J4 ›› 2008, Vol. 19 ›› Issue (16): 0-2015.

• 制造系统 •    

多约束下多车场车辆路径问题的蚁群算法研究

陈美军;张志胜;史金飞   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-08-25 发布日期:2008-08-25

Study on Ant Colony Algorithm for Multi-depots Vehicle Routing Problem with Multiple Constraints

Chen Meijun;Zhang Zhisheng;Shi Jinfei   

  • Received:1900-01-01 Revised:1900-01-01 Online:2008-08-25 Published:2008-08-25

摘要:

为节约物流配送费用,提出一类多约束条件下的多车场车辆路径问题。首先建立了在有客户优先级、路况影响、多车型、时间窗和容量等多约束条件下车辆路径问题的数学模型;然后提出了一种自适应的最大-最小蚁群算法,算法结合自适应方法和最大-最小蚁群算法的优点,能适时地控制蚁群算法中的信息素更新过程,扩大搜索范围,避免基本蚁群算法易陷于早熟和“局部最优”以及求解速度慢的不足;最后通过一个实例与禁忌搜索算法进行了对比。实验结果表明:自适应的最大-最小蚁群算法在车辆数、路径长度、路径时间和计算速度方面具有优势。

关键词: 车辆路径问题;多车场;多约束;客户优先级;自适应的最大-最小蚁群算法

Abstract:

In order to save logistic distribution costs,a multi-depots vehicle routing problem with multiple constraints(MDVRPMC)was proposed.At first, a novel mathematical model to address the complicated issue of MDVRPMC was developed,the model took the clients’ priority levels,traffic condition influences,vehicle categories,time windows,and capacity constraints into consideration.And then,an adaptive max-min ant colony algorithm (A-MMACA) was proposed based on the combination of adaptive methods and ant colony algorithm with the maximal-minimal pheromone limit. A-MMACA possessed the ability to manipulate the pheromone updating process flexibly and expand the search scope.These characteristics keep A-MMACA away from the drawbacks of conventional ant colony algorithm (i.e., prematurity,local optimization,slow convergence speed).Finally,
a case study was presented to compare A-MMACA with Tabu-search algorithm and conventional ant colony optimum algorithm.The test results indicate that the proposed algorithm has more advantages than that of the fore mentioned algorithm in vehicle number,route length,route time,and computational speed for MDVRPMC.

Key words: vehicle routing problem;multi-depots;multiple constraint, clients&rsquo, priority level;adaptive max-min ant colony algorithm

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