Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 52, Issue 7-8, Pages 1219-1227Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2010.02.017
Keywords
Water distribution systems; Optimal design; Multi-objective; PSO; Pareto front; Human interaction
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Funding
- Direccion General de Investigacion del Ministerio de Educacion y Ciencia [DPI2009-11591]
- Ministerio de Asuntos Exteriores y Cooperacion of Spain [MAEC-AECI 0000202066]
- Universidad Politecnica de Valencia, Spain
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Designers of optimal water distribution systems, as is the case with most optimization problems, must consider more than one objective and a number of constraints. In this paper, a multi-objective variant of the particle swarm optimization (PSO) algorithm is applied to water distribution system optimization. To improve its ability to find the Pareto front in such a multi-objective optimization problem, the PSO has to undergo some changes. Specifically addressed are the following: the way a particle decides what is a better position; the selection of the leader (which now takes into account the existence of different objectives); and the particles' abilities to clone themselves for increasing density when needed in the Pareto front. In addition, real-time human interaction allows better development of certain zones of the Pareto front. This new approach has been applied with excellent results to a benchmarking problem from the literature, and to a real-world case problem in water distribution system design. We believe that the same approach can also be applied without major changes to other multi-objective optimization problems. (C) 2010 Elsevier Ltd. All rights reserved.
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