An Optimal Age for Preventive Replacement Under Fully Renewing Combination Free Replacement and Pro Rata Warranty

References

• Balcer , Y. , Sahin , I. ( 1986 ). Replacement costs under warranty: cost moments and time variability . Operat. Res. 34 : 554 – 559 .
   Web of Science ®Google Scholar
• Barlow , R. E. , Proschan , F. ( 1965 ). Mathematical Theory of Reliability . New York : John Wiley & Sons .
   Google Scholar
• Berg , M. ( 1976 ). A proof of optimality for age replacement policies . J. Appl. Probab. 13 : 751 – 759 .
   Google Scholar
• Berg , M. , Epstein , B. ( 1978 ). Comparison of age, block, and failure replacement policies . IEEE Trans. Reliab. 27 : 25 – 29 .
   Google Scholar
• Blischke , W. R. , Murthy , D. N. P. ( 1992a ). Product warranty management-I: a taxonomy for warranty policies . Eur. J. Operat. Res. 62 : 127 – 148 .
   Web of Science ®Google Scholar
• Blischke , W. R. , Murthy , D. N. P. ( 1992b ). Product warranty management-III: a review of mathematical models . Eur. J. Operat. Res. 63 : 1 – 34 .
   Web of Science ®Google Scholar
• Blischke , W. R. , Murthy , D. N. P. ( 1994 ). Warranty Cost Analysis . New York : Marcel Dekker .
   Google Scholar
• Blischke , W. R. , Murthy , D. N. P. ( 1996 ). Product Warranty Handbook . New York : Marcel Dekker .
   Google Scholar
• Blischke , W. R. , Scheuer , E. M. ( 1981 ). Applications of renewal theory in analysis of the free-replacement warranty . Nav. Res. Logistic Quart. 28 : 193 – 205 .
   Google Scholar
• Cha , J. H. ( 2003 ). A further extension of the generalized burn-in model . J. Appl. Probab. 40 : 264 – 270 .
   Web of Science ®Google Scholar
• Chien , Y. H. ( 2005 ). Determining optimal warranty periods from the seller's perspective and optimal out-of-warranty replacement age from the buyer's perspective . Int. J. Syst. Sci. 36 ( 10 ): 361 – 367 .
   Google Scholar
• Chien , Y. H. ( 2008a ). Optimal age-replacement policy under imperfect renewing free-replacement warranty . IEEE Trans. Reliab. 57 ( 1 ): 125 – 133 .
   Web of Science ®Google Scholar
• Chien , Y. H. ( 2008b ). A new warranty strategy: combining a renewing free-replacement warranty with a rebate policy . Qual. Reliab. Eng. Int. 24 : 807 – 815 .
   Web of Science ®Google Scholar
• Chien , Y. H. , Sheu , S. H. ( 2006 ). Extended optimal age-replacement policy with minimal repair of a system subject to shocks . Eur. J. Operat. Res. 174 : 169 – 181 .
   Web of Science ®Google Scholar
• Chien , Y. H. , Sheu , S. H. , Zhang , Z. G. , Love , E. ( 2006 ). An extended optimal replacement model of a system subject to shocks . Eur. J. Operat. Res. 175 : 399 – 412 .
   Web of Science ®Google Scholar
• Ingram , C. R. , Scheaffer , R. L. ( 1976 ). On consistent estimation of age replacement intervals . Technometrics 18 : 213 – 219 .
   Web of Science ®Google Scholar
• Jung , G. M. , Park , D. H. ( 2003 ). Optimal maintenance policies during the post-warranty period . Reliab. Eng. Sys. Safety 82 : 173 – 185 .
   Web of Science ®Google Scholar
• Mitra , A. , Patankar , J. G. ( 1997 ). Market share and warranty costs for renewable warranty programs . Int. J. Product. Econ. 50 : 155 – 168 .
   Web of Science ®Google Scholar
• Nguyen , D. G. , Murthy , D. N. P. ( 1982 ). Optimal burn-in time to minimize cost for products sold under warranty . IIE Trans. 46 : 512 – 518 .
   Google Scholar
• Osaki , S. S. , Nakagawa , T. ( 1975 ). A note on age replacement . IEEE Trans. Reliab. 24 : 92 – 94 .
   Web of Science ®Google Scholar
• Ritchken , P. H. ( 1985 ). Warranty policies for non-repairable items under risk aversion . IEEE Trans. Reliab. 34 : 147 – 150 .
   Web of Science ®Google Scholar
• Sheu , S. H. ( 1998 ). A generalized age and block replacement of a system subject to shocks . Eur. J. Operat. Res. 108 : 345 – 362 .
   Web of Science ®Google Scholar
• Sheu , S. H. , Chien , Y. H. (2004). Optimal age-replacement policy of a system subject to shocks with random lead-time. Eur. J. Operat. Res. 159:132–144.
   Web of Science ®Google Scholar
• Sheu , S. H. , Chien , Y. H. ( 2005 ). Optimal burn-in time to minimize the cost for general repairable products sold under warranty . Eur. J. Operat. Res. 163 : 445 – 461 .
   Web of Science ®Google Scholar
• Sheu , S. H. , Griffith , W. S. , Nakagawa , T. ( 1995 ). Extended optimal replacement model with random minimal repair costs . Eur. J. Operat. Res. 85 : 632 – 649 .
   Google Scholar
• Wu , C. C. , Chou , C. Y. , Hunag , C. ( 2007 ). Optimal maintenance policies during the post-warranty period . Reliab. Eng. Sys. Safety 92 ( 7 ): 914 – 920 .
   Web of Science ®Google Scholar
• Yeh , R. H. , Lo , H. C. ( 2001 ). Optimal preventive-maintenance warranty policy for repairable . Eur. J. Operat. Res. 134 : 59 – 69 .
   Web of Science ®Google Scholar
• Yeh , R. H. , Chen , G. C. , Chen , M. Y. ( 2005 ). Optimal age-replacement policy for non-reparable products under renewing free-replacement warranty . IEEE Trans. Reliab. 54 : 92 – 97 .
   Web of Science ®Google Scholar
• Yeh , R. H. , Chen , M. Y. , Lin , C. Y. ( 2007 ). Optimal periodic replacement policy for repairable products under free-repair warranty . Eur. J. Operat. Res. 176 : 1678 – 1686 .
   Web of Science ®Google Scholar