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Minimization of Sewage Network Overflow

Author

Listed:
  • Bernat Joseph-Duran
  • Michael Jung
  • Carlos Ocampo-Martinez
  • Sebastian Sager
  • Gabriela Cembrano

Abstract

We are interested in the optimal control of sewage networks. It is of high public interest to minimize the overflow of sewage onto the streets and to the natural environment that may occur during periods of heavy rain. The assumption of linear flow in a discrete time setting has proven to be adequate for the practical control of larger systems. However, the possibility of overflow introduces a nonlinear and nondifferentiable element to the formulation, by means of a maximum of linear terms. This particular challenge can be addressed by smoothing methods that result in a nonlinear program (NLP) or by logical constraints that result in a mixed integer linear program (MILP). We discuss both approaches and present a novel tailored branch-and-bound algorithm that outperforms competing methods from the literature for a set of realistic rain scenarios. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Bernat Joseph-Duran & Michael Jung & Carlos Ocampo-Martinez & Sebastian Sager & Gabriela Cembrano, 2014. "Minimization of Sewage Network Overflow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(1), pages 41-63, January.
    • Handle: RePEc:spr:waterr:v:28:y:2014:i:1:p:41-63
    DOI: 10.1007/s11269-013-0468-z
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    References listed on IDEAS

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    1. J. Forrest & J. Tomlin, 2007. "Branch and bound, integer, and non-integer programming," Annals of Operations Research, Springer, vol. 149(1), pages 81-87, February.
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    Cited by:

    1. T. R. Rosin & M. Romano & E. Keedwell & Z. Kapelan, 2021. "A Committee Evolutionary Neural Network for the Prediction of Combined Sewer Overflows," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(4), pages 1273-1289, March.
    2. Upaka Rathnayake & Tiku Tanyimboh, 2015. "Evolutionary Multi-Objective Optimal Control of Combined Sewer Overflows," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2715-2731, June.

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