distribution characteristics between basins. This can effectively relieve water supply and demand conflicts in regions with water resource reserves shortages. However, building inter-basin water diversion projects obviously reduces the inflow from upstream, leading to increasingly conspicuous conflicts between water diversion outside a basin and water utilization inside the basin. To relieve this conflict and explore the optimal scheme of water resource allocation across river basins, this paper chooses the Middle Route Project of the South-to-North Water Diversion Project on the Hanjiang River as a case study. A water supply scheduling model of Danjiangkou Reservoir is built using an integrated inter-basin diversion draw water reservoir regulation (IDR) model to balance multiple conflicting water demands. In the IDR model there are two types of objective sets: aggregate indicators and process matching degree functions. Moreover, six evaluation indexes are selected to analyze the water resource allocation effect of the optimal scheme. The simulation results indicate that the proposed IDR model in this paper is practicable and efficient for water resource allocation across river basins.


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