本文研究基于禁止时间窗的应急物资调度车辆路径问题。首先对研究问题进行界定,其中交通网络的道路和节点均带有禁止时间窗,目标是通过路径选择最小化应急物资的调运时间;随后定义两组决策变量,分别用于路径上节点和枝线的选择,进而构建问题的整数规划优化模型;鉴于模型的组合属性,设计问题求解的禁忌搜索启发式算法;最后通过一个算例对结果进行说明,得到如下结论:由于禁止时间窗的影响,车辆在最差路径上的运输时间及等待时间,要比满意路径上的分别长68.8%和266.7%,显示出路径优选的实用价值。
This paper involves the forbidding time window based vehicle routing problem in emergency transportation. The problem, where both arcs and nodes in network have a forbidding time window and the objective is to minimize the emergency transportation time, is identified firstly. Then two groups of decision variables are de- fined to indicate the nodes and arcs on the path selected, and an integer programming optimization model of the problem is constructed. For the combinational attribute owned by the model, a tabu search heuristic is developed. Finally, the research is illustrated by an instance and the following conclusion is obtained: For the effect of the forbidding time windows, the transportation time and the waiting time of the vehicle on the worst path are 68.8% and 266.7% longer than those of the vehicle on the satisfactory path respectively, showing the importance of path optimization.