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Multi Objective Optimization with a New Evolutionary Algorithm

Author

Listed:
  • Samaneh Seifollahi-Aghmiuni

    (Stockholm University)

  • Omid Bozorg Haddad

    (University of Tehran)

Abstract

Various objectives are mainly met through decision making in real world. Achieving desirable condition for all objectives simultaneously is a necessity for conflicting objectives. This concept is called multi objective optimization widely used nowadays. In this study, a new algorithm, comprehensive evolutionary algorithm (CEA), is developed based on general concepts of evolutionary algorithms that can be applied for single or multi objective problems with a fixed structure. CEA is validated through solving several mathematical multi objective problems and the obtained results are compared with the results of the non-dominated sorting genetic algorithm II (NSGA-II). Also, CEA is applied for solving a reservoir operation management problem. Comparisons show that CEA has a desirable performance in multi objective problems. The decision space is accurately assessed by CEA in considered problems and the obtained solutions’ set has a great extent in the objective space of each problem. Also, CEA obtains more number of solutions on the Pareto than NSGA-II for each considered problem. Although the total run time of CEA is longer than NSGA-II, solution set obtained by CEA is about 32, 4.4 and 1.6% closer to the optimum results in comparison with NSGA-II in the first, second and third mathematical problem, respectively. It shows the high reliability of CEA’s results in solving multi objective problems.

Suggested Citation

  • Samaneh Seifollahi-Aghmiuni & Omid Bozorg Haddad, 2018. "Multi Objective Optimization with a New Evolutionary Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(12), pages 4013-4030, September.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:12:d:10.1007_s11269-018-2034-1
    DOI: 10.1007/s11269-018-2034-1
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    References listed on IDEAS

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    1. Lipowski, Adam & Lipowska, Dorota, 2012. "Roulette-wheel selection via stochastic acceptance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(6), pages 2193-2196.
    2. Niknam, Taher & Meymand, Hamed Zeinoddini & Mojarrad, Hasan Doagou, 2011. "An efficient algorithm for multi-objective optimal operation management of distribution network considering fuel cell power plants," Energy, Elsevier, vol. 36(1), pages 119-132.
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    Cited by:

    1. Dong Liu & Tao Bai & Mingjiang Deng & Jia Xu & Xiaoting Wei, 2024. "Multi-Objective Ecological Operation of Large-Scale Reservoir-Gate System Coupled with Vegetation Priority Irrigation in Arid Regions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 38(13), pages 5097-5122, October.

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