兼职辅助工作的机器维修模型  

The Machine-repair Model with Repairman's Performing Some Secondary Task

作　　者：高春燕[1] 田乃硕[1] 于艳辉[1] 孙微[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《运筹与管理》2006年第3期47-52,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(10271102)

摘　　要：本文研究了单修理工有效利用闲期兼职辅助工作的机器维修模型。这个模型被视为带休假策略的有限源排队问题,利用拟生灭过程的方法,给出了系统在稳态下机器故障数的分布和机器等待维修时间的分布,并将结果与经典的机器维修模型作了比较。We consider a machine-repair model with repairman＇s performing some secondary tasks in sparetime. In this paper, this model has been analyzed as a finite queue with vacation. Using the method of quasibirth and death process, we obtain the stationary distributions of the number of machine breakdown and the time that the break-down machine takes to wait for repair. And we compare the results with the classical machine-repair model.

关 键 词：机器维修模型 有限源排队 拟生灭过程 稳态分布 等待时间 

分 类 号：O226[理学—运筹学与控制论]