Commenced in January 2007
Paper Count: 31743
Hybrid Minimal Repair for a Serial System
Abstract:This study proposes a hybrid minimal repair policy which combines periodic maintenance policy with age-based maintenance policy for a serial production system. Parameters of such policy are defined as and which indicate as hybrid minimal repair time and planned preventive maintenance time respectively . Under this hybrid policy, the system is repaired minimally if it fails during ,. A perfect repair is conducted on the first failure after at any machines. At the same time, we take opportunity to advance the preventive maintenance of other machines simultaneously. If the system is still operating properly up to , then the preventive maintenance is carried out as its predetermined schedule. For a given , we obtain the optimal value which minimizes the expected cost per time unit. Numerical example is presented to illustrate the properties of the optimal solution.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1055723Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1412
 Wang, H., "A survey of maintenance policies of deteriorating systems", European Journal of Operational Research, Vol.139, 2002, pp.469-489.
 Sarkar, A., Panja, S. C., and Sarkar, B., "Survey of maintenance policies for the last 50 years", International Journal of Software Engineering & Applications, Vol.2, No.3, 2011, pp.130-148.
 Barlow, R., and Hunter, L., "Optimum preventive maintenance policies", Operations Research, Vol.8, No.1, 1960, pp.90-100.
 Tahara, A., and Nishida, T., "Optimal replacement policy for minimal repair model", Journal of Operations Research Society, vol.18, no.3, 1975, pp.113-124.
 Nakagawa, T., "Optimal policy of continuous and discrete replacement with minimal repair at failure", Naval Research Logistics Quarterly, Vol.31, No.4, 1984, pp.5430-550.
 Sheu, S., Kuo, C., and Nakagawa, T., "Extended optimal age replacement policy with minimal repair", RAIRO Operations Research, Vol.27, No.3, 1993, pp.337-351.
 Ohnishi, M., "Optimal minimal repair and replacement problem under average cost criterion: optimality of , policy", Journal of the Operations research, Vol.40, No.3, 1997, pp.373-389.
 Iskandar B.P. and Sandoh H., "An opportunity based age replacement policy considering warranty", International Journal of Reliability, Quality and Safety Engineering, Vol.6 No.3, 1999, pp.229-236.
 Iskandar, B.P., and Sandoh, H., "An extended opportunity-based age replacement policy", RAIRO Operations Research, Vol.34, No.02, 2000, pp.145-154.
 Nakagawa, T., "A summary of periodic replacement with minimal repair at failure", Journal of the Operations Research Society of Japan, Vol.24, 1981, pp.213-228.
 Nakagawa, T., "Modified periodic replacement with minimal repair at failure", IEEE Transactions on Reliability, Vol.30, 1981, pp.165-168.
 Nakagawa T., Maintenance Theory of Reliability, London: Springer- Verlag, 2005, pp.127-131.
 Dagpunar J.S., "Hybrid minimal repair and age replacement maintenance policies, with non-negligible repair times", Naval Research Logistics, Vol. 41, No.7, 1994, pp.1029-1037.
 Husniah H., Pasaribu U.S., Halim A.H., and Iskandar B.P., "A hybrid minimal repair and age replacement policy for warranted products", in proceeding of 2nd Asia Pacific Conference on Manufacturing System, Yogyakarta, Indonesia, 2009.
 Dekker, R., dan Roelvink, I.F.K., "Marginal cost criteria for preventive replacement of a group of components", European Journal of Operational Research, Vol.84, No.2, 1995, pp.467-480.
 Dekker, R., Wildeman, R.E., and Van Der Duyn Schouten, F.A., "A review of multi-component maintenance models with economic dependence", Mathematical Methods of Operational Research, Vol.45, No.3, 1997, pp.411-435.
 Nursanti E., Ma-ruf A., Simatupang T., and Iskandar B.P., "An optimal group inspection policy for a two-machine system", in proceeding of Asia-Oceania Top University League on Engineering, Bandung, Indonesia, 2010.
 Tan, J.S., and Kramer, M.A., "A general framework for preventive maintenance optimization in chemical process operations", Computers and Chemical Engineering, Vol. 21, No. 12, 1997, pp.1451-1469.
 Ebeling, An Introduction to Reliability and Maintainability Engineering, New York: McGraw Hill, 1997.
 Ilya Gertsbakh, Reliability Theory: With Applications to Preventive Maintenance, Berlin Heidelberg New York: Springer-Verlag, 2000.