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Efficiency of Evolutionary Algorithms in Water Network Pipe Sizing

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  • D. Mora-Melia
  • P. Iglesias-Rey
  • F. Martinez-Solano
  • P. Ballesteros-Pérez

Abstract

The pipe sizing of water networks via evolutionary algorithms is of great interest because it allows the selection of alternative economical solutions that meet a set of design requirements. However, available evolutionary methods are numerous, and methodologies to compare the performance of these methods beyond obtaining a minimal solution for a given problem are currently lacking. A methodology to compare algorithms based on an efficiency rate (E) is presented here and applied to the pipe-sizing problem of four medium-sized benchmark networks (Hanoi, New York Tunnel, GoYang and R-9 Joao Pessoa). E numerically determines the performance of a given algorithm while also considering the quality of the obtained solution and the required computational effort. From the wide range of available evolutionary algorithms, four algorithms were selected to implement the methodology: a PseudoGenetic Algorithm (PGA), Particle Swarm Optimization (PSO), a Harmony Search and a modified Shuffled Frog Leaping Algorithm (SFLA). After more than 500,000 simulations, a statistical analysis was performed based on the specific parameters each algorithm requires to operate, and finally, E was analyzed for each network and algorithm. The efficiency measure indicated that PGA is the most efficient algorithm for problems of greater complexity and that HS is the most efficient algorithm for less complex problems. However, the main contribution of this work is that the proposed efficiency ratio provides a neutral strategy to compare optimization algorithms and may be useful in the future to select the most appropriate algorithm for different types of optimization problems. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • D. Mora-Melia & P. Iglesias-Rey & F. Martinez-Solano & P. Ballesteros-Pérez, 2015. "Efficiency of Evolutionary Algorithms in Water Network Pipe Sizing," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(13), pages 4817-4831, October.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:13:p:4817-4831
    DOI: 10.1007/s11269-015-1092-x
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    References listed on IDEAS

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    Cited by:

    1. Mojtaba Moravej & Seyed-Mohammad Hosseini-Moghari, 2016. "Large Scale Reservoirs System Operation Optimization: the Interior Search Algorithm (ISA) Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(10), pages 3389-3407, August.
    2. Tiku T. Tanyimboh, 2017. "Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(10), pages 3189-3204, August.
    3. Hossein Fallah & Ozgur Kisi & Sungwon Kim & Mohammad Rezaie-Balf, 2019. "A New Optimization Approach for the Least-Cost Design of Water Distribution Networks: Improved Crow Search Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(10), pages 3595-3613, August.
    4. Sergio A. Silva-Rubio & Yamisleydi Salgueiro & Daniel Mora-Meliá & Jimmy H. Gutiérrez-Bahamondes, 2024. "Improving Water and Energy Resource Management: A Comparative Study of Solution Representations for the Pump Scheduling Optimization Problem," Mathematics, MDPI, vol. 12(13), pages 1-21, June.
    5. P Sivakumar & R. Prasad & S. Chandramouli, 2016. "Uncertainty Analysis of Looped Water Distribution Networks Using Linked EPANET-GA Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 331-358, January.
    6. Gustavo Meirelles & Daniel Manzi & Bruno Brentan & Thaisa Goulart & Edevar Luvizotto, 2017. "Calibration Model for Water Distribution Network Using Pressures Estimated by Artificial Neural Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(13), pages 4339-4351, October.
    7. P . Sivakumar & R. K. Prasad & S. Chandramouli, 2016. "Uncertainty Analysis of Looped Water Distribution Networks Using Linked EPANET-GA Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 331-358, January.

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