Reliability Modeling and Profit Analysis of a Warm Standby Centrifuge System with Tired Repairman and Imperfect Repair
DOI:
https://doi.org/10.29070/39s2r810Keywords:
Reliability modeling, Warm standby system, Repairman fatigue, Imperfect repair, Profit optimizationAbstract
This paper displays the reliability modeling and profit maximization of a two-unit warm standby centrifuge system having one repairman. The model takes into account two realistic factors, fatigue of repairman, which will decrease repair efficiency with time, and imperfect repair, in which the repaired unit will not necessarily be able to reach full performance. Reliability measures related to the system availability, mean time to failure and busy period of the repairman are obtained using regenerative point technique and Markov process. The profit equation is developed based on the revenue earned when the system is operational and expenses involved in repair and downtime. A sensitivity analysis and numerical illustrations are implemented to investigate the effect of repairman fatigue and imperfect repair on system performance and overall profit. The findings are helpful in the enhancement of maintenance policies and efficiency of operations in industrial centrifuge systems.
Downloads
References
1. Alsamir, H. S., Noorani, M. S. M., & Shatanawi, W. (2019). Fixed point results in metric-like spaces via σ-simulation functions. European Journal of Pure and Applied Mathematics, 12(4), 1345–1357.
2. Amini-Harandi, A. (2012). Metric-like spaces, partial metric spaces and fixed points. Fixed Point Theory and Applications, 2012, Article 204. https://doi.org/10.1186/1687-1812-2012-204
3. Anderson, P. M., Chintaluri, G. M., Magbuhat, S. M., & Ghajar, R. F. (2002). An improved reliability model for redundant protective systems-Markov models. IEEE Transactions on Power Systems, 12(2), 573-578.
4. Busse, A. L., & Moreira, J. M. L. (2021). Reliability and redundancy allocation analysis applied to a nuclear protection system. Brazilian Journal of Radiation Sciences, 9(2B (Suppl.)).
5. Chellappan, C., & Vijayalakshmi, G. (2009). Dependability modeling and analysis of hybrid redundancy systems. International Journal of Quality & Reliability Management, 26(1), 76-96.
6. Chhillar, S. K., Barak, A. K., & Malik, S. C. (2013). Analysis of a parallel system with priority to repair over maintenance subject to random shocks. International Journal of Computer Science Issues, 10(3, No. 2), 1–6.
7. Hendawi, S., & Frangopol, D. M. (1994). System reliability and redundancy in structural design and evaluation. Structural safety, 16(1-2), 47-71.
8. Houankpo, H. G. K., & Kozyrev, D. (2021). Mathematical and simulation model for reliability analysis of a heterogeneous redundant data transmission system. Mathematics, 9(22), 2884.
9. Huang, H. I., & Ke, J. C. (2009). Comparative analysis on a redundant repairable system with different configurations. Engineering Computations, 26(4), 422-439.
10. Institute of Electrical and Electronics Engineers. (1963). IEEE Transactions on Reliability (Vol. R-12, Issue 1). IEEE. (First issue published March 1963)
11. Jaggi, D. S. (1977). Some unique fixed point theorems. Indian Journal of Pure and Applied Mathematics, 8(2), 223–230.
12. Jia, J., & Wu, S. (2009). A replacement policy for a repairable system with its repairman having multiple vacations. Applied Mathematical Modelling, 33(5), 2115–2124. https://doi.org/10.1016/j.apm.2008.05.023
13. Jo, J. S., Kim, S. P., Oh, S. G., Kim, T. J., Kang, F. S., & Park, S. J. (2024). Markov model-based reliability analysis considering the redundancy effect of modular converters. IEEE Access, 12, 3328-3338.
14. Jodejko-Pietruczuk, A., Nowakowski, T., & Werbińska-Wojciechowska, S. (2013). Block inspection policy model with imperfect inspections for multi-unit systems. Reliability: Theory & Applications, 8(3), 1–15.