On the availability of R out of N repairable systems

Esther Frostig; Benny Levikson

doi:10.1002/nav.10025

On the availability of R out of N repairable systems

Esther Frostig, Benny Levikson

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

An R out of N repairable system consisting of N components and operates if at least R components are functioning. Repairable means that failed components are repaired, and upon repair completion they are as good as new. We derive formulas for the expected up-time, expected down-time, and the availability of the system, using Markov renewal processes. We assume that either the repair times of the components are generally distributed and the components' lifetimes are exponential or vice versa. The analysis is done for systems with either cold or warm stand-by. Numerical examples are given for several life time and repair time distributions.

Original language	English
Pages (from-to)	483-498
Number of pages	16
Journal	Naval Research Logistics
Volume	49
Issue number	5
DOIs	https://doi.org/10.1002/nav.10025
State	Published - Aug 2002

Keywords

Availability
Cold stand-by
Markov renewal process
R out of N systems
Warm stand-by

ASJC Scopus subject areas

Modeling and Simulation
Ocean Engineering
Management Science and Operations Research

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10.1002/nav.10025

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On the availability of R out of N repairable systems

Abstract

Keywords

ASJC Scopus subject areas

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