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The (k+1)-th component of linear consecutive-k-out-of-n systems

Citation

O'Reilly, MM, The (k+1)-th component of linear consecutive-k-out-of-n systems, Optimization and Its Applications, Springer, C Pearce and E Hunt (ed), New York, pp. 327-342. ISBN 978-0-387-98095-9 (2009) [Research Book Chapter]

Official URL: http://www.springerlink.com

DOI: doi:10.1007/978-0-387-98096-6_17

Abstract

¬© Springer Science+Business Media, LLC 2009.A linear consecutive‚Ä"k‚Ä"out‚Ä"of‚Ä"n:F system is an ordered sequence of n components that fails if and only if at least k consecutive components fail. A linear consecutive‚Ä"k‚Ä"out‚Ä"of‚Ä"n:G system is an ordered sequence of n components that works if and only if at least k consecutive components work. The existing necessary conditions for the optimal design of systems with 2k ‚ȧ n provide comparisons between reliabilities of components restricted to positions from 1 to k and positions from n to (n - k + 1). This chapter establishes necessary conditions for the variant optimal design that involve components at some other positions, including component (k+1). Procedures to improve designs not satisfying those conditions are also given.

Item Details

Item Type:Research Book Chapter
Research Division:Mathematical Sciences
Research Group:Statistics
Research Field:Stochastic Analysis and Modelling
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:O'Reilly, MM (Dr Malgorzata O'Reilly)
ID Code:63789
Year Published:2009
Deposited By:Mathematics
Deposited On:2010-05-31
Last Modified:2014-08-19
Downloads:0

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