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

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posted on 2023-05-22, 12:26 authored by Malgorzata O'ReillyMalgorzata O'Reilly
© Springer Science+Business Media, LLC 2009.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. The existing necessary conditions for the optimal design of systems with 2k ≤ 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.

History

Publication title

Optimization and Its Applications

Volume

32

Editors

C Pearce and E Hunt

Pagination

327-342

ISBN

978-0-387-98095-9

Department/School

School of Natural Sciences

Publisher

Springer

Place of publication

New York

Extent

21

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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