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Optimal allocation of resources to nodes of parallel and series systems

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  01 July 2016

Moshe Shaked  and
J. George Shanthikumar
Moshe Shaked*
Affiliation:
University of Arizona
J. George Shanthikumar*
Affiliation:
University of California, Berkeley
*
∗Postal address: Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA.
∗∗Postal address: Walter A. Haas School of Business, University of California, Berkeley, CA 94720, USA.
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Abstract

In this paper we consider parallel and series systems, the components of which can be ‘improved'. The ‘improvement' consists of supplying the components with cold or hot standby spares or by allotting to them fixed budgets for minimal repairs. A fixed total resource of spares or minimal repairs is available. We find the optimal allocation of the resource items in several commonly encountered settings.

Keywords

MINIMAL REPAIRSHOT AND COLD STANDBY SPARESOPTIMAL RESOURCE ALLOCATIONMAJORIZATION, SCHUR-CONVEXITY AND CONCAVITYSTOCHASTIC ORDERLIKELIHOOD RATIO ORDERINCREASING FAILURE RATELOGCONCAVITYNON-HOMOGENEOUS POISSON PROCESSRELIABILITY THEORY

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Advances in Applied Probability , Volume 24 , Issue 4 , December 1992 , pp. 894 - 914
Copyright
Copyright © Applied Probability Trust 1992 

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Footnotes

Research supported by the Air Force Office of Scientific Research, USAF, under Grant AFOSR-84–0205.

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