A Dynamic Reliability Analysis for the Conditional Number of Working Components within a Structure-Reference-Cited by-同舟云学术

A Dynamic Reliability Analysis for the Conditional Number of Working Components within a Structure

Published:2024-08-28 Issue:3 Volume:7 Page:906-923
ISSN:2571-905X
Container-title:Stats
language:en
Short-container-title:Stats

Author:

Triantafyllou Ioannis S.¹²^ORCID

Affiliation:

1. Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece

2. Department of Management Studies, Graphic Era Deemed to be University, Dehradun 248002, Uttarakhand, India

Abstract

In the present work, we study the number of working units of a consecutive-type structure at a specific time point under the condition that the system’s failure has not been observed yet. The main results of this paper offer some closed formulae for determining the distribution of the number of working components under the aforementioned condition. Several alternatives are considered for identifying the structure of the underlying system. The numerical investigation which is carried out takes into account different distributional assumptions for the lifetime of the components of the reliability system. Some concluding remarks and comments are provided for the performance of the resulting consecutive-type design.

Publisher

MDPI AG

Link

https://www.mdpi.com/2571-905X/7/3/55/pdf

Reference20 articles.

1. On the consecutive-k-out-of-n: F system;Derman;IEEE Trans. Reliab.,1982

2. Bedford, T., Quigley, J., Walls, L., Alkali, B., Daneshkhah, A., and Hardman, G. (2008). On the signature of coherent systems and applications for consecutive-k-out-of-n: F systems. Advances in Mathematical Modeling for Reliability, IOS Press.

3. Mean Residual Lifetimes of Consecutive-k-out-of-n Systems;Navarro;J. Appl. Probab.,2007

4. Failure rates of consecutive k-out-of-systems;Eryilmaz;J. Korean Stat. Soc.,2012

5. Survey of reliability studies of consecutive-k-out-of-n: F and related systems;Chao;IEEE Trans. Reliab.,1995