Deterministic vs. Stochastic Design of Water Distribution Networks

Research Area: Hydro Year: 2009
Type of Publication: Article Keywords: Stochastic processes, Water distribution systems, Networks, System reliability, Uncertainty principles
Authors:
Journal: JOURNAL OF WATER RESOURCES PLANNING AND MANAGEMENT-ASCE Volume: 135 (2)
Pages: 117-127
ISSN: 0733-9496
Abstract:
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.
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