Consecutive-k1 and k2-out-of-n: F Structures with a Single Change Point

Author:

Triantafyllou Ioannis S.12ORCID,Chalikias Miltiadis3

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

3. Department of Accounting and Finance, University of West Attica, 12244 Egaleo, Greece

Abstract

In the present paper, we establish a new consecutive-type reliability model with a single change point. The proposed structure has two common failure criteria and consists of two different types of components. The general framework for constructing the so-called consecutive-k1 and k2-out-of-n: F system with a single change point is launched. In addition, the number of path sets of the proposed structure is determined with the aid of a combinatorial approach. Moreover, two crucial performance characteristics of the proposed model are studied. The numerical investigation carried out reveals that the behavior of the new structure is outperforming against its competitors.

Publisher

MDPI AG

Subject

Statistics and Probability

Reference20 articles.

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3. On the signature of coherent systems and applications;Triantafyllou;Probab. Eng. Inf. Sci.,2008

4. Basu, A.P. (1986). Reliability and Quality Control, Elsevier.

5. A rearrangement inequality for the longest run, with an application to network reliability;Tong;J. Appl. Probab.,1985

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