• 论文 •    

随机动态装卸车辆路径问题的启发式求解策略及仿真研究

陈久梅,张旭梅,肖剑,   

  1. 1.重庆大学 经济与工商管理学院,重庆400044;2.重庆工商大学 商务策划学院,重庆400067;3.重庆大学 数理学院,重庆400044
  • 出版日期:2009-08-15 发布日期:2009-08-25

Heuristics policies and simulation for the stochastic dynamic pick-up and delivery vehicle routing problem

CHEN Jiu-mei,ZHANG Xu-mei,XIAO Jian,   

  1. 1.College of Economics & Business Administration, Chongqing University,Chongqing 400044, China;2.Strategical Planning Department,Chongqing Technology & Business University, Chongqing 400067,China;3.College of Mathematics & Physics, Chongqing University, Chongqing 400044, China
  • Online:2009-08-15 Published:2009-08-25

摘要: 以同时最小化顾客期望等待时间和车辆期望等待时间为目标函数,建立了随机动态装卸车辆路径问题的数学模型,提出了求解该问题的两种启发式求解策略——最近邻策略和堆栈策略,推导出两种策略总期望等待时间的上界,并对两种策略在不同需求情形下的表现,以及目标函数与参数之间的关系进行了仿真。仿真结果表明,需求密集和需求稀少时最近邻策略优于堆栈策略,需求中等时堆栈策略优于最近邻策略;两种策略分别存在最优服务强度,且最近邻策略的最优服务强度大于堆栈策略的最优服务强度;堆栈策略存在最优堆栈长度,且最优堆栈长度同时受服务强度和顾客平均到达率的影响。

关键词: 随机动态装卸, 车辆路径问题, 启发式策略, 排队论

Abstract: A mathematical model of the stochastic dynamic pick-up and delivery vehicle routing problem was established, with minimizing the expected waiting time of customers and that of vehicles simultaneously as the objective function. Two heuristics policies, the nearest neighbor policies and the stacker crane policies, were proposed to solve this problem. The upper bounds of the two policies were calculated. A simulation was carried out to analyze the performance of the two policies under different traffic intensity circumstances and to analyze the relationship between the objective function and parameters of each strategy. The simulation showed that the nearest neighbor strategy was superior to the stacker crane strategy when the traffic intensity was light and heavy, otherwise the stacker crane strategy was better; each strategy had its own optimal traffic intensity, and the optimal traffic intensity of nearest neighbor strategy was bigger than that of stacker crane strategy; stacker crane strategy had an optimal stack length, which was impacted by the traffic intensity and the average arrival rate of customers at the same time.

Key words: stochastic dynamic pick-up, delivery vehicle routing problem, heuristics policies, queuing theory, simulation

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