Least cost design of water distribution network by Cross entropy optimization

A mathematical model for the least cost design of water distribution network (WDN), subject to satisfying the hydraulic constraints, based on Cross entropy is presented. In design of WDN, it is required to select for each pipe one diameter from the list of commercially available diameters. The developed model is applied to Hanoi water distribution network, and the results are compared with previous studies. It is concluded that cross entropy method is very effective in the optimization of the water distribution networks which involve discrete diameters as decisions, and has the capability of rapid convergence to optimum solutions.