Adjustable Robust Optimization for Multi-Period Water Allocation in Droughts Under Uncertainty

Yuhong Shuai and Liming Yao ()
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Yuhong Shuai: Sichuan University
Liming Yao: Sichuan University

Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), 2021, vol. 35, issue 12, No 9, 4043-4065

Abstract: Abstract Optimal 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 develops a robust water withdrawal scheme for drought regions that can balance the trade-offs between the sub-areas and water use participants, ensure sustainable regional system development, and guarantee 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. A case study from Neijiang, China, is given to illustrate the applicability and feasibility of this framework. The novelty of this study is to propose a sustainable bi-level AARC regional water allocation framework which integrates intra- and inter-generational equity of regional water use and priority rules reflected by goal preference programming between water departments under uncertainties of WA and WD simultaneously in water deficient regions.

Keywords: Bi-level multi-period water allocation; Affinely adjustable robust optimization; Drought area; Deep uncertainty (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11269-021-02929-w

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