修理工多重休假可修系统的年龄更换策略  

Age Replacement Policy for Repairable System with Repairman's Multiple Va-cations

作　　者：毋文峰 陈小虎 袁晓静 马爽 Wu Wenfeng;Chen Xiaohu;Yuan Xiaojing

机构地区：[1]西安外事学院工学院,陕西省西安市710077 [2]火箭军工程大学作战保障学院 [3]火箭军装备部驻长治地区军事代表室

出　　处：《工程机械》2023年第11期40-45,I0011,共7页Construction Machinery and Equipment

基　　金：西安外事学院高层次人才启动基金(XAIU202101,XAIU202102);全军综合研究项目(JJ20201C070401);全军装备维修改革课题(WJ2020015)。

摘　　要：针对修理工多重休假可修系统提出一种年龄更换策略。假定系统“修复非新”和修理工多重休假,且系统依概率在工作状态、待修状态和故障维修状态时达到系统的有效年龄,以系统的有效年龄为维修更换策略,分别以系统经长期运行单位时间内的平均停机时间最小和期望效益最大为目标,利用几何过程和更新过程理论建立数学模型并求出解析表达式,从而求出最优维修更换策略。该年龄更换策略对于工程实践具有一定的指导意义和参考价值。An age replacement policy is proposed for the repairable system with repairman's multiple vacations.Assuming that the system is"repaired but not new"and the repairman takes multiple vacations,and that the system reaches the effective age based on the probability in the states of working,pending andfault repair,and taking the effective age of the system as the repair and replacement policy,with the objectives of minimizing themean downtime and maximizingtheexpected benefit of the system in per unit time of long-term operation,thegeometric process and renewal process theory are used to establish a mathematical model and find the analytical expression to obtain the optimal repair and replacement policy.The age replacement policy has certain guiding significance and reference value for engineering practice.

关 键 词：可修系统 多重休假 更换策略 平均停机时间 期望效益 

分 类 号：O213.2[理学—概率论与数理统计]