部件串联的Geo/G/1可修排队系统的费用分析  

Cost analysis of the Geo/G/1 repairable system with units in series

作　　者：石天林[1] 岳德权[2] 

机构地区：[1]邢台学院数学系,河北邢台054001 [2]燕山大学理学院,河北秦皇岛066004

出　　处：《燕山大学学报》2008年第2期169-172,共4页Journal of Yanshan University

基　　金：国家自然科学基金(70671088)

摘　　要：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.

关 键 词：可修排队 部件串联 几何分布 服务时间 最优费用 

分 类 号：O226[理学—运筹学与控制论]