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2020 | OriginalPaper | Chapter

Optimizing Imperfect Preventive Maintenance Policy for a Multi-unit System with Different Virtual Ages

Authors : Maryam Hamidi, Reza Maihami, Behnam Rahimikelarijani

Published in: Games and Dynamics in Economics

Publisher: Springer Singapore

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Abstract

A special game against nature is examined in this paper, in which nature controls timings of repairable and non-repairable failures of a system of equipment, and preventive maintenance, repairs and preventive replacement policies are the countermeasures. We optimize the imperfect preventive maintenance policy for a multi-unit system with different initial virtual age units. We develop a binary integer programming problem, where the management decides on the optimal preventive maintenance policy to minimize the total expected maintenance cost not to exceed a given budget. The mathematical formulation is developed for a multi-unit system, considering different preventive maintenance levels for each unit. Numerical examples with sensitivity analysis are performed to illustrate the performance and efficiency of the proposed model. Also, the model is examined for a real case study from railway industry. The results determine the optimal preventive maintenance policy and provide managerial insights based on computational analysis.

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Literature
go back to reference Ali, I., Khan, M. F., Raghav, Y. S., & Bari, A. (2011). Allocation of repairable and replaceable components for a system availability using selective maintenance with probabilistic maintenance time constraints. American Journal of Operations Research, 1(3), 147.CrossRef Ali, I., Khan, M. F., Raghav, Y. S., & Bari, A. (2011). Allocation of repairable and replaceable components for a system availability using selective maintenance with probabilistic maintenance time constraints. American Journal of Operations Research, 1(3), 147.CrossRef
go back to reference Cao, W., Jia, X., Hu, Q., Song, W., & Ge, H. (2017). Selective maintenance for maximising system availability: A simulation approach. International Journal of Innovative Computing and Applications, 8(1), 12–20.CrossRef Cao, W., Jia, X., Hu, Q., Song, W., & Ge, H. (2017). Selective maintenance for maximising system availability: A simulation approach. International Journal of Innovative Computing and Applications, 8(1), 12–20.CrossRef
go back to reference Cao, W., Jia, X., Hu, Q., Zhao, J., & Wu, Y. (2018). A literature review on selective maintenance for multi-unit systems. Quality and Reliability Engineering International, 34(5), 824–845.CrossRef Cao, W., Jia, X., Hu, Q., Zhao, J., & Wu, Y. (2018). A literature review on selective maintenance for multi-unit systems. Quality and Reliability Engineering International, 34(5), 824–845.CrossRef
go back to reference Cassady, C. R., Murdock, W. P., Jr., & Pohl, E. A. (2001a). Selective maintenance for support equipment involving multiple maintenance actions. European Journal of Operational Research, 129(2), 252–258.CrossRef Cassady, C. R., Murdock, W. P., Jr., & Pohl, E. A. (2001a). Selective maintenance for support equipment involving multiple maintenance actions. European Journal of Operational Research, 129(2), 252–258.CrossRef
go back to reference Cassady, C. R., Pohl, E. A., & Paul Murdock, W. (2001). Selective maintenance modeling for industrial systems. Journal of Quality in Maintenance Engineering, 7(2), 104–117. Cassady, C. R., Pohl, E. A., & Paul Murdock, W. (2001). Selective maintenance modeling for industrial systems. Journal of Quality in Maintenance Engineering, 7(2), 104–117.
go back to reference Cho, D. I., & Parlar, M. (1991). A survey of maintenance models for multi-unit systems. European Journal of Operational Research, 51(1), 1–23.CrossRef Cho, D. I., & Parlar, M. (1991). A survey of maintenance models for multi-unit systems. European Journal of Operational Research, 51(1), 1–23.CrossRef
go back to reference Dao, C. D., & Zuo, M. J. (2017). Selective maintenance of multi-state systems with structural dependence. Reliability Engineering & System Safety, 159, 184–195.CrossRef Dao, C. D., & Zuo, M. J. (2017). Selective maintenance of multi-state systems with structural dependence. Reliability Engineering & System Safety, 159, 184–195.CrossRef
go back to reference Ferreira, R. J., Firmino, P. R. A., & Cristino, C. T. (2015). A mixed kijima model using the weibull-based generalized renewal processes. PLoS ONE, 10(7), e0133772.CrossRef Ferreira, R. J., Firmino, P. R. A., & Cristino, C. T. (2015). A mixed kijima model using the weibull-based generalized renewal processes. PLoS ONE, 10(7), e0133772.CrossRef
go back to reference Giorgio, M., & Pulcini, G. (2018). A new state-dependent degradation process and related model misidentification problems. European Journal of Operational Research, 267(3), 1027–1038.CrossRef Giorgio, M., & Pulcini, G. (2018). A new state-dependent degradation process and related model misidentification problems. European Journal of Operational Research, 267(3), 1027–1038.CrossRef
go back to reference He, Q., Li, H., Bhattacharjya, D., Parikh, D. P., & Hampapur, A. (2015). Track geometry defect rectification based on track deterioration modelling and derailment risk assessment. Journal of the Operational Research Society, 66(3), 392–404.CrossRef He, Q., Li, H., Bhattacharjya, D., Parikh, D. P., & Hampapur, A. (2015). Track geometry defect rectification based on track deterioration modelling and derailment risk assessment. Journal of the Operational Research Society, 66(3), 392–404.CrossRef
