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

Małgorzata O’Reilly
Additional contact information
Małgorzata O’Reilly: School of Mathematics and Physics, University of Tasmania

Chapter Chapter 17 in Optimization, 2009, pp 327-342 from Springer

Abstract: 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. 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.

Keywords: Linear consecutive–k–out–of–n: F system; linear consecutive–k–out–of–n: G system; variant optimal design; singular design; nonsingular design (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-98096-6_17

Ordering information: This item can be ordered from
http://www.springer.com/9780387980966

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

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().