A WEIBULL LIMIT LAW FOR THE FAILURE TIME OF CONSECUTIVE-k-OUT-OF-m-FROM-n:F SYSTEM-Reference-Cited by-同舟云学术

A WEIBULL LIMIT LAW FOR THE FAILURE TIME OF CONSECUTIVE-k-OUT-OF-m-FROM-n:F SYSTEM

Published:2006-10 Issue:05 Volume:13 Page:421-431
ISSN:0218-5393
Container-title:International Journal of Reliability, Quality and Safety Engineering
language:en
Short-container-title:Int. J. Rel. Qual. Saf. Eng.

Author:

GHORAF NAMIR¹,KSIR BRAHIM²

Affiliation:

1. Laboratoire de Mathématiques, UFR Sciences et techniques, 16 route de Gray, 25030 Besançon cedex, France

2. Department of Mathematics, Faculty of Sciences, Constantine University, Constantine 25000, Algeria

Abstract

A "consecutive-k-out-of-m-from-n:F system" consists of n linearly or cyclically ordered components. The system fails if and only if there exist m consecutive components among them at least k ones are failed. In this paper we consider such a system with identical components and we give under some conditions a good approximation for the unreliability of the system when the number of components becomes large. More precisely, the purpose of the present paper is to show that for any failure distribution of components the limit law of the system's unreliability is always of the Weibull class. Thus we generalize here the result given in the case when the failure distribution of components is of the Weibull. We give also some numerical examples.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218539306002355

Reference11 articles.

1. W. S. Griffith, Reliability and Quality Control, ed. A. P. Basu (Elsevier, North-Holland, 1986) pp. 157–165.

2. Reliability of a consecutive k-out-of-r-from-n:F system

3. Reliability of a large consecutive-k-out-of-r-from-n:F system with unequal component-reliability

4. A weibull limit for the reliability of a consecutive k-within-m-out-of-n system

5. The classes of asymptotic reliability functions for series-parallel and parallel-series systems

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