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Heuristic Optimization Model for the Optimal Layout and Pipe Design of Sewer Systems

Author

Listed:
  • Joshua C. Steele

    (Arizona State University)

  • Kurt Mahoney

    (Arizona State University)

  • Omer Karovic

    (Arizona State University)

  • Larry W. Mays

    (Arizona State University)

Abstract

The design of urban stormwater systems and sanitary sewer systems consists of solving two problems: generating a layout of the system and the pipe design which includes the crown elevations, slopes and commercial pipe sizes. A heuristic model for determining the optimal (minimum cost) layout and pipe design of a storm sewer network is presented. The hierarchical procedure combines a sewer layout model formulated as a mixed-integer nonlinear programming (MINLP) problem which is solved using the General Algebraic Modeling System (GAMS) and a simulated annealing optimization procedure for the pipe design of a generated layout was developed in Excel. The GAMS and simulated annealing models are interfaced through linkage of Excel and GAMS. The pipe design model is based upon the simulated annealing method to optimize the crown elevations and diameter of pipe segments in a storm sewer network using layouts generated using GAMS. A sample scenario demonstrates that using these methods may allow for significant costs saving while simultaneously reducing the time typically required to design and compare multiple storm sewer networks.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:5:d:10.1007_s11269-015-1191-8
    DOI: 10.1007/s11269-015-1191-8
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Gustavo Paiva Weyne Rodrigues & Luis Henrique Magalhães Costa & Guilherme Marques Farias & Marco Aurélio Holanda Castro, 2019. "A Depth-First Search Algorithm for Optimizing the Gravity Pipe Networks Layout," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(13), pages 4583-4598, October.
    2. Faisal M. Alfaisal & Larry W. Mays, 2021. "Optimization Models for Layout and Pipe Design for Storm Sewer Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(14), pages 4841-4854, November.
    3. 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.

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    1. 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.
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