修理工单重休假可修系统优化管理研究

针对修理工带有单重休假的单部件可修系统,提出了一种新的维修更换模型.假定系统是可修的,在系统逐次故障后的维修时间构成随机递增的几何过程,系统工作时间和修理工休假时间构成随机递减几何过程的情况下,选取系统的总工作时间T和故障维修次数N为更换策略,以长期运行单位时间内的期望效益为目标函数,通过更新过程和几何过程理论建立数学模型,分别导出了目标函数的解析表达式.还在一定条件下证明了策略N比策略T优,并通过数值例子验证了该方法的有效性.最后,还对结果进行了讨论.

Research of the Optimal Management for Repairable System with Single Repairman Vacation

To study one unit repairable system with single repairman vacation,this paper proposes a kind of new maintenance and replacement model.Supposing that the system is repairable,under that the consecutive repair time of the system constitute an increasing geometric process,while the successive survival time of the system and the repairman every vacation time constitute a decreasing geometric process stochastically,we consider two kinds of replacement policies based on the working age T and the failure number N for the system and choose the long-run expected profit per unit time as objective function,and establish mathematic models by using renewal process and geometric process theory,the explicit expressions of the objective function are respectively derived.Under the some conditions,we derive that the policy N is better than the policy T and validate the effectiveness of the method through a numerical example also.Finally,we discuss the results.