Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making
Abstract
Reliability, the number of spare parts and repair time have a great impact on system availability. In this paper, we observed a repairable system comprised of several components. The aim was to determine the repair rate by emphasizing its stochastic nature. A model for the statistical analysis of the component repair rate in function of the desired level of availability is presented. Furthermore, based on the presented model, the approach for the calculation of probability density functions of maximal and minimal repair times for a system comprised of observed components was developed as an important measure that unambiguously defines the total annual repair time. The obtained generalized analytical expressions that can be used to predict the total repair time for an observed entity are the main contributions of the manuscript. The outputs of the model can be useful for making decisions in which time interval repair or replacement should be done to maintain the system and component ava...ilability. In addition to planning maintenance activities, the presented models could be used for service capacity planning and the dynamic forecasting of system characteristics.
Keywords:
repair rate / probability / mathematical modeling / maintenance / availabilitySource:
Axioms, 2021, 10, 2Publisher:
- MDPI, Basel
Funding / projects:
- Faculty of Sciences and Mathematics, University of Priitna in Kosovska Mitrovica [IJ-0203]
DOI: 10.3390/axioms10020096
ISSN: 2075-1680
WoS: 000665163800001
Scopus: 2-s2.0-85107180648
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Institution/Community
Fakultet organizacionih naukaTY - JOUR AU - Kontrec, Nataša AU - Panić, Stefan AU - Panić, Biljana AU - Marković, Aleksandar AU - Stosović, Dejan PY - 2021 UR - https://rfos.fon.bg.ac.rs/handle/123456789/2172 AB - Reliability, the number of spare parts and repair time have a great impact on system availability. In this paper, we observed a repairable system comprised of several components. The aim was to determine the repair rate by emphasizing its stochastic nature. A model for the statistical analysis of the component repair rate in function of the desired level of availability is presented. Furthermore, based on the presented model, the approach for the calculation of probability density functions of maximal and minimal repair times for a system comprised of observed components was developed as an important measure that unambiguously defines the total annual repair time. The obtained generalized analytical expressions that can be used to predict the total repair time for an observed entity are the main contributions of the manuscript. The outputs of the model can be useful for making decisions in which time interval repair or replacement should be done to maintain the system and component availability. In addition to planning maintenance activities, the presented models could be used for service capacity planning and the dynamic forecasting of system characteristics. PB - MDPI, Basel T2 - Axioms T1 - Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making IS - 2 VL - 10 DO - 10.3390/axioms10020096 UR - conv_2511 ER -
@article{ author = "Kontrec, Nataša and Panić, Stefan and Panić, Biljana and Marković, Aleksandar and Stosović, Dejan", year = "2021", abstract = "Reliability, the number of spare parts and repair time have a great impact on system availability. In this paper, we observed a repairable system comprised of several components. The aim was to determine the repair rate by emphasizing its stochastic nature. A model for the statistical analysis of the component repair rate in function of the desired level of availability is presented. Furthermore, based on the presented model, the approach for the calculation of probability density functions of maximal and minimal repair times for a system comprised of observed components was developed as an important measure that unambiguously defines the total annual repair time. The obtained generalized analytical expressions that can be used to predict the total repair time for an observed entity are the main contributions of the manuscript. The outputs of the model can be useful for making decisions in which time interval repair or replacement should be done to maintain the system and component availability. In addition to planning maintenance activities, the presented models could be used for service capacity planning and the dynamic forecasting of system characteristics.", publisher = "MDPI, Basel", journal = "Axioms", title = "Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making", number = "2", volume = "10", doi = "10.3390/axioms10020096", url = "conv_2511" }
Kontrec, N., Panić, S., Panić, B., Marković, A.,& Stosović, D.. (2021). Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making. in Axioms MDPI, Basel., 10(2). https://doi.org/10.3390/axioms10020096 conv_2511
Kontrec N, Panić S, Panić B, Marković A, Stosović D. Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making. in Axioms. 2021;10(2). doi:10.3390/axioms10020096 conv_2511 .
Kontrec, Nataša, Panić, Stefan, Panić, Biljana, Marković, Aleksandar, Stosović, Dejan, "Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making" in Axioms, 10, no. 2 (2021), https://doi.org/10.3390/axioms10020096 ., conv_2511 .