• 论文 •    

不确定需求和旅行时间下的车辆路径问题

侯玲娟,周泓,梁春华   

  1. 北京航空航天大学 经济管理学院,北京100191
  • 出版日期:2011-01-15 发布日期:2011-01-25

Vehicle routing problem with uncertain demand and travel time

HOU Ling-juan, ZHOU Hong, LIANG Chun-hua   

  1. School of Economics & Management, Beihang University, Beijing 100191, China
  • Online:2011-01-15 Published:2011-01-25

摘要: 针对一类不确定需求和旅行时间下的随机车辆路径问题,建立了一个随机规划模型,提出了一种带有自适应机制的改进遗传算法。该算法引入自适应选择机制,采用了新的交叉算子。选取两种不同规模的随机车辆调度问题,分别采用该算法和基于边重组的改进遗传算法进行求解,并通过对计算结果进行对比分析,分别针对自适应选择机制和新的交叉算子做了讨论。结果表明,所提算法不仅取得了更好的优化结果,而且具有更快的收敛速度。

关键词: 随机需求, 随机旅行时间, 随机规划模型, 车辆路径问题, 遗传算法, 自适应机制

Abstract: To study the stochastic Vehicle Routing Problems (VRP) with uncertain demand and travel time, a stochastic programming model was formulated and an improved genetic algorithm with self-adaptive mechanism was proposed for routes optimization. Self-adaptive selection mechanism was introduced for amending the fitness value to overcome the premature convergence effectively and a new crossover operator was developed in the algorithm. Computational simulations and comparisons based on two kinds of stochastic VRP problems with different size were provided. Results demonstrated that the proposed algorithm obtained better results with higher convergence speed.

Key words: stochastic demand, stochastic travel time, stochastic programming model, genetic algorithm, vehicle routing problem, genetic algorithm, self-adaptive mechanism

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