Analysis of a parallel system with two different units
type: Item
instance of: scholarly article
title: Analysis of a parallel system with two different units
zbMATH Open document ID: 0886.60086
DOI: 10.1007/BF02029069
author: Yeh Lam
author: Yuanlin Zhang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1998-05-04T00:00:00Z
review text: The authors have discussed a parallel repairable model consisting of two units and one repairman. The working time and the repair time of the two units are all exponentially distributed. It is assumed that one unit after repair will be as good as new but the other is not. Further it is assumed that the working time of the one unit is a decreasing geometric process and the repair time is an increasing geometric process. For the second unit both working time and repair time are exponentially and independently distributed random variables. Using supplementary variable technique, a system of difference differential equations is derived and analysed through Laplace transform technique. Some of the reliability characteristics such as availability, reliability, the rate of occurrence of failure and the idle probability of the repairman are analysed. A known particular case when \(a=b=1\) has been deduced.
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 1062666
zbMATH Keywords: geometric process
zbMATH Keywords: supplementary variable
zbMATH Keywords: availability and reliability
reviewed by: V. Thangaraj
MaRDI profile type: Publication
cites work: Q4158362
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full work available at URL: https://doi.org/10.1007/bf02029069
OpenAlex ID: W2032628344
description: scientific article; zbMATH DE number 1062666