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Multi-Objective Differential Evolution-Chaos Shuffled Frog Leaping Algorithm for Water Resources System Optimization

Author

Listed:
  • Guohua Fang

    (Hohai University)

  • Yuxue Guo

    (Hohai University)

  • Xin Wen

    (Hohai University
    China Institute of Water Resources and Hydropower Research
    China Changjiang River Scientific Research Institute of Changjiang Water Resources Commission)

  • Xiaomin Fu

    (China Datang Northwest Electric Power Test and Research Institute Brach)

  • Xiaohui Lei

    (China Institute of Water Resources and Hydropower Research)

  • Yu Tian

    (China Institute of Water Resources and Hydropower Research)

  • Ting Wang

    (Hohai University)

Abstract

A multi-objective differential evolution-chaos shuffled frog leaping algorithm (MODE-CSFLA) is proposed for water resources system optimization to overcome the shortcomings of easily falling into local minima and premature convergence in SFLA. The performance of MODE-CSFLA in solving benchmark problems is compared with that of non-dominated sorting genetic algorithm II (NSGA-II) and multi-objective particle swarm optimization (MOPSO). At last, the proposed MODE-CSFLA is used to optimize the water resources allocation plan of the East Route of the South-to-North Water Transfer Project in the normal, dry, and extremely dry years. The results reveal that MODE-CSFLA performs better than NSGA-II and MOPSO under all conditions. Compared with shuffled frog leaping algorithm (SFLA), MODE-CSFLA can result in a 29.39, 27.47 and 22.55% increase in water supply when the single objective is to minimize the water pumpage; and a 41.01, 39.63 and 30.94% decrease in total pumpage when the single objective is to maximize the water supply in the normal, dry, and extremely dry conditions, respectively. Thus, MODE-CSFLA has the potential to be used for solving complex optimization problems of water resources systems.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:12:d:10.1007_s11269-018-2021-6
    DOI: 10.1007/s11269-018-2021-6
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    Cited by:

    1. Zhe Yang & Kan Yang & Lyuwen Su & Hu Hu, 2020. "The Short-Term Economical Operation Problem for Hydropower Station Using Chaotic Normal Cloud Model Based Discrete Shuffled Frog Leaping Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(3), pages 905-927, February.
    2. Ting Wang & Yu Liu & Ying Wang & Xinmin Xie & Jinjun You, 2019. "A Multi-Objective and Equilibrium Scheduling Model Based on Water Resources Macro Allocation Scheme," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(10), pages 3355-3375, August.
    3. Ziyu Ding & Guohua Fang & Xin Wen & Qiaofeng Tan & Xiaohui Lei & Zhehua Liu & Xianfeng Huang, 2020. "Cascaded Hydropower Operation Chart Optimization Balancing Overall Ecological Benefits and Ecological Conservation in Hydrological Extremes Under Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(3), pages 1231-1246, February.

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