Establishment and analysis to find the optimal inspection plan of redundant systems considering repair time.

Document Type : Research Paper

Authors

Faculty of Industrial Engineering, K.N. Toosi University of Technology, Tehran, Iran

Abstract

Optimal time interval between inspections of the redundant systems is raised as a substantial issue to plan a preventive maintenance model for maintenance planners. To have an optimal time period for preventive maintenance of systems, especially complex systems such as redundant systems, two variables of maintenance are mostly connived. Against other studies in the literature of preventive maintenance in which repair time is a negligible factor as an assumption, repair time is considered as a noticeable variable incorporated into the model developed in this paper. Another contribution, the number of facilities, is focused as a significant variable used in real applications. Particularly, systems with complex performance needing technical repair facilities (i.e., technical repairmen, tools, materials, outsourced repair, etc.). In this regard, parallel systems have been analyzed stochastically using the way of preventive maintenance in which repair time would be contemplated as an essential factor in maintenance planning. Using Markov chain, a model based on expected total cost per time is made to demonstrate that a proper time interval achieving lowest possible cost is obtained by taking into account repair time and the number of repair facility. Three models are studied as instances of redundant systems to find the optimal time interval between inspections. These models differ in the number of repair facilities (i.e., one, two and three repair facilities). A sensitivity analysis is done to depict the variability of input variables over optimal the expected total cost per time and time interval between inspections. As a main contribution, the repair time could be an essential factor in maintenance planning, this study contemplates this factor in redundant systems.

