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

In: Optimization

Author

Listed:
  • Małgorzata O’Reilly

    (School of Mathematics and Physics, University of Tasmania)

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.

Suggested Citation

  • Małgorzata O’Reilly, 2009. "Optimal design of linear consecutive–k–out–of–n systems," Springer Optimization and Its Applications, in: Charles Pearce & Emma Hunt (ed.), Optimization, edition 1, chapter 0, pages 307-326, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-98096-6_16
    DOI: 10.1007/978-0-387-98096-6_16
    as

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