Availability Based Maintenance Analysis for System With Repair Time Threshold
Abstract
In this paper, we are observing a reparable system comprised of several components. The aim is to determine at which repair rate the system achieves the highest availability. To accomplish that, the procedure for the calculation of the repair rate in function of the desired level of availability for the system with a predetermined repair rate threshold is created. The presented approach is based on the exploration of the probability density function (PDF) of a system's repair time by observing the probability that repair rates of its components surpass a determined threshold. The obtained results can be applied in reliability theory, maintenance planning, and many other fields. To prove the application of the developed model, the results are verified by a numerical example for an unmanned vehicle system.
References
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A. Fatemeh, Failure Rate Analysis. Failure Analysis and Prevention, InTech, 2017.
M. Brown and F. Prochan, "Imperfect Repair," Journal of Applied Probability, vol. 20, no. 4. pp. 851-859, 1983.
L. Knopik and K. Migawa, "Optimal age-replacement policy for non-repairable technical objects with warranty," Eksploatacja i Niezawodnosc - Maintenance and Reliability, vol. 19, no. 2. pp. 172-178, 2017.
H. Pham and H. Wang, "Imperfect maintenance," European Journal of Operational Research, vol. 94, no. 3. pp. 425-438, 1996.
Q. Yang, N. Zhang and Y. Hong, "Reliability Analysis of Repairable Systems With Dependent Component Failures Under Partially Perfect Repair," IEEE Transactions on Reliability, vol. 62, no. 2. pp. 490-498, 2013.
G.-L. Liao, "Production and Maintenance Policies for an EPQ Model With Perfect Repair, Rework, Free-Repair Warranty, and Preventive Maintenance," IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 46, pp. 1129-1139, 2016.
C.-T. Chen and J. Yuan, "Throughput analysis using alternating renewal process in balanced serial production lines with no interstage buffers," Journal of the Chinese Institute of Engineers, vol. 20, no. 5. pp. 522-532, 2003.
A. D. Crescenso, "On random motions with velocities alternating at Erlang-distributed random times," Advances in Applied Probability, vol. 33, no. 3. pp. 690-701, 2001.
N. Kontrec, S. Panić, M. Petrović and H. Milošević, "A stochastic model for estimation of repair rate for system operating under performance based logistics," Eksploatacja i Niezawodnosc – Maintenance and Reliability, vol. 20, no. 1. pp. 68-72, 2018.
R. E. Mortensen, "Alternating renewal process models for electric power system loads," IEEE Transactions on Automatic Control, vol. 35, no. 11. pp. 1245-1249, 1990.
S. Shakuntla, A. Lal, S. Bhatia and J. Singh, "Reliability analysis of polytube industry using supplementary variable technique," Applied Mathematics and Computation, vol. 218, no. 8. pp. 3981-3992, 2011.
T. Yang, C. Cui, Y. Shen and Y. Lv, "A novel denitration cost optimization system for power unit boilers," Applied Thermal Engineering, vol. 96, pp. 400-410, 2016.
S. Shakuntla, U. M. Modibbo, M. Mijinyawa, S. Malik, S. Verma and P. Khurana, "Mathematical Model for Analysing Availability of Threshing Combine Machine Under Reduced Capacity," Yugoslav Journal of Operations Research, vol. 32, no. 4. pp. 425-437, 2022.
B. D. Jonge and P. A. Scarf, "A review on maintenance optimization", European Journal of Operational Research, vol. 285, no. 3. pp. 805-824, 2020.
Q. Qiu, B. Liu, C. Lin and J. Wang, "Availability analysis and maintenance optimization for multiple failure mode systems considering imperfect repair," Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, vol. 235, no. 6. pp. 982-997, 2021.
M. Jain and V. P. Singh, "Availability analysis of fault-tolerant degraded machining system with imperfect repair and multi-type failures," International Journal of Applied and Computational Mathematics, vol. 9, no. 3. pp. 35, 2023.
T. I. Pedersen, X. Liu and J. Vatn, "Maintenance optimization of a system subject to two-stage degradation, hard failure, and imperfect repair," Reliability Engineering & System Safety, vol. 237, pp. 109313, 2023.
S. M. Ross, Applied probability models with optimization applications, Reprint edition, Dover Publications, 1992.
N. Kontrec, S. Panić and M. Petrović, "System maintenance decision making based on repair rate statistics," in Proceedings of XIII Balcan Conference on Operational Research – BALCOR 2018, 25-28. May, Belgrade, Serbia, 2018.
N. Kontrec, S. Panić, B. Panić, A. Marković and D. Stošović, "Mathematical Approach for System Repair Rate Analysis Used in Maintenance Decision Making," Axioms, vol. 10, no. 2. pp. 96, 2021.
K. Kang, K. H. Doerr, M. Boudreau and U. Apte. A decision support model for valuing proposed improvements in component reliability. Monterey, California. Naval Postgraduate School, 2005.
Published
2025-02-20
How to Cite
KONTREC, Nataša; PANIĆ, Stefan; PANIĆ, Biljana.
Availability Based Maintenance Analysis for System With Repair Time Threshold.
Yugoslav Journal of Operations Research, [S.l.], feb. 2025.
ISSN 2334-6043.
Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1325>. Date accessed: 22 feb. 2025.
doi: https://doi.org/10.2298/YJOR240315003K.
Issue
Section
Research Articles
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