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Alrabghi A. &Tiwari A. (2015). State of the art in simulation-based optimization for maintenance systems. Computers and Industrial Engineering. Article in Press.
Barlow R.E. & Proschan F. (1965). Mathematical Theory of Reliability. New York: John Wiley & Sons.
Billinton R. & Pan J. (1998). Optimal maintenance scheduling in a two identical component parallel redundant system.  Reliability Engineering and System Safety, 59, 309-316.
Bloch-Mercier S. (2001). Optimal restarting distribution after repair for a Markov deteriorating system. Reliability Engineering and System Safety, 74, 81-91.
Bris R., Chatelet E. & Yalaoui F. (2003). New method to minimize the preventive maintenance cost of series-parallel systems. Reliability Engineering and System Safety, 82, 247-255.
Castro H.C. & Cavalca K.L. (2006). Maintenance resource optimization applied to a manufacturing system. Reliability Engineering and System Safety, 91, 413-420.
Chareonsuk C., Nagarur N., Mario T. (1997). A multicriteria approach to the selection of preventive maintenance intervals. International Journal of Production Economics, 49(1), 55-64.
Chatwattanasiri N., Coit D. & Feng Q. (2014). Two-stage Stochastic Algorithm for System Cost-Reliability and Maintenance Optimization Considering Uncertain Future Usage Scenarios. Proc of the 2014 Industrial and System Engineering research Conference.
David F. Percy, Khairy A.H. Kobbacy, Bahir B. Fawzi. (1997). Setting preventive maintenance schedules when data are spares. International Journal of Production Economics, 51(3), 223-234.
Dekker R. (1996). Applications of maintenance optimization models: a review and analysis. Reliability Engineering and System Safety, 51, 229-240.
Dimitrakos T.D., Kyriakidis E.G. (2008). A semi-Markov decision algorithm for the maintenance of a production system with buffer capacity and continuous repair times. International Journal of Production Economics, 111(2), 752-762.
Flammini F., Marrone S., Mazzocca N. & Vittorini V. (2009). A new modeling approach to the safety evaluation of N-modular redundant computer systems in presence of imperfect maintenance. Reliability Engineering and System Safety, 94, 1422-1432.
Lai M. & Yuan J. (1999). Cost-Optimal Replacement Policy (N*, n*) for a Parallel System with Common Cause Failure. Reliability Engineering and System Safety, 32, 339-347.
Laprie J, Costes A & Landrault C. (1981). Parametric analysis of 2-unit redundant computer systems with corrective and preventive maintenance. IEEE Transactions Reliability, R-30(2), 139-144.
Levitin G, Lisnianski A. (1999). Joint redundancy and maintenance optimization for multistate series-parallel systems. Reliability Engineering and System Safety, 64, 33-42.
Mendes A.A, Coit D & Riberio J.L.D. (2014). Establishment of the optimal time interval between periodic inspections for redundant systems. Reliability Engineering and System Safety, 131, 148-165.
Moghadaddam K.S. (2013). Multi-objective preventive maintenance and replacement scheduling in a manufacturing system using goal programming. International Journal of Production Economics, 146, 704-716.
Montoro-Cazorla D & Perez-Ocon R. (2006). A deteriorating two-system with two repair modes and sojourn time phase-type distributed. Reliability Engineering and System Safety, 91, 1-9.
Nahas N, Khatab A, Ait-Kadi D & Nourelfath M. (2008). Extended great deluge algorithm for the imperfect preventive maintenance optimization of multi-state systems. Reliability Engineering and System Safety, 93, 1658-1672.
Nourelfath M & Ait-Kadi D. (2007). Optimization of series-parallel multi-state systems under maintenance policies. Reliability Engineering and System Safety, 92, 1620-1626.
Nourelfath M, Chatelet E & Nahas N. (2012). Joint redundancy and imperfect preventive maintenance optimization for series-parallel multi-state degraded system. Reliability Engineering and System Safety, 103, 51-60.
Osaki S. (1972). Reliability analysis of a two-unit standby-redundant system with preventive maintenance. IEEE Transactions Reliability, R-21(1), 24-29.
Peng R., He X., Zhong C., Kou G., Xiao H. (2022). Preventive maintenance for heterogeneous parallel systems with two failure modes. Reliability Engineering and System Safety, 220,108310.
Rezaei E. (2017). A new model for the optimization of periodic inspection intervals with failure interaction: A case study for a turbine rotor. Case Studies in Engineering Failure Analysis, 9, 148-156.
Samrout M, Chatelet E, Kouta R & Chebbo N. (2009). Optimization of maintenance policy using the proportional hazard model. Reliability Engineering and System Safety, 94, 44-52.
Samrout M, Yalaoui F, Chatelet E & Chebbo N. (2005). New methods to minimize the preventive maintenance cost of series-parallel systems using ant colony optimization. Reliability Engineering and System Safety, 89, 346-354.
Seyedhosseini S.M., Moakedi H., Shahanaghi K. (2018). Imperfect inspection optimization for a two-component system subject to hidden and two-stage revealed failures over a finite time horizon. Reliability Engineering and System Safety, 174, 141-156.
Sharifi M., Taghipour S. (2020). Optimal inspection interval for a k-out-of-n system with non-identical components. Journal of Manufacturing Systems, 55, 233-247.
Sharifi M., Taghipour S., Abhari A. [2021]. Inspection interval optimization for a k-out-of-n load sharing system under a hybrid mixed redundancy strategy. Reliability Engineering and System Safety, 213,107681.
Taghipour S, Banjevic D & Jardine A.K.S. (2010). Periodic inspection optimization model for a complex repairable system. Reliability Engineering and System Safety, 95, 944-952.
Wang CH & Lin TW. (2011). Improved particle swarm optimization to minimize periodic preventive maintenance cost for series-parallel systems. Expert Systems with Applications, 38, 8963-8969.
Wang CH & Tsai SW. (2012). Optimizing bi-objective imperfect maintenance model for series-parallel system using established hybrid genetic algorithm.
Xu H & Hu W. (2008). Availability optimization of repairable system with preventive maintenance policy. International Journal of Systems Science, 39, 655-664.         
Xu H & Hu W. (2013). Modelling and analysis of repairable systems with preventive maintenance. Applied mathematics and Computation, 224, 46-53.
Yang A., Qingan Q., Mingren Z., Lirong C., Weilin C. & Jianhui C. (2022). Condition-based maintenance strategy for redundant systems with arbitrary structures using improved reinforcement learning. Reliability Engineering & System Safety, 225, 108643.
Yassin Hajipour, Sharareh Taghipour. (2016). Non-periodic inspection optimization of multi-component and k-out-of-m systems. Reliability Engineering and System Safety, 156,228-243.
Zequeria RI & Berenguer C. (2006). Periodic imperfect preventive maintenance with two categories of competing failure modes. Reliability Engineering and System Safety, 91, 460-468.
Zhao R., Peng R., Zhang N. (2023). Inspection policy optimization for a k-out-of-n/Cl(k′,n′;F) system considering failure dependence: a case study. Reliability Engineering and System Safety, 237,109331.