修理设备可更换的N-策略延迟不中断单重休假M/G/1可修排队系统分析  

Analysis of M/G/1 Repairable Queueing System with a Replaceable Repair Facility,N-policy and Delayed Uninterrupted Single Vacation

作　　者：何亚兴 唐应辉 刘琼琳 He Yaxing;Tang Yinghui;Liu Qionglin(School of Mathematical Sciences,Sichuan Normal University,Chengdu 610068)

机构地区：[1]四川师范大学数学科学学院,成都610068

出　　处：《数学物理学报（A辑）》2023年第2期625-645,共21页Acta Mathematica Scientia

基　　金：国家自然科学基金(71571127);四川师范大学学科建设专项项目(XKZX2021-04)。

摘　　要：该文考虑具有N-策略和延迟不中断单重休假的M/G/1可修排队系统,其中修理设备在修理故障服务台期间可发生故障且可更换.该文运用更新过程理论,全概率分解技术和拉普拉斯变换工具,讨论了服务台和修理设备的可靠性指标,比如服务台和修理设备的瞬态不可用度,稳态故障频度以及在时间(0,t]内的平均故障次数等,并且对服务台的稳态不可用度和稳态故障频度进行了参数敏感性分析.This paper considers an M/G/1 repairable queueing system with N-policy and delayed uninterrupted single vacation,in which the repair facility subject to breakdowns and then replaced during the repair facility busy period.By the renewal process theory,the total probability decomposition technique and the Laplace transform tool,some reliability indices of the service station and the repair facility are discussed,such as the transient-state and steadystate unavailability,and the expected failure number during(0,t],etc.,and the parameter sensitivity analysis is carried out on the steady-state unavailability and the steady-state failure frequency.

关 键 词：M/G/1可修排队系统 N-策略 延迟不中断休假 可靠性指标 参数敏感性分析 

分 类 号：O213.2[理学—概率论与数理统计]