Some New Reliability Quantities on M/G/1 Queueing System with Repairable Service Station

Tang Yinghui

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Some New Reliability Quantities on M/G/1 Queueing System with Repairable Service Station

更新时间：2025-12-08

- Some New Reliability Quantities on M/G/1 Queueing System with Repairable Service Station
- Acta Electronica Sinica Issue 4, (1995)
- 作者机构：
  
  成都电子科技大学
- 作者简介：
- 基金信息：
- DOI：
  CLC： O226
- Published：1995
- 稿件说明：
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[1]唐应辉.服务台可修的M／G／1排队系统──一些新的可靠性指标[J].电子学报,1995(04):70-73.

Tang Yinghui. Some New Reliability Quantities on M/G/1 Queueing System with Repairable Service Station[J]. Acta Electronica Sinica, 1995, (4).
[1]唐应辉.服务台可修的M／G／1排队系统──一些新的可靠性指标[J].电子学报,1995(04):70-73. DOI：

Tang Yinghui. Some New Reliability Quantities on M/G/1 Queueing System with Repairable Service Station[J]. Acta Electronica Sinica, 1995, (4). DOI：

摘要

本文进一步分析了服务台可修的Ｍ／Ｇ／１排队系统，获得忙期长度与此忙期中服务台失效次数的联合概率分布等一些新的可靠性指标，给出了计算时刻ｔ服务台失效的瞬时概率和（０，ｔ）中服务台的平均失效次数的近似表达式，最后用实例证明了其有效性。

Abstract

M/G/1 queueing system with repairable service station is further analyzed in this paper.some new reliability quantities of the service station are obtained

for example

the joint probability distribution of the busy period and the service station failure number in this busy period. Further

the asymptotic expressions for calculating the transient probability that the service station fails at the time t and the expected failure number in(0

and the calculating example for showing the validity of these asymptotic expressions are given.

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