{"title":"A Study of Replacement Policies for Warranty Products with Different Failure Rate","authors":"Wen Liang Chang","volume":72,"journal":"International Journal of Industrial and Manufacturing Engineering","pagesStart":2852,"pagesEnd":2855,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/8180","abstract":"
This paper provides a replacement policy for warranty products with different failure rate from the consumer-s viewpoint. Assume that the product is replaced once within a finite planning horizon, and the failure rate of the second product is lower than the failure rate of the first product. Within warranty period (WP), the failed product is corrected by minimal repair without any cost to the consumers. After WP, the failed product is repaired with a fixed repair cost to the consumers. However, each failure incurs a fixed downtime cost to the consumers over a finite planning horizon. In this paper, we derive the model of the expected total disbursement cost within a finite planning horizon and some properties of the optimal replacement policy under some reasonable conditions are obtained. Finally, numerical examples are given to illustrate the features of the optimal replacement policy under various maintenance costs.<\/p>\r\n","references":"[1] R.E. Barlow and F. Proschan, Mathematical Theory of Reliability, Wiley,\r\nNew York, 1965.\r\n[2] P.J. Boland and F. Proschan, \"Periodic replacement with increasing\r\nminimal repair costs at failure,\" Operations Research, vol. 30, pp.\r\n1183-1189, 1982.\r\n[3] T. Nakagawa and M. Kowada, \"Analysis of a system with minimal repair\r\nand its application to replacement policy,\" European Journal of\r\nOperational Research, vol. 12, pp. 176-182, 1983.\r\n[4] J.K. Chan and L. Shaw, \"Modeling repairable systems with failure rates\r\ndependent on age and maintenance,\" IEEE Transactions on Reliability,\r\nvol. 42, pp. 566-570, 1993.\r\n[5] Y.H. Chien, \"Optimal age for preventive replacement under a combined\r\nfully renewable free replacement with a pro-rata warranty,\" International\r\nJournal of Production Economics, vol. 124, pp. 198-205, 2010.\r\n[6] Y.H. Chien and J.A. Chen, \"Optimal age-replacement policy for\r\nrepairable products under renewing free-replacement warranty,\"\r\nInternational Journal of Systems Science, vol. 38, pp. 759-769, 2007.\r\n[7] K.J. Chung, \"Optimal repair-cost limit for a consumer following expiry of\r\na warranty,\" Microelectronics and Reliability, vol. 34, pp. 1689-1692,\r\n1994.\r\n[8] A.N. Das and S.P. Sarmah, \"Preventive replacement models: an overview\r\nand their application in process industries,\" European Journal of\r\nIndustrial Engineering, vol. 4, pp. 280-307, 2010.\r\n[9] W.R. Blischke and D.N.P. Murthy, Warranty Cost Analysis, Dekker, New\r\nYork, 1994.\r\n[10] T. Aven, \"Optimal replacement under a minimal repair strategy-a general\r\nfailure model,\" Advances in Applied Probability, vol. 15, pp.198-211,\r\n1983.\r\n[11] J. Jaturonnateea, D.N.P. Murthy and R. Boondiskulchoka, \"Optimal\r\npreventive maintenance of leased equipment with corrective minimal\r\nrepairs,\" European Journal of Operational Research, vol. 174, pp.\r\n201-215, 2006.\r\n[12] J.P. Jhang, \"A study of the optimal use period and number of minimal\r\nrepairs of a repairable product after the warranty expires,\" International\r\nJournal of Systems Science, vol. 36, pp. 697-704, 2005.\r\n[13] C.H. Wang and S.H. Sheu, \"Optimal lot sizing products sold under a\r\nfree-repair warranty,\" European Journal of Operational Research, vol. pp.\r\n141, 2003.\r\n[14] T. Nakagawa and S. Mizutani, \"A summary of maintenance policies for a\r\nfinite interval,\" Reliability Engineering and System Safety, vol. 94, pp.\r\n89-96, 2009.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 72, 2012"}