Fuzzy multiobjective optimization of water distribution networks

Fuzzy multiobjective optimization of water distribution networks

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Article ID: iaor2007856
Country: United States
Volume: 131
Issue: 6
Start Page Number: 467
End Page Number: 476
Publication Date: Nov 2005
Journal: Journal of Water Resources Planning and Management
Authors: , ,
Keywords: fuzzy sets, programming: multiple criteria, networks
Abstract:

An original approach to the optimal design of water distribution networks is presented in this paper. Multiobjective optimization is applied, i.e., minimizing costs and maximizing a benefit/quality function, the tradeoff curve being produced by a genetic algorithm. Fuzzy reasoning is introduced to the evaluation of benefits for each potential solution. A number of criteria are introduced, individually assessed by fuzzy membership functions and combined as a whole using fuzzy aggregation operators. Additionally the paper includes a novel approach for the simulation of tanks as network storage components within the genetic algorithm, taking into account the tank shape. The model is applied to a well-known example from the literature, the ‘Anytown’ water distribution network, to benchmark the results. Comparison of results shows that the model manages to find a better solution than any other previous approach in terms of cost, despite the multiple criteria applied for the benefit function being more extensive and stricter.

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