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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Bibliographic Details
Published in:Water resources management Vol. 28; no. 1; pp. 41 - 63
Main Authors: Joseph-Duran, Bernat, Jung, Michael N., Ocampo-Martinez, Carlos, Sager, Sebastian, Cembrano, Gabriela
Format: Journal Article Publication
Language:English
Published: Dordrecht Springer Netherlands 01.01.2014
Springer
Springer Nature B.V
Subjects:
Algorithms
Atmospheric Sciences
Automàtica i control
Branch & bound algorithms
Canals
Civil Engineering
Classificació INSPEC
control theory dynamic programming nonlinear programming optimal control optimisation Author keywords: sewer network
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Environment
Environmental studies
Exact sciences and technology
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Hydrogeology
Hydrology. Hydrogeology
Hydrology/Water Resources
Informàtica
Linear equations
linear programming
Mathematical models
Mixed integer
MLD
Natural environment
Network topologies
Networks
nonlinear programming problems NOTA: Potser s'hauria de corregir el nom de Maria Gabriela Cembrano Gennari. Jo he preferit no duplicar l'autora
Nonlinearity
optimal contol
Optimisation
Optimization
Overflow
Partial differential equations
Pollution, environment geology
Public concern
Rain
Rainfall
Resource management
Sewage
Sewer systems
Water resources
Water resources management
Water treatment plants
Àrees temàtiques de la UPC
Optimal control
Optimization
CSO
Sewer networks
algorithms
optimization
Sewers
water resource management
programs
networks
sewage
methodology
ISSN:0920-4741, 1573-1650
Online Access:Get full text
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Description
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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ISSN:0920-4741
1573-1650
DOI:10.1007/s11269-013-0468-z