服务员休假的M/M/1生产服务库存模型的性能与费用分析

Performance and Cost Analysis of M/M/1 Production Service Inventory Model for Server’s Vacation

研究了带有服务员休假的M/M/1生产服务库存系统.首先,利用拟生灭过程理论得到稳态概率的矩阵几何解,在此基础上,进一步得到了与本模型有关的一些性能指标和费用函数的计算公式;然后数值分析了系统参数对于相关性能指标和系统费用的影响.

This paper examines the M/M/1 production service inventory system with server’s vacation.Firstly,the matrix geometric solution of steady-state probability is obtained by using the quasi-birth-and-death process theory.Based on this,some performance indexes and cost function related to this model are obtained.Then the effect of system parameters on the performance indexes and the cost function are analyzed.