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Bi-Level Optimization for Determining Operating Strategies for Inter-Basin Water Transfer-Supply Reservoirs

Author

Listed:
  • Xueping Zhu

    (Taiyuan University of Technology)

  • Chi Zhang

    (Dalian University of Technology)

  • Guangtao Fu

    (University of Exeter)

  • Yu Li

    (Dalian University of Technology)

  • Wei Ding

    (Dalian University of Technology)

Abstract

Operating strategies for inter-basin water transfer-supply reservoirs play an important role in assisting in the decision-making process of effectively transferring and supplying water. This article presents a bi-level optimization model for determining operating strategies for inter-basin water transfer-supply reservoirs. The bi-level model avoids the structural description limitation of traditional optimization models, which normally optimize all of the variables simultaneously, by exactly describing the leader-follower framework used in water transfer-supply. The bi-level optimization problem was solved by using Adaptive Genetic Algorithm (AGA) and was compared with the traditional optimization model. Furthermore, to improve the solution procedure, two methods were used to improve the initial solution of the bi-level model, both based on probability description methods and chaos optimization. The method was applied in a case study of Biliu River reservoir, which is located in Liaoning Province, Northeast China. The results demonstrated that the bi-level model mathematically represents the hierarchical structure of inter-basin water transfer-supply operating strategies, but it requires more time than traditional models to find optimal solutions. Thus, this article proposes methods to improve the solution procedure. The results showed that the proposed bi-level model with the improved solution procedures achieves better reservoir operation performance and shorter calculation times than the general solution procedure when the same decision variables are considered. The amounts of transferred water and abandoned water decreased by 3.8% ~ 9.3% and 5.4% ~ 12.1%, respectively, thus representing an improvement in the efficiency of water transfer. Moreover, the calculation time was decreased by approximately 60%, relative to that of the general solution procedure.

Suggested Citation

  • Xueping Zhu & Chi Zhang & Guangtao Fu & Yu Li & Wei Ding, 2017. "Bi-Level Optimization for Determining Operating Strategies for Inter-Basin Water Transfer-Supply Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(14), pages 4415-4432, November.
    • Handle: RePEc:spr:waterr:v:31:y:2017:i:14:d:10.1007_s11269-017-1756-9
    DOI: 10.1007/s11269-017-1756-9
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    References listed on IDEAS

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    1. Chi Zhang & Guoli Wang & Yong Peng & Guolei Tang & Guohua Liang, 2012. "A Negotiation-Based Multi-Objective, Multi-Party Decision-Making Model for Inter-Basin Water Transfer Scheme Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4029-4038, November.
    2. Calvete, Herminia I. & Gale, Carmen & Mateo, Pedro M., 2008. "A new approach for solving linear bilevel problems using genetic algorithms," European Journal of Operational Research, Elsevier, vol. 188(1), pages 14-28, July.
    3. Valipour, Mohammad & Gholami Sefidkouhi, Mohammad Ali & Raeini−Sarjaz, Mahmoud, 2017. "Selecting the best model to estimate potential evapotranspiration with respect to climate change and magnitudes of extreme events," Agricultural Water Management, Elsevier, vol. 180(PA), pages 50-60.
    4. Yong Peng & Jinggang Chu & Anbang Peng & Huicheng Zhou, 2015. "Optimization Operation Model Coupled with Improving Water-Transfer Rules and Hedging Rules for Inter-Basin Water Transfer-Supply Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3787-3806, August.
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    Cited by:

    1. Thibaut Cuvelier & Pierre Archambeau & Benjamin Dewals & Quentin Louveaux, 2018. "Comparison Between Robust and Stochastic Optimisation for Long-term Reservoir Management Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(5), pages 1599-1614, March.
    2. Guohua Fang & Yuxue Guo & Xin Wen & Xiaomin Fu & Xiaohui Lei & Yu Tian & Ting Wang, 2018. "Multi-Objective Differential Evolution-Chaos Shuffled Frog Leaping Algorithm for Water Resources System Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(12), pages 3835-3852, September.
    3. Zhisong Chen & Lingling Pei, 2018. "Inter-Basin Water Transfer Green Supply Chain Equilibrium and Coordination under Social Welfare Maximization," Sustainability, MDPI, vol. 10(4), pages 1-28, April.

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