YANG Jia-li,DU Kun,CHEN Yang,et al.Multi-objective Optimization of Water Distribution System Based on Differential Evolution of Redundant Selection Strategy[J].China Water & Wastewater,2021,37(9 9):40-45.
Multi-objective Optimization of Water Distribution System Based on Differential Evolution of Redundant Selection Strategy
China Water & Wastewater[ISSN:1000-4062/CN:12-1073/TU]
volume:
第37卷
Number:
9 9
Page:
40-45
Column:
Date of publication:
2021-05-01
- Keywords:
- redundant selection strategy; differential evolution; water distribution system; multi-objective optimization
- Abstract:
- In order to solve the problem of low computational efficiency of evolutionary algorithms in optimization design of largescale water distribution systems (WDSs), a redundant differential evolution algorithm (RDEA) based on redundant selection strategy was proposed. Several redundant vectors of contemporary optimal solution were repeatedly added to each generation population to form the parent generation population in the selection stage of this method, and the population diversity was appropriately reduced to guide the population to evolve in a better direction and obtain the approximate optimal solution quickly. By taking the cost of the pipe network as the economic objective function and the variance of node surplus head as the reliable objective function, a multi-objective model for optimal design of WDSs was established and verified by BIN benchmark network. When using RDEA to calculate, redundancy of 6% could increase the calculation efficiency by 62.768% while the accuracy of solutions was guaranteed. The obtained economic indexes when redundancies were 1%-6% and the obtained reliability indexes when redundancies were 1%-3%, were better than those calculated by standard DEA (SDEA), and the best range of F was 0.1-0.3 and CR was 0.4. RDEA could improve the computational efficiency, and near-optimal solutions of WDSs were obtained quickly and effectively, which showed good performance.
Last Update:
2021-05-01