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....
CITATIONS (12):
1.
Analysis of reliability and preventive maintenance of wireless electrical vehicles charging station
Nikolay Madzharov, Prodan Prodanov
THERMOPHYSICAL BASIS OF ENERGY TECHNOLOGIES (TBET 2020)
Nikolay Madzharov, Prodan Prodanov
THERMOPHYSICAL BASIS OF ENERGY TECHNOLOGIES (TBET 2020)
2.
Predictive Scheduling with Markov Chains and ARIMA Models
Łukasz Sobaszek, Arkadiusz Gola, Edward Kozłowski
Applied Sciences
Łukasz Sobaszek, Arkadiusz Gola, Edward Kozłowski
Applied Sciences
3.
Reliability Analysis of Alarm Signals Transmitting Systems Used to Monitoring Buildings
Krzysztof Jakubowski, Jacek Paś
Journal of KONBiN
Krzysztof Jakubowski, Jacek Paś
Journal of KONBiN
4.
Semi-Markov Model of the System of Repairs and Preventive Replacements by Age of City Buses
Klaudiusz Migawa, Sylwester Borowski, Andrzej Neubauer, Agnieszka Sołtysiak
Applied Sciences
Klaudiusz Migawa, Sylwester Borowski, Andrzej Neubauer, Agnieszka Sołtysiak
Applied Sciences
5.
Study of Time for Preventive Maintenance of the Electronic Equipment
Prodan Prodanov, Dobroslav Dankov
2020 21st International Symposium on Electrical Apparatus & Technologies (SIELA)
Prodan Prodanov, Dobroslav Dankov
2020 21st International Symposium on Electrical Apparatus & Technologies (SIELA)
6.
Friction lining coefficient of the drive friction pulley
Krešák Krešák, Pavel Peterka, Ľubomír Ambriško, Martin Mantič
Eksploatacja i Niezawodnosc - Maintenance and Reliability
Krešák Krešák, Pavel Peterka, Ľubomír Ambriško, Martin Mantič
Eksploatacja i Niezawodnosc - Maintenance and Reliability
7.
Method for Calculating the Required Number of Transport Vehicles Supplying Aviation Fuel to Aircraft during Combat Tasks
Jarosław Ziółkowski, Józef Żurek, Jerzy Małachowski, Mateusz Oszczypała, Joanna Szkutnik-Rogoż
Sustainability
Jarosław Ziółkowski, Józef Żurek, Jerzy Małachowski, Mateusz Oszczypała, Joanna Szkutnik-Rogoż
Sustainability
8.
Simulation model for analysis and evaluation of selected measures of the helicopter’s readiness
Jarosław Ziółkowski, Jerzy Małachowski, Mateusz Oszczypała, Joanna Szkutnik-Rogoż, Jakub Konwerski
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
Jarosław Ziółkowski, Jerzy Małachowski, Mateusz Oszczypała, Joanna Szkutnik-Rogoż, Jakub Konwerski
Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering
9.
Simple mathematical model to predict the amount of energy produced in wind turbine - preliminary study
Sylwester Borowski, Agnieszka Soltysiak, Klaudiusz Migawa, Andrzej Neubauer, J. Musiał, M. Matuszewski, Ł. Muślewski, T. Kałaczyński
MATEC Web of Conferences
Sylwester Borowski, Agnieszka Soltysiak, Klaudiusz Migawa, Andrzej Neubauer, J. Musiał, M. Matuszewski, Ł. Muślewski, T. Kałaczyński
MATEC Web of Conferences
10.
Analysis of Probability States and Preventive Maintenance Assessment of HF Power Converter for Induction Heating Technologies
Prodan Prodanov
2020 XXIX International Scientific Conference Electronics (ET)
Prodan Prodanov
2020 XXIX International Scientific Conference Electronics (ET)
11.
Regression model in the operation of wind turbines
Sylwester Borowski, Klaudiusz Migawa, Agnieszka Sołtysiak, Andrzej Neubauer, Anna Mazurkiewicz, J. Musiał, Ł. Muślewski, T. Kałaczyński
MATEC Web of Conferences
Sylwester Borowski, Klaudiusz Migawa, Agnieszka Sołtysiak, Andrzej Neubauer, Anna Mazurkiewicz, J. Musiał, Ł. Muślewski, T. Kałaczyński
MATEC Web of Conferences
12.
Application of the logistic regression for determining transition probability matrix of operating states in the transport systems
Edward Kozłowski, Anna Borucka, Andrzej Świderski
Eksploatacja i Niezawodność – Maintenance and Reliability
Edward Kozłowski, Anna Borucka, Andrzej Świderski
Eksploatacja i Niezawodność – Maintenance and Reliability
RELATED ARTICLE
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.