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Multi-Directional Maximum-Entropy Approach to the Evolutionary Design Optimization of Water Distribution Systems

Author

Listed:
  • Salah Saleh

    (University of Strathclyde Glasgow
    University of Tripoli)

  • Tiku T. Tanyimboh

    (University of Strathclyde Glasgow)

Abstract

A new multi-directional search approach that aims at maximizing the flow entropy of water distribution systems is investigated. The aim is to develop an efficient and practical maximum entropy based approach. The resulting optimization problem has four objectives, and the merits of objective reduction in the computational solution of the problem are investigated also. The relationship between statistical flow entropy and hydraulic reliability/failure tolerance is not monotonic. Consequently, a large number of maximum flow entropy solutions must be investigated to strike a balance between cost and hydraulic reliability. A multi-objective evolutionary optimization model is developed that generates simultaneously a wide range of maximum entropy values along with clusters of maximum and near-maximum entropy solutions. Results for a benchmark network and a real network in the literature are included that demonstrate the effectiveness of the procedure.

Suggested Citation

  • Salah Saleh & Tiku T. Tanyimboh, 2016. "Multi-Directional Maximum-Entropy Approach to the Evolutionary Design Optimization of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(6), pages 1885-1901, April.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:6:d:10.1007_s11269-016-1253-6
    DOI: 10.1007/s11269-016-1253-6
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    References listed on IDEAS

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    1. Enrico Creaco & Marco Franchini & Stefano Alvisi, 2010. "Optimal Placement of Isolation Valves in Water Distribution Systems Based on Valve Cost and Weighted Average Demand Shortfall," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4317-4338, December.
    2. Mohd Abdy Sayyed & Rajesh Gupta & Tiku Tanyimboh, 2015. "Noniterative Application of EPANET for Pressure Dependent Modelling Of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3227-3242, July.
    3. Nikolai Gorev & Inna Kodzhespirova, 2013. "Noniterative Implementation of Pressure-Dependent Demands Using the Hydraulic Analysis Engine of EPANET 2," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(10), pages 3623-3630, August.
    4. Salah Saleh & Tiku Tanyimboh, 2014. "Optimal Design of Water Distribution Systems Based on Entropy and Topology," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3555-3575, September.
    5. Raúl Baños & Juan Reca & Juan Martínez & Consolación Gil & Antonio Márquez, 2011. "Resilience Indexes for Water Distribution Network Design: A Performance Analysis Under Demand Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2351-2366, August.
    6. E. Creaco & M. Franchini & S. Alvisi, 2012. "Evaluating Water Demand Shortfalls in Segment Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2301-2321, June.
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    Cited by:

    1. Tiku T. Tanyimboh & Anna M. Czajkowska, 2018. "Joint Entropy Based Multi-Objective Evolutionary Optimization of Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(8), pages 2569-2584, June.
    2. Tiku T. Tanyimboh & Anna M. Czajkowska, 2021. "Entropy maximizing evolutionary design optimization of water distribution networks under multiple operating conditions," Environment Systems and Decisions, Springer, vol. 41(2), pages 267-285, June.
    3. 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.
    4. Calvin Siew & Tiku T. Tanyimboh & Alemtsehay G. Seyoum, 2016. "Penalty-Free Multi-Objective Evolutionary Approach to Optimization of Anytown Water Distribution Network," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(11), pages 3671-3688, September.
    5. Tiku T. Tanyimboh & Anna Czajkowska, 2018. "Self-Adaptive Solution-Space Reduction Algorithm for Multi-Objective Evolutionary Design Optimization of Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3337-3352, August.
    6. Akbar Shirzad & Massoud Tabesh & Behzad Atayikia, 2017. "Multiobjective Optimization of Pressure Dependent Dynamic Design 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(9), pages 2561-2578, July.
    7. Alemtsehay G. Seyoum & Tiku T. Tanyimboh, 2016. "Investigation into the Pressure-Driven Extension of the EPANET Hydraulic Simulation Model for Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5351-5367, November.

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