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Algorithm for Increasing the Speed of Evolutionary Optimization and its Accuracy in Multi-objective Problems

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  • Ashkan Shokri
  • Omid Bozorg Haddad
  • Miguel Mariño

Abstract

Optimization algorithms are important tools for the solution of combinatorial management problems. Nowadays, many of those problems are addressed by using evolutionary algorithms (EAs) that move toward a near-optimal solution by repetitive simulations. Sometimes, such extensive simulations are not possible or are costly and time-consuming. Thus, in this study a method based on artificial neural networks (ANN) is proposed to reduce the number of simulations required in EAs. Specifically, an ANN simulator is used to reduce the number of simulations by the main simulator. The ANN is trained and updated only for required areas in the decision space. Performance of the proposed method is examined by integrating it with the non-dominated sorting genetic algorithm (NSGAII) in multi-objective problems. In terms of density and optimality of the Pareto front, the hybrid NSGAII-ANN is able to extract the Pareto front with much less simulation time compared to the sole use of the NSGAII algorithm. The proposed NSGAII-ANN methodology was examined using three standard test problems (FON, KUR, and ZDT1) and one real-world problem. The latter addresses the operation of a reservoir with two objectives (meeting demand and flood control). Thus, based on this study, use of the NSGAII-ANN integrative algorithm in problems with time-consuming simulators reduces the required time for optimization up to 50 times. Results of the real-world problem, despite lower computational-time requirements, show a performance similar to that achieved in the aforementioned test problems. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Ashkan Shokri & Omid Bozorg Haddad & Miguel Mariño, 2013. "Algorithm for Increasing the Speed of Evolutionary Optimization and its Accuracy in Multi-objective Problems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2231-2249, May.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:7:p:2231-2249
    DOI: 10.1007/s11269-013-0285-4
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    References listed on IDEAS

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    1. S. Seifollahi-Aghmiuni & Omid Bozorg Haddad & M. Omid & M. Mariño, 2013. "Effects of Pipe Roughness Uncertainty on Water Distribution Network Performance During its Operational Period," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1581-1599, March.
    2. Moradi-Jalal, Mahdi & Bozorg Haddad, Omid & Karney, Bryan W. & Marino, Miguel A., 2007. "Reservoir operation in assigning optimal multi-crop irrigation areas," Agricultural Water Management, Elsevier, vol. 90(1-2), pages 149-159, May.
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    Cited by:

    1. Mehdi Kazemi & Omid Bozorg-Haddad & Elahe Fallah-Mehdipour & Xuefeng Chu, 2022. "Optimal water resources allocation in transboundary river basins according to hydropolitical consideration," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(1), pages 1188-1206, January.
    2. Ashkan Shokri & Omid Bozorg Haddad & Miguel Mariño, 2014. "Multi-Objective Quantity–Quality Reservoir Operation in Sudden Pollution," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(2), pages 567-586, January.
    3. Habib Akbari-Alashti & Omid Bozorg Haddad & Miguel Mariño, 2015. "Evaluation of a Developed Discrete Time-Series Method in Flow Forecasting Models," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3211-3225, July.
    4. Yutao Qi & Liang Bao & Yingying Sun & Jungang Luo & Qiguang Miao, 2016. "A Memetic Multi-objective Immune Algorithm for Reservoir Flood Control Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 2957-2977, July.
    5. Elahe Fallah-Mehdipour & Omid Bozorg Haddad & Saeed Alimohammadi & Hugo Loáiciga, 2015. "Development of Real-Time Conjunctive Use Operation Rules for Aquifer-Reservoir Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(6), pages 1887-1906, April.
    6. Mohammad Hadi Afshar & R. Hajiabadi, 2018. "A Novel Parallel Cellular Automata Algorithm for Multi-Objective Reservoir Operation Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(2), pages 785-803, January.
    7. Mehri Abdi-Dehkordi & Omid Bozorg-Haddad & Abdolrahim Salavitabar & Sahar Mohammad-Azari & Erfan Goharian, 2021. "Development of flood mitigation strategies toward sustainable development," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 108(3), pages 2543-2567, September.
    8. M. Ahmadi & Omid Bozorg Haddad & M. Mariño, 2014. "Extraction of Flexible Multi-Objective Real-Time Reservoir Operation Rules," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(1), pages 131-147, January.
    9. Mahboubeh Khorsandi & Parisa-Sadat Ashofteh & Firoozeh Azadi & Xuefeng Chu, 2022. "Multi-Objective Firefly Integration with the K-Nearest Neighbor to Reduce Simulation Model Calls to Accelerate the Optimal Operation of Multi-Objective Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 3283-3304, July.
    10. Habib Akbari-Alashti & Omid Bozorg Haddad & Miguel Mariño, 2015. "Application of Fixed Length Gene Genetic Programming (FLGGP) in Hydropower Reservoir Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3357-3370, July.
    11. Guang Yang & Shenglian Guo & Liping Li & Xingjun Hong & Le Wang, 2016. "Multi-Objective Operating Rules for Danjiangkou Reservoir Under Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 1183-1202, February.
    12. Omid Bozorg-Haddad & Pouria Yari & Mohammad Delpasand & Xuefeng Chu, 2022. "Reservoir operation under influence of the joint uncertainty of inflow and evaporation," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(2), pages 2914-2940, February.

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