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Stochastic order for redundancy allocations in series and parallel systems

Part of: Survival analysis and censored data Operations research and management science

Published online by Cambridge University Press:  01 July 2016

Philip J. Boland ,
Emad El-Neweihi  and
Frank Proschan
Philip J. Boland*
Affiliation:
University College, Dublin
Emad El-Neweihi*
Affiliation:
University of Illinois at Chicago
Frank Proschan*
Affiliation:
The Florida State University
*
∗Postal address: Department of Statistics, University College, Belfield, Dublin 4, Ireland.
∗∗Postal address: Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60680, USA.
∗∗∗Postal address: Department of Statistics, The Florida State University, Tallahassee, FL 32306–3033, USA.
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Abstract

The problem of where to allocate a redundant component in a system in order to optimize the lifetime of a system is an important problem in reliability theory which also poses many interesting questions in mathematical statistics. We consider both active redundancy and standby redundancy, and investigate the problem of where to allocate a spare in a system in order to stochastically optimize the lifetime of the resulting system. Extensive results are obtained in particular for series and parallel systems.

Keywords

ACTIVE REDUNDANCYREDUNDANCY IMPORTANCESTANDBY REDUNDANCYORDER STATISTICSREVERSE RULE OF ORDER 2TOTAL POSITIVITY

MSC classification

Primary: 62N05: Reliability and life testing
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Research Article
Information
Advances in Applied Probability , Volume 24 , Issue 1 , March 1992 , pp. 161 - 171
Copyright
Copyright © Applied Probability Trust 1992 

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Footnotes

Research supported in part by AFOSR Grant No. 88–0040.

Research supported by AFOSR Grant Nos 89–0221 and 88–0040.

Research supported by Air Force Office of Scientific Research under Grant No. AFOSR 88–0040.

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