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

Abstract

Abstract:

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 steady-state 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.

Key words: $M/G/1$ repairable queueing system, $N$-policy, Delayed uninterrupted vacation, Reliability index, Parameter sensitivity analysis

CLC Number:

O213.2

He Yaxing, Tang Yinghui, Liu Qionglin. Analysis of ${M/G/1}$ Repairable Queueing System with a Replaceable Repair Facility, ${N}$-policy and Delayed Uninterrupted Single Vacation[J].Acta mathematica scientia,Series A, 2023, 43(2): 625-645.

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

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