Reliability of three-state k-out-of-n:G system with non-homogeneous Markov dependent components

Abdelmoumene Boulahia; Soheir Belaloui

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arXiv · 2501.09105

Reliability of three-state k-out-of-n:G system with non-homogeneous Markov dependent components

Abdelmoumene Boulahia·Soheir Belaloui

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Abstract

In this paper, we study the reliability of a three-state k-out-of-n:G system. We consider the situation where the system components are non-homogeneous Markov dependent, and we derive a closed-form formula for the system reliability, including increasing three-state k-out-of-n:G system and decreasing three-state k-out-of-n:G system. Our study is based on the probability generating function method. Two numerical examples are presented to demonstrate the use of the formula.

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BibTeX RIS

Abdelmoumene Boulahia, Soheir Belaloui. 2025-01-15. Reliability of three-state k-out-of-n:G system with non-homogeneous Markov dependent components. https://arxiv.org/abs/2501.09105

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