基于排队论的卷烟生产物流服务台数量优化方法

Optimization method for number of logistics servicer stations in cigarette production based on queuing theory

为优化卷烟生产车间不同生产模式下自动导引小车(Automatic Guided Vehicle,AGV)服务台数量,基于M/G/∞排队模型描述随机服务系统,通过建立单元排队系统,并根据泊松分布的可加性质,推导出排队系统在变化顾客源规模下最优服务台数量的计算公式。仿真试验及配对比较表明,利用M/G/∞排队模型优化AGV服务台数量的准确率可达90%;当顾客源规模较小时,其预测的最优服务台数量会出现空闲现象,可在其预测值上减少1个服务台进行修正。应用该方法可获得不同生产规模下AGV服务台最优配置数量,有效提高卷烟生产物流系统的运行效率。

To optimize the number of automatic guided vehicle （AGV） servicer stations under different cigarette production modes, on the basis of the stochastic service system described by M/G/∞ queuing model, by establishing unit queuing system and taking into account the additivity of Poisson distribution, the formula for calculating the optimal number of servicer stations at different customer source scales was derived. Simulation test and paired comparison indicated that the accuracy of number of AGV servicer stations optimized by M/G/∞queuing model reached 90%; the model overestimated the actual needs by one service station when customer source scale was small. Adopting the proposed method could estimate the optimal number of servicer stations at different production scales and promote the running efficiency of logistics system for cigarette production effectively.