MARKOV RELIABILITY MODELS OF SERIES SYSTEMS WITH REDUNDANCY AND REPAIR FACILITIES

被引：1

作者：

Zhernovyi, Yuriy ^{[1
]}

Kopytko, Bohdan ^{[2
]}

机构：

[1] Ivan Franko Natl Univ Lviv, Lvov, Ukraine

[2] Czestochowa Tech Univ, Dept Math, Czestochowa, Poland

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2021年 / 20卷 / 03期

关键词：

reliability; recoverable system; redundancy; series system; Markov models; mean time to failure; mean time between failures; mean downtime;

D O I：

10.17512/jamcm.2021.3.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use Markov models for studying the reliability of series systems with redundancy and repair facilities. We suppose that the units' time to failure and recovery times are exponentially distributed. We consider the cases when 1 <= c <= m and m +1 <= c <= m + n, for the system of n operating units, m unloaded redundant units and c repair facilities. Using the exponential distributions properties, we obtain stationary reliability indices of the series systems: steady-state probabilities, a stationary availability coefficient, mean time to failure, mean time between failures and mean downtime.

引用

页码：89 / 96

页数：8

共 5 条

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Zhernovyi, Yu. V.
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[4] RELIABILITY ASSESSMENT OF A SERIES SYSTEM WITH REDUNDANCY AND REPAIR FACILITIES
Zhernovyi, Yuriy
Kopytko, Bohdan
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2020, 19 (03) : 123 - 131
[5] CALCULATING STEADY-STATE PROBABILITIES OF SINGLE-CHANNEL CLOSED QUEUEING SYSTEMS USING HYPEREXPONENTIAL APPROXIMATION
Zhernovyi, Yuriy
Kopytko, Bohdan
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2020, 19 (01) : 113 - 120

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