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Water 2015, 7(7), 3613-3625; doi:10.3390/w7073613

Multiobjective Optimization of Water Distribution Networks Using Fuzzy Theory and Harmony Search

Department of Energy IT, Gachon University, Seongnam 461-701, Korea
Academic Editor: Enedir Ghisi
Received: 30 April 2015 / Revised: 27 June 2015 / Accepted: 30 June 2015 / Published: 8 July 2015
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Abstract

Thus far, various phenomenon-mimicking algorithms, such as genetic algorithm, simulated annealing, tabu search, shuffled frog-leaping, ant colony optimization, harmony search, cross entropy, scatter search, and honey-bee mating, have been proposed to optimally design the water distribution networks with respect to design cost. However, flow velocity constraint, which is critical for structural robustness against water hammer or flow circulation against substance sedimentation, was seldom considered in the optimization formulation because of computational complexity. Thus, this study proposes a novel fuzzy-based velocity reliability index, which is to be maximized while the design cost is simultaneously minimized. The velocity reliability index is included in the existing cost optimization formulation and this extended multiobjective formulation is applied to two bench-mark problems. Results show that the model successfully found a Pareto set of multiobjective design solutions in terms of cost minimization and reliability maximization. View Full-Text
Keywords: multiobjective optimization; water distribution network; fuzzy theory; harmony search; reliability multiobjective optimization; water distribution network; fuzzy theory; harmony search; reliability
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Geem, Z.W. Multiobjective Optimization of Water Distribution Networks Using Fuzzy Theory and Harmony Search. Water 2015, 7, 3613-3625.

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