Abstract
In this chapter, we study an inspection scheduling problem for one-shot systems. The one-shot systems are composed of several components (Type 1 and 2 units), the systems are inspected periodically to detect systems failure, and the units are maintained preventively. The interval availability and life cycle cost are used as optimization criteria and are estimated by simulation. We aim to determine the inspection intervals, starting points of inspection of one-shot systems, preventive replacement ages of Type 1 units, and preventive maintenance thresholds of Type 2 units that minimize the life cycle cost and satisfy the target interval availability during inspection periods. A hybrid genetic algorithm with a heuristic method is proposed to find near-optimal solutions, and numerical examples are studied to investigate the effects of model parameters on the optimal solutions.
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Nakagawa T, Mizutani S (2009) A summary of maintenance policies for a finite interval. Reliab Eng Syst Safety 94:89–96
Nakagawa T, Mizutani S, Chen M (2010) A summary of periodic and random inspection policies. Reliab Eng Syst Safety 95:906–911
Ito K, Nakagawa T (1992) Optimal inspection policies for a system in storage. Comput Math Appl 24:87–90
Kaio N, Dohi T, Osaki S (1994) Inspection policy with failure due to inspection. Microelectron Reliab 34:599–602
Ito K, Nakagawa T, Nishi K (1995) Extended optimal inspection policies for a system in storage. Math Comput Model 22:83–87
Ito K, Nakagawa T (1995) An optimal inspection policy for a storage system with high reliability. Microelectron Reliab 35:875–882
Ito K, Nakagawa T (1995) An optimal inspection policy for a storage system with three types of hazard rate functions. J Oper Res Soc Jpn 38:423–431
Ito K, Nakagawa T (2000) Optimal inspection policies for a storage system with degradation at periodic tests. Math Comput Model 31:191–195
Taghipour S, Banjevic D (2011) Periodic inspection optimization models for a repairable system subject to hidden failures. IEEE Trans Reliab 60:275–285
Golmakani HR, Moakedi H (2012) Optimal non-periodic inspection scheme for a multi-component repairable system using A* search algorithm. Comput Ind Eng 63:1038–1047
Leung FK (2001) Inspection Schedules when the lifetime distribution of a single-unit system is completely unknown. Eur J Oper Res 132:106–115
Cui L, Xie M (2005) Availability of a periodically inspected system with random repair or replacement times. J Stat Plan Inference 131:89–100
Kitagawa T, Yuge T, Yanagi S (2015) Optimal maintenance policy of a multi-unit one-shot system with minimal repair. IEICE Trans Fundam 98-A:2077–2083
Kitagawa T, Yuge T, Yanagi S (2016) Periodic and non-periodic inspection policies for a one-shot system with minimal repair. J Jpn Ind Manag Assoc 66:385–387
Yun WY, Han YJ, Kim HW (2012) Simulation-based inspection policies for a one-shot system. In: Proceedings of the 5th Asia-Pacific international symposium, Nanjing, China, pp. 621–628
Grall A, Berenguer C, Dieulle L (2002) A condition-based maintenance policy for stochastically deteriorating systems. Reliab Eng Syst Safety 76:167–180
Avramidis AN, L’ecuyer P, Tremblay P-A (2003) Efficient simulation of gamma and variance-gamma processes. In: Proceedings of the 2003 winter simulation conference, 1, pp. 319–326
Li W, Pham H (2005) An inspection-maintenance model for systems with multiple competing processes. IEEE Trans Reliab 54:318–327
Van Noortwijk JM (2009) A survey of the application of gamma processes in maintenance. Reliab Eng Syst Safety 94:2–21
Yun WY, Han YJ, Kim HW (2013) Optimal inspection policies for a one-shot system with two types of units. In: Proceedings of the 9th international conference on intelligent manufacturing and logistics systems, Shanghai, China, pp. 136–141
Yun WY, Liu L, Han YJ (2014) Metaheuristic-based inspection policy for a one-shot system with two types of units. J Mech Sci Technol 28:3947–3955
Yun WY, Liu L, Han YJ, Rhee DW, Han CG (2013) Optimal inspection schedules for one-shot systems with two types of units. In: Proceedings of the international conference on quality, reliability, risk, maintenance and safety engineering, pp. 631–635
Yun WY, Liu L, Han YJ, Rhee DW, Han CG (2013) Simulation-based optimal inspection schedules for one-shot systems with two types of units. In: Proceedings of the 17th international conference on industrial engineering: theory, application and practice, pp. 314–320
Yun WY, Moon IK, Kim KR (2008) Simulation-based maintenance support system for multi-functional complex systems. Prod Plan Control 19:365–378
Gen M, Cheng R, Lin L (2008) Network models and optimization: multi-objective genetic algorithm approach. Springer, London
Yun WY, Han YJ, Kim HW (2014) Simulation-based inspection policies for a one-shot system in storage over a finite time span. Commun Stat Simulat Comput 43:1979–2003
Acknowledgements
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Education, Science and Technology (NRF-2016R1D1A1A09919337).
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Liu, L., Han, Y.J., Kim, H.W., Yun, W.Y. (2018). Optimal Inspection Intervals for Multi-One-Shot Systems. In: Ram, M., Davim, J. (eds) Modeling and Simulation in Industrial Engineering. Management and Industrial Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-60432-9_3
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DOI: https://doi.org/10.1007/978-3-319-60432-9_3
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