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Optimization Models for Layout and Pipe Design for Storm Sewer Systems

Author

Listed:
  • Faisal M. Alfaisal

    (King Saud University)

  • Larry W. Mays

    (Arizona State University)

Abstract

Optimization models are developed for simultaneously determining the pipe layout and the pipe design for storm sewer systems. The pipe design process includes computation of commercial diameters, slopes, and crown elevations for the storm sewer pipes. The optimization models aim to minimize the total costs of the layout and the pipe design for most of system elements. The optimization models are formulated as a 0–1 Integer Nonlinear Programming problem and solved using the General Algebraic Modeling System without the use of heuristic models which were characteristic of all previous models for the simultaneous determine of the pipe layout and pipe design of sewer networks. The models are based upon two different optimization approaches: (1) considers one or more commercial diameters of pipe connecting two manholes and (2) considers only one commercial diameter in a pipe connecting two manholes. The commercial diameters, pipe slopes, crown elevations, and total costs of the storm sewer system were compared for the two approaches using an example that illustrates the savings in cost by allowing multiple pipe sizes. The two new optimization modeling approaches developed herein can simultaneously determine the minimum cost pipe design (commercial diameters, slopes, and crown elevations) and pipe layout of storm sewer systems and satisfy all design constraints.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:35:y:2021:i:14:d:10.1007_s11269-021-02958-5
    DOI: 10.1007/s11269-021-02958-5
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    References listed on IDEAS

    as
    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. Waqed H. Hassan & Musa H. Jassem & Safaa S. Mohammed, 2018. "A GA-HP Model for the Optimal Design of Sewer Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 865-879, February.
    4. 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.
    5. 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.
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