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Layout and Component Size Optimization of Sewer Network Using Spanning Tree and Modified PSO Algorithm

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  • Praveen K. Navin

    (Malaviya National Institute of Technology)

  • Yogesh P. Mathur

    (Malaviya National Institute of Technology)

Abstract

In the paper, a new method is introduced for optimally solve the problem of the layout and component size determination of sewer network. Simultaneously Layout and component size optimization of sewer network problem consists of many hydraulic constraints which are generally nonlinear and discrete; which creates a challenge even to the modern heuristic search methods. An algorithm generation of a predefined number of spanning trees is introduced to generate a predefined number of sewer layouts of a base sewer network in order of increasing length. These generated layouts are sorted in ascending order of total cumulative flow and sorted layouts are individually optimized for sewer components sizing. It has been found that the optimal sewer layout for total system optimization is one where the total cumulative flow has the minimal value. The modified particle swarm optimization (MPSO) algorithm has been used to optimally determine the component sizes of the selected layouts. The proposed method is applied to the Sudarshanpura sewer network (situated in Jaipur, India) design problem. The results are presented for optimal cost vs cumulative flow of the layouts. Further results of MPSO has been compared with the original PSO algorithm.

Suggested Citation

  • Praveen K. Navin & Yogesh P. Mathur, 2016. "Layout and Component Size Optimization of Sewer Network Using Spanning Tree and Modified PSO Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(10), pages 3627-3643, August.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:10:d:10.1007_s11269-016-1378-7
    DOI: 10.1007/s11269-016-1378-7
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    References listed on IDEAS

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    1. Joshua Steele & Kurt Mahoney & Omer Karovic & Larry Mays, 2016. "Heuristic Optimization Model for the Optimal Layout and Pipe Design of Sewer Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(5), pages 1605-1620, March.
    2. Omer Karovic & Larry Mays, 2014. "Sewer System Design Using Simulated Annealing in Excel," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(13), pages 4551-4565, October.
    3. Joshua C. Steele & Kurt Mahoney & Omer Karovic & Larry W. Mays, 2016. "Heuristic Optimization Model for the Optimal Layout and Pipe Design of Sewer Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(5), pages 1605-1620, March.
    4. Leila Ostadrahimi & Miguel Mariño & Abbas Afshar, 2012. "Multi-reservoir Operation Rules: Multi-swarm PSO-based Optimization Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(2), pages 407-427, January.
    5. Ali Haghighi & Amin Bakhshipour, 2012. "Optimization of Sewer Networks Using an Adaptive Genetic Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(12), pages 3441-3456, September.
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