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Optimization of Sewer Networks Using an Adaptive Genetic Algorithm

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  • Ali Haghighi
  • Amin Bakhshipour

Abstract

This work aims at introducing an optimization model to design sewer networks. The approach specially focuses on handling the nonlinear and discrete constraints of the problem. For this purpose, an adaptive genetic algorithm is developed so that every chromosome, consisting of sewer diameters and slopes and pump indicators, is a feasible design. The binary chromosomes are freely generated and then decoded to feasible design alternatives following a sequential design-analysis algorithm. The adaptive decoding strategy is set up based on the open channel hydraulics and sewer design criteria. Through the proposed method, all the sewer system’s constraints are systematically satisfied. Consequently, there is neither need to discard or repair infeasible chromosomes nor to apply penalty factors to the cost function. A benchmark sewer network from the literature is considered to be designed using the proposed approach. The obtained results are then discussed and compared with the previous works. It is found that the adaptive constraint handling method computationally makes the optimization more efficient in terms of speed and reliability. Copyright Springer Science+Business Media B.V. 2012

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:26:y:2012:i:12:p:3441-3456
    DOI: 10.1007/s11269-012-0084-3
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    References listed on IDEAS

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    1. Ali Haghighi & Hossein Samani & Zeinab Samani, 2011. "GA-ILP Method for 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. 25(7), pages 1791-1808, May.
    2. 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.
    3. 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.
    4. 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.
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    Cited by:

    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. Hriday Kalita & Arup Sarma & Rajib Bhattacharjya, 2014. "Evaluation of Optimal River Training Work Using GA Based Linked Simulation-Optimization Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(8), pages 2077-2092, June.
    3. 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.
    4. 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.
    5. Anna Petit-Boix & David Sanjuan-Delmás & Sergio Chenel & Desirée Marín & Carles Gasol & Ramon Farreny & Gara Villalba & María Suárez-Ojeda & Xavier Gabarrell & Alejandro Josa & Joan Rieradevall, 2015. "Assessing the Energetic and Environmental Impacts of the Operation and Maintenance of Spanish Sewer Networks from a Life-Cycle Perspective," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2581-2597, June.
    6. Valentina Marchionni & Nuno Lopes & Luis Mamouros & Dídia Covas, 2014. "Modelling Sewer Systems Costs with Multiple Linear Regression," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(13), pages 4415-4431, October.
    7. Anna Petit-Boix & Núria Roigé & Albert de la Fuente & Pablo Pujadas & Xavier Gabarrell & Joan Rieradevall & Alejandro Josa, 2016. "Integrated Structural Analysis and Life Cycle Assessment of Equivalent Trench-Pipe Systems for Sewerage," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(3), pages 1117-1130, February.
    8. Zong Woo Geem & Jin-Hong Kim, 2016. "Sustainable Optimization for Wastewater Treatment System Using PSF-HS," Sustainability, MDPI, vol. 8(4), pages 1-13, March.
    9. Iman Ahmadianfar & Bijay Halder & Salim Heddam & Leonardo Goliatt & Mou Leong Tan & Zulfaqar Sa’adi & Zainab Al-Khafaji & Raad Z. Homod & Tarik A. Rashid & Zaher Mundher Yaseen, 2023. "An Enhanced Multioperator Runge–Kutta Algorithm for Optimizing Complex Water Engineering Problems," Sustainability, MDPI, vol. 15(3), pages 1-28, January.
    10. 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.
    11. 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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