Deterministic versus Stochastic Design of Water Distribution Networks

The paper describes a procedure for the robust design of water distribution networks which incorporates the uncertainty of nodal water demands and pipe roughness in a multiobjective optimization scheme aimed at minimizing costs and maximizing hydraulic reliability. The methodology begins with a dete...

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Bibliographic Details
Published in:Journal of water resources planning and management 2009-03, Vol.135 (2), p.117-127
Main Authors: Giustolisi, Orazio, Laucelli, Daniele, Colombo, Andrew F
Format: Article
Language:English
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Summary:The paper describes a procedure for the robust design of water distribution networks which incorporates the uncertainty of nodal water demands and pipe roughness in a multiobjective optimization scheme aimed at minimizing costs and maximizing hydraulic reliability. The methodology begins with a deterministic system design in order to generate a set of optimal networks that serves as the initial population for subsequent multiobjective stochastic design. This approach does not depend on the choice of multiobjective optimizer (for example, a multiobjective genetic algorithm is used here) and can drastically reduce the number of “stochastic” runs needed for searching robust solutions. A collection of probability density functions based on the β function is introduced and applied to modeling variable uncertainty according to different physical requirements. The approach is tested in a case study involving a real network, illustrating its computational advantages.
ISSN:0733-9496
1943-5452
DOI:10.1061/(ASCE)0733-9496(2009)135:2(117)