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Optimization pp 307–326Cite as

Optimal design of linear consecutive–k–out–of–n systems

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 32))

Abstract

A linear consecutive–k–out–of–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–k–out–of–n:G system is an ordered sequence of n components that works if and only if at least k consecutive components work. This chapter establishes necessary conditions for the variant optimal design and procedures to improve designs not satisfying these conditions for linear consecutive systems with 2k≤ n ≤ 3k.

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  1. School of Mathematics and Physics, University of Tasmania, Hobart, TAS 7001, Australia

    Małgorzata O’Reilly

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    O’Reilly, M. (2009). Optimal design of linear consecutive–k–out–of–n systems. In: Pearce, C., Hunt, E. (eds) Optimization. Springer Optimization and Its Applications, vol 32. Springer, New York, NY. https://doi.org/10.1007/978-0-387-98096-6_16

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