Abstract： An optimization model for single source tree type pipe network was established, in which the minimal summation of investment and operating cost was taken as objective function. Based on the feature that the optimizations of pipe layout and pipe diameter were needed simultaneously in the integrated majorization of pipe network, the dual coding genetic algorithm combining binary coding with integer coding was adopted for solving the mathematical model, in which the mode of pipe layout was expressed by binary coding and pipe diameter was expressed by integer coding. Through the integer coding design, the pipe diameter restriction was satisfied automatically. Based on the similarity between single source tree type pipe network and spanning tree in the graph theory, cycle method was adopted to produce initial solutions, operate crossover and mutation in the operations of binary coding. The procreant chromosomes in the initial solutions creating and mutation operation are all feasible solutions, and essential condition of spanning tree is satisfied in crossover. Through these operations, the probability of infeasible solutions producing is reduced greatly, so the computational efficiency of the method is enhanced. An example shows the efficiency of the algorithm.
杨建军, 战 红, 丁玉成. 基于圈的单水源树状管网优化改进遗传算法[J]. 排灌机械工程学报, 2010, 28(2): 164-168.
Yang Jianjun, Zhan Hong, Ding Yucheng. Improved genetic algorithm for optimization of single source tree type pipe network based on cycle. Journal of Drainage and Irrigation Machinery Engin, 2010, 28(2): 164-168.
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