研究多部件串联的离散时间Geometric/G/1可修排队系统的费用优化策略。假定顾客的到达时间和服务时间均服从几何分布。建立了以服务率为控制变量的系统的费用参数模型并推出了最优平均服务时间的明显表达式。通过数值计算实例分析了系统的参数对系统的最优平均服务时间和最优费用的影响。
In this paper, the optimal cost policy of the discrete time Geo/G/1 repairable system with multiple units in series is studied. It is assumed that the arrival time and service time are distributed geometrically. The cost model of the system is developed by taking the service rate as the control variable, and the optimal mean service time is explicitly derived. By numerical examples, the effects of the system parameters on the optimal mean service time and the optimal cost are analyzed.