Minimization of sewage network overflow
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 adequat...
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| Main Authors: | , , |
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| Other Authors: | , |
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2014
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| In: |
Water resources management
Year: 2014, Volume: 28, Issue: 1, Pages: 41-63 |
| ISSN: | 1573-1650 |
| DOI: | 10.1007/s11269-013-0468-z |
| Online Access: | Resolving-System, Volltext: https://doi.org/10.1007/s11269-013-0468-z Verlag, Volltext: https://link.springer.com/article/10.1007%2Fs11269-013-0468-z 
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| Author Notes: | Bernat Joseph-Duran, Michael N. Jung, Carlos Ocampo-Martinez, Sebastian Sager, Gabriela Cembrano |
| Summary: | 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. |
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| Item Description: | Published online: 5 November 2013 |
| Physical Description: | Online Resource |
| ISSN: | 1573-1650 |
| DOI: | 10.1007/s11269-013-0468-z |