G-混合冗余策略下多状态可修系统的可靠性  

Reliability of multi-state repairable systems under G-mixedredundancy strategy

作　　者：温艳清 刘宝亮 师海燕 邱青安 高采文 WEN Yanqing;LIU Baoliang;SHI Haiyan;QIU Qing’an;GAO Caiwen(College of Mathematics and Statistics,Shanxi Datong University,Datong 037009,China;School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]山西大同大学数学与统计学院,山西大同037009 [2]北京理工大学管理与经济学院,北京100081

出　　处：《系统工程与电子技术》2024年第7期2383-2392,共10页Systems Engineering and Electronics

基　　金：国家自然科学基金(72371030,71601101,72001026);山西省基础研究计划(20210302124310);山西省高等学校科技创新计划(2022L415);山西省研究生教育创新计划(2023XJG004);山西师范大学人文社科基金(RWSK2307)资助课题。

摘　　要：本文对G-混合冗余策略下可修系统的可靠性进行了研究,该系统由4个部件和1个修理工组成,修理工采用多重休假策略,以使人力资源得到充分利用。模型中各类随机变量用PH(phase-type)分布来描述,由此建立了通用性较好的系统可靠性模型,并运用矩阵分析的方法推导出系统在瞬态和稳态情形下的一些可靠性指标。最后,通过数值算例验证了模型的适用性,并对G-混合冗余策略下系统的可靠性与K-混合冗余策略下系统的可靠性进行了比较。结果表明,所提出的可靠性模型在G-混合冗余策略下的可靠性明显高于在K-混合冗余策略下的可靠性。In this paper,the reliability for a repairable system under G-mixed redundancy strategy is investigated.The system consists of four components and a repairman,in which the multiple vacation policy of the repairman is adopted so that the human resources can be fully utilized.The phase-type(PH)distribution is used to describe various random variables in the model.A system reliability model with better commonality is developed,and some reliability indexes of the system are obtained in both transient and stationary regimes by employing matrix-analytic method.Finally,the applicability of the model is verified by numerical examples,and the system reliability under G-mixed redundancy strategy is compared with that under K-mixed redundancy strategy.The results show that the proposed reliability model under G-mixed redundancy strategy is significantly higher than that under the K-mixed redundancy strategy.

关 键 词：PH分布 多重休假 G-混合冗余策略 可修系统 

分 类 号：F254.3[经济管理—国民经济] O213[理学—概率论与数理统计]