A Note on the Time to Failure of a Two-Unit Parallel Redundant System with Deterioration on a Lattice

被引：3
|
作者：
Dohi, Tadashi [1 ]
Zheng, Junjun [2 ]
Okamura, Hiroyuki [1 ]
机构：
[1] Hiroshima Univ, Dept Informat Engn, 1-4-1 Kagamiyama, Higashihiroshima 7398527, Japan
[2] Ritsumeikan Univ, Dept Informat Sci & Engn, 1-1-1 Nojihigashi, Kusatsu 5258577, Japan
来源：
INTERNATIONAL JOURNAL OF MATHEMATICAL ENGINEERING AND MANAGEMENT SCIENCES | 2021年 / 6卷 / 01期
关键词：
Two-unit parallel redundant system; Marshall-Olkin bivariate exponential distribution; Time to system failure; Laplace transform; Deterioration on a lattice; STOCHASTIC-ANALYSIS; STANDBY SYSTEM; REPAIR; AVAILABILITY;
D O I：
10.33889/IJMEMS.2021.6.1.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider a two-unit parallel redundant system with deterioration on a lattice, where each unit has multi-stage deterioration levels, say, n levels. The transition from one deterioration level to the subsequent level occurs following the well-known Marshall-Olkin bivariate exponential distribution. We derive the closed form of the Laplace transform of the time to system failure in the two-unit parallel redundant system with deterioration on n x n lattice without repair and simultaneous failure, as well as the simple system on 3 x 3 lattice.
引用
收藏
页码：3 / 14
页数：12
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