Optimal Design of Water Distribution Networks Applying Pattern Search Algorithm with Fuzzy Parameters

Abstract — Water distribution network optimization has been among the most significant issues that scientists have ever regarded it highly and have done their best to cut the expenses by taking hydraulic constraints into consideration. Accordingly, regardless of the uncertainty in the parameters of network design, optimization seems something unreal. Regarding the attempts made by other scientists to simulate the uncertainties in different systems; in this study, the Fuzzy method is used to model uncertainty in fuzzy uncertainty. Also, the Pattern Search of algorithm is used for optimizing water distribution network devices. By considering Friction coefficient in Darcy-Weisbach equation, a demand in nodes, and tank head as independent fuzzy parameters we can study cost variations, heads in nodes, velocity, and discharge pipes which are known as dependent fuzzy parameters.