Analysis of a \(k\)-out-of-\(N\) system with spares, repairs, and a probabilistic rule
type: Item
instance of: scholarly article
title: Analysis of a \(k\)-out-of-\(N\) system with spares, repairs, and a probabilistic rule
zbMATH Open document ID: 1170.90371
DOI: 10.1155/JAMSA/2006/39093
author: Srinivas R. Chakravarthy
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2008-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/55916
review text: Summary: We consider a \(k\)-out-of-\(N\) reliability system with identical components having exponential lifetimes. There is a single repairman who attends to failed components on a first-come first-served basis. The repair times are assumed to be of phase type. The system has \(K\) spares that can be used according to a probabilistic rule to extend the lifetime of the system. The system is analyzed using Markov chain theory and some interesting results are obtained. A few illustrative numerical examples are discussed.
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 90B05
zbMATH DE Number: 5312412
MaRDI profile type: Publication
cites work: On the interaction between maintenance, spare part inventories and repair capacity for a \(k\)-out-of-\(N\) system with wear-out
cites work: Finite birth-and-death models in randomly changing environments
cites work: Q3961697
cites work: Introduction to Matrix Analytic Methods in Stochastic Modeling
cites work: Q3923308
cites work: Non-negative matrices and Markov chains. 2nd ed
cites work: Q4324960
Recommended article: Analysis for a consecutive-k-out-of-n: F repairable system with priority in repair
Recommended article: Q5371730
Recommended article: Analysis of R-out-of-N repairable systems: the case of phase-type distributions
Recommended article: Analysis of a repairablek-out-of-n:Gsystem with repairman's multiple delayed vacations
Recommended article: Stability analysis of a k-out-of-N:G reparable system
Recommended article: Availability of an R-out-of-N system with spares and repairs
Recommended article: Q5364340
Recommended article: Q2983517
Recommended article: Probabilistic analysis of a redundant repairable system with two service operations
description: scientific article; zbMATH DE number 5312412