Reliability measures for a new general system using fuzzy non-homogenous Markov reward model under d-degradation levels

Abstract

Purpose

In this paper, new procedures for a fuzzy Markov reward model are introduced to find the reliability measures.

Design/methodology/approach

It is supposed that the introduced system consisted of n identical units connected in parallel and each unit has m different types of failures. Also, each unit of the system is allowed to have d levels of degradation from a working state to complete failure. Non-homogeneous Markov reward model is used to construct the system of differential equations of the model. Procedures are proposed to obtain reliability measures of the model under considering that the failure and repair rates of the systems unit are fuzzy. An application is constructed to analyze a system of 2-unit, and results are shown graphically.

Findings

Non-homogeneous Markov reward model is used to construct the system of differential equations of the model.

Originality/value

All papers in literature assumed Markov reward model with deterministic parameters. In this paper, a generalization of classical Markov reward model is introduced.

Citation

Temraz, N. (2020), "Reliability measures for a new general system using fuzzy non-homogenous Markov reward model under d-degradation levels", International Journal of Quality & Reliability Management, Vol. 37 No. 9/10, pp. 1301-1323. https://doi.org/10.1108/IJQRM-10-2018-0270