go back to reference Kijima, M. (1989). Some results for repairable systems with general repair. Journal of Applied Probability, 26(1), 89–102.CrossRef Kijima, M. (1989). Some results for repairable systems with general repair. Journal of Applied Probability, 26(1), 89–102.CrossRef
go back to reference Liu, Y., Chen, Y., & Jiang, T. (2018). On sequence planning for selective maintenance of multi-state systems under stochastic maintenance durations. European Journal of Operational Research, 268(1), 113–127.CrossRef Liu, Y., Chen, Y., & Jiang, T. (2018). On sequence planning for selective maintenance of multi-state systems under stochastic maintenance durations. European Journal of Operational Research, 268(1), 113–127.CrossRef
go back to reference Liu, Y., & Huang, H.-Z. (2010). Optimal selective maintenance strategy for multi-state systems under imperfect maintenance. IEEE Transactions on Reliability, 59(2), 356–367.CrossRef Liu, Y., & Huang, H.-Z. (2010). Optimal selective maintenance strategy for multi-state systems under imperfect maintenance. IEEE Transactions on Reliability, 59(2), 356–367.CrossRef
go back to reference LüX, Z., Yu, Y. L., & Zhang, L. (2012). Selective maintenance model considering cannibalization and multiple maintenance actions. Acta Armamentarii, 33(3), 360–366. LüX, Z., Yu, Y. L., & Zhang, L. (2012). Selective maintenance model considering cannibalization and multiple maintenance actions. Acta Armamentarii, 33(3), 360–366.
go back to reference Martorell, S., Sanchez, A., & Serradell, V. (1999). Age-dependent reliability model considering effects of maintenance and working conditions. Reliability Engineering & System Safety, 64(1), 19–31.CrossRef Martorell, S., Sanchez, A., & Serradell, V. (1999). Age-dependent reliability model considering effects of maintenance and working conditions. Reliability Engineering & System Safety, 64(1), 19–31.CrossRef
go back to reference Nicolai, R. P., & Dekker, R. (2008). Optimal maintenance of multi-component systems: A review. In Complex system maintenance handbook (pp. 263–286). Springer. Nicolai, R. P., & Dekker, R. (2008). Optimal maintenance of multi-component systems: A review. In Complex system maintenance handbook (pp. 263–286). Springer.
go back to reference Pandey, M., Zuo, M. J., Moghaddass, R., & Tiwari, M. K. (2013). Selective maintenance for binary systems under imperfect repair. Reliability Engineering & System Safety, 113, 42–51.CrossRef Pandey, M., Zuo, M. J., Moghaddass, R., & Tiwari, M. K. (2013). Selective maintenance for binary systems under imperfect repair. Reliability Engineering & System Safety, 113, 42–51.CrossRef
go back to reference Pham, H., & Wang, H. (1996). Imperfect maintenance. European Journal of Operational Research, 94(3), 425–438.CrossRef Pham, H., & Wang, H. (1996). Imperfect maintenance. European Journal of Operational Research, 94(3), 425–438.CrossRef
go back to reference Rice, W. F. (1999). Optimal selective maintenance decisions for series systems (Mississippi State University. Department of Industrial Engineering). Rice, W. F. (1999). Optimal selective maintenance decisions for series systems (Mississippi State University. Department of Industrial Engineering).
go back to reference Sanchez, A., Carlos, S., Martorell, S., & Villanueva, J. F. (2009). Addressing imperfect maintenance modelling uncertainty in unavailability and cost based optimization. Reliability Engineering & System Safety, 94(1), 22–32.CrossRef Sanchez, A., Carlos, S., Martorell, S., & Villanueva, J. F. (2009). Addressing imperfect maintenance modelling uncertainty in unavailability and cost based optimization. Reliability Engineering & System Safety, 94(1), 22–32.CrossRef
go back to reference Tanwar, M., Rai, R. N., & Bolia, N. (2014). Imperfect repair modeling using Kijima type generalized renewal process. Reliability Engineering & System Safety, 124, 24–31.CrossRef Tanwar, M., Rai, R. N., & Bolia, N. (2014). Imperfect repair modeling using Kijima type generalized renewal process. Reliability Engineering & System Safety, 124, 24–31.CrossRef
go back to reference Wang, H. (2002). A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 139(3), 469–489.CrossRef Wang, H. (2002). A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 139(3), 469–489.CrossRef
go back to reference Zhang, N., & Yang, Q. (2015). Optimal maintenance planning for repairable multi-component systems subject to dependent competing risks. IIE Transactions, 47(5), 521–532.CrossRef Zhang, N., & Yang, Q. (2015). Optimal maintenance planning for repairable multi-component systems subject to dependent competing risks. IIE Transactions, 47(5), 521–532.CrossRef
go back to reference Zhou, X., Xi, L., & Lee, J. (2007). Reliability-centered predictive maintenance scheduling for a continuously monitored system subject to degradation. Reliability Engineering & System Safety, 92(4), 530–534.CrossRef Zhou, X., Xi, L., & Lee, J. (2007). Reliability-centered predictive maintenance scheduling for a continuously monitored system subject to degradation. Reliability Engineering & System Safety, 92(4), 530–534.CrossRef
Metadata
Title
Optimizing Imperfect Preventive Maintenance Policy for a Multi-unit System with Different Virtual Ages
Authors
Maryam Hamidi
Reza Maihami
Behnam Rahimikelarijani
Copyright Year
2020
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-3623-6_13