On the coherent systems subject to Marshall-Olkin type shocks

Murat Ozkut; Cihangir Kan

doi:10.36753/mathenot.621901

EN

On the coherent systems subject to Marshall-Olkin type shocks

Abstract

Coherent systems and Marshall-Olkin run shock models are combined. Coherent systems consisting of n components receive some kind of shocks from n+1 different sources similar to Marshall-Olkin type. More precisely, when the component j receives k consecutive fatal shocks from the source j or k consecutive fatal shocks from the source n+1, it fails, j = 1, …,n. When the interarrival time of shocks has phase-type distribution, reliability, mean time to failure (MTTF) and mean residual life (MRL) function of the coherent systems are studied. Numerical examples and graphical representations are provided.

Keywords

Phase-type distributions,Coherent system,Marshall-Olkin distribution,Reliability,Mean residual lifetime

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Murat Ozkut ^*
0000-0002-0699-892X
Türkiye

Cihangir Kan
0000-0002-3642-9509
China

Publication Date

March 20, 2020

Submission Date

September 19, 2019

Acceptance Date

March 23, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

DOI

https://doi.org/10.36753/mathenot.621901

IZ

https://izlik.org/JA64HB88TZ

APA

Ozkut, M., & Kan, C. (2020). On the coherent systems subject to Marshall-Olkin type shocks. Mathematical Sciences and Applications E-Notes, 8(1), 185-192. https://doi.org/10.36753/mathenot.621901

AMA

1.Ozkut M, Kan C. On the coherent systems subject to Marshall-Olkin type shocks. Math. Sci. Appl. E-Notes. 2020;8(1):185-192. doi:10.36753/mathenot.621901

Chicago

Ozkut, Murat, and Cihangir Kan. 2020. “On the Coherent Systems Subject to Marshall-Olkin Type Shocks”. Mathematical Sciences and Applications E-Notes 8 (1): 185-92. https://doi.org/10.36753/mathenot.621901.

EndNote

Ozkut M, Kan C (March 1, 2020) On the coherent systems subject to Marshall-Olkin type shocks. Mathematical Sciences and Applications E-Notes 8 1 185–192.

IEEE

[1]M. Ozkut and C. Kan, “On the coherent systems subject to Marshall-Olkin type shocks”, Math. Sci. Appl. E-Notes, vol. 8, no. 1, pp. 185–192, Mar. 2020, doi: 10.36753/mathenot.621901.

ISNAD

Ozkut, Murat - Kan, Cihangir. “On the Coherent Systems Subject to Marshall-Olkin Type Shocks”. Mathematical Sciences and Applications E-Notes 8/1 (March 1, 2020): 185-192. https://doi.org/10.36753/mathenot.621901.

JAMA

1.Ozkut M, Kan C. On the coherent systems subject to Marshall-Olkin type shocks. Math. Sci. Appl. E-Notes. 2020;8:185–192.

MLA

Ozkut, Murat, and Cihangir Kan. “On the Coherent Systems Subject to Marshall-Olkin Type Shocks”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, Mar. 2020, pp. 185-92, doi:10.36753/mathenot.621901.

Vancouver

1.Murat Ozkut, Cihangir Kan. On the coherent systems subject to Marshall-Olkin type shocks. Math. Sci. Appl. E-Notes. 2020 Mar. 1;8(1):185-92. doi:10.36753/mathenot.621901

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