Optimization models for operative planning in drinking water networks |
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Authors: | Jens Burgschweiger Bernd Gnädig Marc C Steinbach |
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Affiliation: | 1. Abt. NA-G/W, Berliner Wasserbetriebe, 10864, Berlin, Germany 2. Düsseldorf, Germany 3. IfAM, Leibniz Universit?t Hannover, Welfengarten 1, 30167, Hannover, Germany
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Abstract: | The topic of this paper is minimum cost operative planning of pressurized water supply networks over a finite horizon and
under reliable demand forecast. Since this is a very hard problem, it is desirable to employ sophisticated mathematical algorithms,
which in turn calls for carefully designed models with suitable properties. The paper develops a nonlinear mixed integer model
and a nonlinear programming model with favorable properties for gradient-based optimization methods, based on smooth component
models for the network elements. In combination with further nonlinear programming techniques (Burgschweiger et al. in ZIB
Report ZR-05-31, Zuse Institute Berlin, 2005), practically satisfactory near-optimum solutions even for large networks can be generated in acceptable time using standard
optimization software on a PC workstation. Such an optimization system is in operation at Berliner Wasserbetriebe. |
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Keywords: | Drinking water supply Distribution network Minimum cost operative planning Continuous time model Mixed integer model Nonlinear programming model |
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