Abstract
This paper proposes a model to find optimal periodic inspection interval for a multi-component repairable system with failure interaction. Failure of one component of the system is hard, i.e., as soon as it occurs, the system stops operating. Failures of the other components are soft, namely, they do not cause the system stop. Soft failures increase the system operating costs and are detected only if inspection is performed. Thus, the components with soft failure are periodically inspected simultaneously and are repaired if found failed. When the component with hard failure fails, it is also repaired. However, it increases the failure rate of the other components. The objective is to find the optimal inspection interval such that, on a finite time horizon, the expected total cost is minimized. The proposed modeling approach is illustrated through a simplified numerical example for a general infusion pump.
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References
Nicola RP, Dekker R (2008) Optimal maintenance of multi-component systems: a review. In: Murthy DNP, Kobbacy AKS (eds) Complex system maintenance handbook. Springer, Amsterdam
Cho D, Parlar M (1991) A survey of maintenance models for multi-unit systems. Eur J Oper Res 51:1–23
Thomas L (1986) A survey of maintenance and replacement models for maintainability and reliability of multi-item systems. Reliab Eng 16:297–309
Murthy D, Nguyen D (1985) Study of two-component system with failure interaction. Naval Res Logistics Quart 32:239–247
Murthy D, Nguyen D (1985) Study of a multi-component system with failure interaction. Eur J Oper Res 21:330–338
Ozekici S (1988) Optimal periodic replacement of multi-component reliability systems. Oper Res 36:542–552
Nakagawa T, Murthy D (1993) Optimal replacement policies for a two-unit system with failure interactions. RAIRO Recherche operationelle/Oper Res 27:427–438
Sheu S, Liou C (1992) Optimal replacement of a k-out-of-n system subject to shocks. Microelectron Reliab 32:649–655
Jhang J, Sheu S (2000) Optimal age and block replacement policies for a multi-component system with failure interaction. Int J Syst Sci 31:593–603
Scarf P, Deara M (1998) On the development and application of maintenance policies for a two-component system with failure dependence. IMA J Math Appl Bus Ind 9:91–107
Scarf P, Deara M (2003) Block replacement policies for a two-component system with failure dependence. Nav Res Logist 50:70–87
Satow T, Osaki S (2003) Optimal replacement policies for a two-unit system with shock damage interaction. Comput Math Appl 46:1129–1138
Zequeira R, Berenguer C (2005) On the inspection policy of a two-component parallel system with failure interaction. Reliab Eng Syst Saf 88:99–107
Barros A, Berenguer C, Grall A (2006) A maintenance policy for two-unit parallel systems based on imperfect monitoring information. Reliab Eng Syst Saf 91:131–136
Lai M, Chen Y (2006) Optimal periodic replacement policy for a two-unit system with failure rate interaction. Int J Adv Manuf Technol 29:367–371
Lai M, Chen Y (2008) Optimal replacement period of a two-unit system with failure rate interaction and external shocks. Int J Syst Sci 39(1):71–79
Meeker W, Escobar L (1998) Statistical methodology for reliability data. Wiley, New York
Taghipour S, Banjevic D, Jardine AKS (2010) Reliability analysis of maintenance data for complex medical devices. Quality and Reliability Engineering International. doi:10.1002/qre.1084. Accessed 26 Jan 2010.
Taghipour S, Banjevic D, Jardine AKS (2010) Periodic inspection optimization model for a complex repairable system. Reliab Eng Syst Saf 95:944–952
Shaomin Wu (2010) Optimal inspection policy for three-state systems monitored by variable sample size control charts. Int J Adv Manuf Technol. doi:10.1007/s00170-010-3091-7, iFirst
Zequeira R, Berenguer C (2005) Optimal inspection policies with predictive and preventive maintenance. Eng Optim 37(5):541–550
Wang W, Christer AH (2003) Solution algorithms for a nonhomogeneous multi-component inspection model. Comput Oper Res 30:19–34
Wang W (2008) Delay time modeling. In: Murthy DNP, Kobbacy AKS (eds) Complex system maintenance handbook. Springer, Amsterdam
Wang W (2009) Delay time modeling for optimized inspection intervals of production plant. In: Ben-Daya M, Duffuaa SO, Raouf A, Knezevic J, Ait-Kadi D (eds) Handbook of maintenance management and engineering. Springer, Amsterdam
Wang W, Banjevic D, Pecht M (2010) A multi-component and multi-failure mode inspection model based on the delay time concept. Reliab Eng Syst Saf 95:912–920
Ross SM (2007) Introduction to probability models, 9th edn. Academic, New York
Acknowledgment
This paper extensively benefits from the methodology and notations used in [19]. The authors wish to express their appreciation in this regard and to thank Dr. Sharareh Taghipour for her helpful comments on computer programming.
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Golmakani, H.R., Moakedi, H. Periodic inspection optimization model for a multi-component repairable system with failure interaction. Int J Adv Manuf Technol 61, 295–302 (2012). https://doi.org/10.1007/s00170-011-3693-8
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DOI: https://doi.org/10.1007/s00170-011-3693-8