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A GA-HP Model for the Optimal Design of Sewer Networks

Author

Listed:
  • Waqed H. Hassan

    (University of Kerbala)

  • Musa H. Jassem

    (University of Kerbala)

  • Safaa S. Mohammed

    (University of Kerbala)

Abstract

This paper illustrates the application of a new model combined Genetic Algorithm with Heuristic Programming (GA-HP) technique in order to establish the optimal design for sewer networks. The objective is to minimise the construction cost function, which is represented by the depth of excavation and pipe diameter. The proposed GA-HP model has achieved the optimum design task in two stages. Firstly, the Genetic Algorithm (GA) was applied to obtain the diameters of the pipes needed for the preliminary design of the network. Secondly, Heuristic Programming (HP) preliminary designs were used to obtain the optimal slope for those pipes and to determine other characteristics such as the velocity, relative depth of water, excavation depths and total cost of the network. A MATLAB code was used to perform the GA-HP optimisation modelling. The performance of three different selection methods, four different crossover methods and different population sizes is examined with the proposed model, to determine their impact on convergence behaviour. The proposed GA-HP model is tested using some benchmark examples of sewer networks from the literature. The results show that the GA-HP model is superior to all previous methods and may be more efficient in the design of large networks.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:3:d:10.1007_s11269-017-1843-y
    DOI: 10.1007/s11269-017-1843-y
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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.
    2. J. Reca & J. Martínez & C. Gil & R. Baños, 2008. "Application of Several Meta-Heuristic Techniques to the Optimization of Real Looped Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(10), pages 1367-1379, October.
    3. Milan Cisty, 2010. "Hybrid Genetic Algorithm and Linear Programming Method for Least-Cost Design 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. 24(1), pages 1-24, January.
    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.
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    Cited by:

    1. Pantelis Broukos & Antonios Fragkogios & Nilay Shah, 2022. "A Linearized Mathematical Formulation for Combined Centralized and Distributed Waste Water Treatment Network Design," SN Operations Research Forum, Springer, vol. 3(3), pages 1-29, September.
    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. Waqed H. Hassan & Hussein H. Hussein & Duaa H. Khashan & Musa H. Alshammari & Basim K. Nile, 2022. "Application of the Coupled Simulation–optimization Method for the Optimum Cut-off Design Under a Hydraulic Structure," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(12), pages 4619-4636, September.

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