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A multi-stage imperfect maintenance strategy for multi-state systems with variable user demands

Title
A multi-stage imperfect maintenance strategy for multi-state systems with variable user demands
Author
배석주
Keywords
Condition-based maintenance; Continuous time Markov chain; Imperfect maintenance; Multi-state systems; Nonhomogeneous Poisson process; Quasi-renewal process
Issue Date
2020-06
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Citation
COMPUTERS & INDUSTRIAL ENGINEERING, v. 145, article no. 106508
Abstract
The main purpose of this paper is to schedule an imperfect maintenance policy for a single unit multi-state system (MSS) exhibiting more than two output states in the duration of its multiple operation stages. Firstly, a nonhomogeneous continuous time Markov chain (NHCTMC) is introduced to describe the state evolution process when the number of external shocks is modeled by a nonhomogeneous Poisson process (NHPP), and state residence probabilities of the Markov process are derived via a proposed recursive algorithm (RA) in solving the Chapman-Kolmogorov (CK) differential equations. Based on those modeling approaches, reliability measures such as the survival function and mean time to first failure (MTTFF) are evaluated where the randomly varied user demands reflecting real industrial applications are taken into consideration. We subsequently put forward a multi-stage imperfect maintenance policy by dividing system output states into three subsets concerning different degrees of degradation, incorporating a condition-based maintenance (CBM) action and a corrective maintenance (CM) activity in each operation stage. It is assumed that the CBM is a minimal repair and the effectiveness of CM is imperfect. The system will not be completely replaced by a brand new one until the number of failures reaches N in light of the investigated maintenance policy, where the expected profit in per renewal cycle is maximized to seek the optimal N analytically. An illustrative example of a bulk power electric system is presented to verify the proposed idea numerically, in which three common types of demand distributions are introduced.
URI
https://www.sciencedirect.com/science/article/pii/S0360835220302424?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/167173
ISSN
0360-8352; 1879-0550
DOI
10.1016/j.cie.2020.106508
Appears in Collections:
COLLEGE OF ENGINEERING[S](공과대학) > INDUSTRIAL ENGINEERING(산업공학과) > Articles
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