Reliability and importance measures for a general consecutive-type system. Issue 1 (2nd January 2021)

• Record Type: Journal Article
• Authors: Makri, Frosso S.; Psillakis, Zaharias M.
• Is Part Of: Quality technology & quantitative management. Volume 18:Issue 1(2021)
• Page Start: 1
• Page End: 19
• Publication Date: 2021-01-02
• Subjects: System reliability -- reliability importance measures -- consecutive systems -- independent components -- l-overlapping counting -- recursions -- simulation; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2020.1745368
• Languages: English
• ISSNs: 1684-3703

Abstract

ABSTRACT: A general consecutive-type system, called m -consecutive- k, ℓ -out-of- n :F system, is considered. Such a system consists of n linearly or circularly ordered components and fails if and only if there are at least m ℓ -overlapping runs of k consecutive failed components. For systems with statistically independent components, the system reliability is obtained via recursive schemes and simulation. Reliability importance measures for system components are calculated and analyzed as well. Illustrative analytic and numerical examples demonstrate further the theoretical results.