基于优先使用权的温贮备可修重试系统可靠性与期望成本模型  

Reliability and expected cost model of warm standby repairable retrial system with priority in use

作　　者：康佳 胡林敏[1] 王妍 KANG Jia;HU Lin-min;WANG Yan(School of Science,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《控制与决策》2024年第4期1351-1360,共10页Control and Decision

基　　金：国家自然科学基金项目(72071175)。

摘　　要：针对具有两种不同类型部件的温贮备可修系统,基于优先使用权规则,将部件的重试特性和不可靠修理设备引入系统,建立一种新的系统可靠性和成本模型.失效部件由一个不可靠修理设备维修,当正常的修理设备维修失效部件时会发生不完全故障,此时,它或以一定的概率立即被维修,或以一定的概率继续低效维修失效部件.在不完全故障下,修理设备有可能发生完全性故障,完全性故障后会立即被维修.鉴于维修环境的随机波动性,利用PH分布对修理设备的修理时间进行建模,这在一定程度上拓展了模型的适用性.通过概率讨论得到稳态下系统的一些主要性能指标,构建单位时间的总期望成本函数,并就总期望成本关于各参数的敏感性进行分析.通过数值实例展示系统参数对系统稳态性能指标和系统成本的影响,为系统可靠性设计者和决策者提供理论支撑和参考.For the warm standby repairable system with two types of components,this paper introduces the retrial characteristics of components and unreliable repair facility into the system,and establishes a new system reliability and cost model based on the priority in use rule.Failed components are repaired by an unreliable repair facility.The repair facility may partially breakdown in normal busy state,then it can be immediately repaired with a certain probability or continue to provide service for failed components at a lower efficiency with a certain probability.The repair facility may occur completely breakdown during partially breakdown idle or busy state,and it will be immediately repaired after completely breakdown.Due to the random volatility of the maintenance environment,the PH distribution is used to model the repair time of failed components,which extends the applicability of the model to a certain extent.Some system steady-state performance indices are obtained by probability discussion,the expected total cost function per unit time of system is constructed,and the sensitivity of the expected total cost to each parameter is analyzed.The effect of various parameters on the steady-state performance indices and cost of the system is demonstrated by numerical results,which provides theoretical support and reference for system reliability designers and decision makers.

关 键 词：重试 不可靠修理设备 PH分布 稳态指标 期望成本 

分 类 号：TH17[机械工程—机械制造及自动化] O213[理学—概率论与数理统计]