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Component allocation for a distributed system: reliability maximization

Part of: Operations research and management science

Published online by Cambridge University Press:  14 July 2016

Mikhail Revyakov
Mikhail Revyakov*
Affiliation:
All-Union Research Institute of Electrical Measuring Instruments, St Petersburg
*
∗ Postal address: Budapeshtskaya 14–2–207, 192242 St. Petersburg, Russia.
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Abstract

An optimal allocation of subsystems depending on the system structure and reliability ordering of inherent subsystem components is determined, in the presence of various external influences on the reliability of components in different locations. It is carried out with the help of L-superadditive functions and Schur-convex functions.

Keywords

SERIES-PARALLEL SYSTEMPARALLEL-SERIES SYSTEML-SUPERADDITIVE FUNCTIONSSCHUR-CONVEX FUNCTIONS

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Type
Short Communications
Information
Journal of Applied Probability , Volume 30 , Issue 2 , June 1993 , pp. 471 - 477
Copyright
Copyright © Applied Probability Trust 1993 

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References

[1] El-Neweihi, E., Proschan, F. and Sethuraman, J. (1986) Optimal allocation of components in parallel-series and series-parallel systems. J. Appl. Prob. 23, 770–777.CrossRefGoogle Scholar
[2] Hardy, G., Littlewood, D. and Pólya, G. (1934) Inequalities. Cambridge University Press.Google Scholar
[3] Marshall, A. and Olkin, I. (1979) Inequalities: The Theory of Majorization and its Applications. Academic Press, New York.Google Scholar
[4] Revyakov, M.I. (1988) Optimal-for-reliability layout of redundant systems out of elements of different reliability. Tech. Cybernet. 6, 72–76 (in Russian).Google Scholar