基于遗传算法的固定费用运输问题研究

Study on Transport Problems with Fixed Charges based on Genetic Algorithm

根据m个源节点和n个目的节点的固定费用运输问题的网络特性建立数学模型,引入运输树的概念,提出了基于运输树的遗传算法,给出了能表示基解的染色体编码方法,通过计算机程序产生初始种群,提出了染色体选择、交配及变异规则。最后运用实例对算法的有效性进行验证,取得了满意的效果。

The paper builds up a mathematical model according to network characteristics of transport problems with f ixed charges of m source nodes and n destination nodes and brings in the concept of transport tree,puts forth genetic algorithm based on transport tree and coding method of chromosome which can express basic solution,generates initial population through computer program and presents rules of chromosome selection,mating and variation.The paper fi nally verif ies the effectiveness of the algorithm with an example and the result is satisfactory.