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A Set of New Benchmark Optimization Problems for Water Resources Management

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  • Dimitrios Karpouzos
  • Konstantinos Katsifarakis

Abstract

In this paper, we introduce four new benchmark problems, which are based on rather common optimization issues of water resources management. These problems have the following features: a) adjustable difficulty, to cover a wide range of common engineering problems b) physical background familiar to scientists working on water resources management c) known global optimal solution and known range of values of the objective function d) easy application and e) low computational volume (analytical solution of the respective groundwater flow model). First we calculate the optimal solutions of these problems and then we evaluate their difficulty and their suitability as benchmarking tools, based on theoretical considerations and on the performance of a genetic algorithm and a simulated annealing code in finding their optimal solutions. Results show that the proposed set of benchmark problems is useful for evaluating heuristic optimization codes in the field of water resources management. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Dimitrios Karpouzos & Konstantinos Katsifarakis, 2013. "A Set of New Benchmark Optimization Problems for Water Resources Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(9), pages 3333-3348, July.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:9:p:3333-3348
    DOI: 10.1007/s11269-013-0350-z
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    References listed on IDEAS

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    1. Ramesh Teegavarapu & Slobodan Simonovic, 2002. "Optimal Operation of Reservoir Systems using Simulated Annealing," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 16(5), pages 401-428, October.
    2. B Suman & P Kumar, 2006. "A survey of simulated annealing as a tool for single and multiobjective optimization," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1143-1160, October.
    3. L. Ingber, 1993. "Simulated annealing: Practice versus theory," Lester Ingber Papers 93sa, Lester Ingber.
    4. Frank Tsai & Vineet Katiyar & Doug Toy & Robert Goff, 2009. "Conjunctive Management of Large-Scale Pressurized Water Distribution and Groundwater Systems in Semi-Arid Area with Parallel Genetic Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(8), pages 1497-1517, June.
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    Cited by:

    1. D. K. Karpouzos & K. L. Katsifarakis, 2021. "A new benchmark optimization problem of adaptable difficulty: theoretical considerations and practical testing," Operational Research, Springer, vol. 21(1), pages 231-250, March.
    2. Elmira Valipour & Hamed Ketabchi & Reza Safari shali & Saeed Morid, 2023. "Equity, Social Welfare, and Economic Benefit Efficiency in the Optimal Allocation of Coastal Groundwater Resources," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(8), pages 2969-2990, June.

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