Adaptive Mutated Momentum Shuffled Frog Leaping Algorithm for Design of Water Distribution Networks

Abstract

With the introduction of intelligent heuristic optimization strategies, there has been an increasing interest in the use of these methods for solving the design problem of water distribution networks (WDN). This paper proposes the use of a new version of heuristic shuffled frog leaping (SFL) algorithm for solving the problem of WDN design. First, in order to speed up the original SFL algorithm, an adaptive parameter is introduced. Then, momentum parts are added to the SFL to increase the ability of the algorithm in escaping from local optimums. Finally, a mutation operator is proposed to increase the diversification property of the algorithm. The new version of the SFL algorithm is called adaptive mutated momentum shuffled frog leaping (AMMSFL). The proposed AMMSFL is then applied to solve WDN design problems. An illustrative and comparative illustrative example is presented to show the efficiency and superiority of the introduced AMMSFL compared to the other well-known heuristic algorithms.