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: | Savic Dragan A., Walters Godfrey A., Vamvakeridou-Lyroudia L.S. |
Keywords: | fuzzy sets, programming: multiple criteria, networks |
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.