RESEARCH PAPER
Semi-Markov system model for minimal repair maintenance
1
Faculty of Management UTP University of Science and Technology ul. Fordońska 430, 85-890 Bydgoszcz, Poland
2
Faculty of Mechanical Engineering UTP University of Science and Technology Al. prof. S. Kaliskiego 7, 85-796 Bydgoszcz, Poland
Publication date: 2019-06-30
Eksploatacja i Niezawodność – Maintenance and Reliability 2019;21(2):256-260
KEYWORDS
age-replacementminimal repairperfect repairprofit per time unitavailabilitysemi-Markov processespreventive maintenancecorrective maintenance
ABSTRACT
This paper analyzes the semi-Markov model of technical objects age-replacements. The model includes two types of repairs:
perfect repairs and minimal repairs. Minimal repairs in semi-Markov models have been studied in literature only to an extent. In
this paper, the asymptotic availability coefficient and profit per time unit are considered as criteria for the quality of the system
operation. The paper formulates various conditions for the occurrence of the maximum of criteria functions. The two numerical
examples given at the end of the paper illustrate the results obtained in the paper
REFERENCES (17)
1.
Block H W, Borges W, Savits T H. Age-dependent minimal repair. Journal of Applied Probability 1985; 22: 370-386, https://doi.org/10.2307/321378....
2.
Brown M, Prochan F. Imperfect Repair. Journal of Applied Probability 1983; 20: 851-859, https://doi.org/10.2307/321359....
3.
Chan P K W, Downs T. Two criteria for preventive maintenance. IEEE Transaction on Reliability 1978; 27: 272-273, https://doi.org/10.1109/TR.197....
4.
Chang C C, Sheu S H, Chen Y L, Zhang Z G. A multi-criteria optimal replacement policy for a system subject to shocks. Computer and Industrial Engineering 2011; 61: 1035-1043, https://doi.org/10.1016/j.cie.....
5.
Chang C C, Sheu S H, Chen Y L. A bivariate optimal replacement policy for system with age-dependent minimal repair and cumulative repaircost limit. Communications in statistics – Theory and methods 2013; 42(22): 4108-4126, https://doi.org/10.1080/036109....
6.
Chin-Chih, Chang. Optimum preventive maintenance policies for system subject to random working time, replacement, and minimal repair. Computers & Industrial Engineering 2014; 67: 185-194, https://doi.org/10.1016/j.cie.....
7.
Grabski F. Semi-markowskie modele niezawodności i eksploatacji [Semi-Markov models of reliability and maintenance]. Warszawa: IBS PAN, 2002.
8.
Grabski F. Semi-Markov Processes: Applications in System Reliability and Maintenance. Elsevier, Amsterdam, 2014.
9.
Knopik L. Some results on ageing class. Control and Cybernetics 2005; 34(4): 1175-1180.
10.
Knopik L. Characterization of a class of lifetime distributions. Control and Cybernetics 2006; 35(2): 1175-1180.
11.
Knopik L, Migawa K. Multi-state model of maintenance policy. Eksploatacja i Niezawdonosc - Maintenance and Reliability 2018; 20(1): 125-130, https://doi.org/10.17531/ein.2....
12.
Knopik L, Migawa K. Optimal age-replacement policy for non-repairable technical objects with warranty. Eksploatacja i Niezawodnosc - Maintenance and Reliability 2017; 19(2): 172-178, https://doi.org/10.17531/ein.2....
13.
Pham H, Wang H. Imperfect maintenance. European Journal of Operational Research 1996; 94: 425-438, https://doi.org/10.1016/S0377- 2217(96)00099-9.
14.
Pham H, Wang H. Probability and Optimal Maintenance. Springer Verlag, London, 2006.
15.
Tadj L, Ouali M S, Yacount S, Ait-Kadi D. Replacement Models with minimal Repair, Chapter: A Survey of Replacement Models with Minimal Repair, Springer Verlag, London, 2011, https://doi.org/10.1007/978-0-....
16.
Xia, Xi, Zhou. Modeling and optimizing maintenance schedule for energy systems subject to degradation. Computer and Industrial Engineering 2012; 63(3): 607-614, https://doi.org/10.1016/j.cie.....
17.
Xu, Chen, Yang. Optimal replacement policy for safety-related multi-component multi-state systems. Reliability Engineering and System Safety 2012; 99: 87-95, https://doi.org/10.1016/j.ress....
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| eISSN: | 2956-3860 |
| ISSN: | 1507-2711 |
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