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Original Articles

Age Replacement Policy with a Safety Constraint via the Bayesian Method

, &
Pages 4151-4164 | Received 09 Jan 2009, Accepted 09 Jul 2010, Published online: 28 Dec 2011

References

  • Aven , T. , Castro , I. T. ( 2008 ). A minimal repair replacement model with two types of failure and a safety constraint . Eur. J. Operat. Res. 2 : 506 – 515 .
  • Barlow , R. E. , Hunter , L. C. ( 1960 ). Optimum preventive maintenance policies . Opera. Res. 8 : 90 – 100 .
  • Bechelt , F. , Fisher , K. ( 1980 ). General failure model applied to preventive maintenance policies . IEEE Trans. Reliab. 29 : 39 – 41 .
  • Berg , M. , Bienvenu , M. , Cléroux , R. ( 1986 ). Age replacement policy with age dependent minimal repair . INFOR 24 : 26 – 32 .
  • Block , H. W. , Borges , W. S. , Savits , T. H. ( 1985 ). Age-dependent minimal repair . J. Appl. Probab. 22 : 370 – 385 .
  • Block , H. W. , Borges , W. S. , Savits , T. H. ( 1988 ). A general age replacement model with minimal repair . Nav. Res. Logist. 30 : 1183 – 1189 .
  • Cléroux , R. , Dubuc , S. , Tilqulin , C. ( 1979 ). The age replacement problem with minimal repair and random repair cost . Operat. Res. 27 : 1158 – 1167 .
  • Gibbons , D. I. , Vance , L. C. ( 1981 ). A simulation study of estimators for the 2-parameter Weibull distribution . IEEE Trans. Reliab. 30 : 61 – 66 .
  • Hamada , M. S. , Wilson , A. , Reese , C. S. , Martz , H. F. ( 2008 ). Bayesian Reliability . New York : Springer .
  • Huang , Y. S. , Bier , V. M. ( 1998 ). A natural conjugate prior for the non-homogeneous Poisson process with a power law intensity function . Commun. Statist. Simul. Computat. 27 : 525 – 551 .
  • Huang , Y. S. , Bier , V. M. ( 1999 ). A natural conjugate prior for the non-homogeneous Poisson process with an exponential intensity function . Commun. Statist. Theor. Meth. 28 : 1479 – 1509 .
  • Huang , Y. S. , Hung , C. C. , Fang , C. C. ( 2007 ). Bayesian enhanced decision making for deteriorating repairable systems with preventive maintenance . Nav. Res. Logist. 55 : 105 – 115 .
  • Jiang , R. ( 2008 ). A Gamma–normal series truncation approximation for computing the Weibull renewal function . Reliab. Eng. Syst. Safety 93 : 616 – 626 .
  • Lawless , J. F. ( 1982 ). Statistical Methods and Methods for Lifetime Data . New York : John Wiley .
  • Lomnicki , Z. A. ( 1966 ). A note on the Weibull renewal process . Biometrika 53 : 375 – 381 .
  • Mann , N. R. ( 1968 ). Point and interval estimation procedures for the two-parameter Weibull and extreme value distribution . Technometrics 10 : 231 – 253 .
  • Mazzuchi , T. A. , Soyer , R. ( 1996 ). A Bayesian perspective on some replacement strategies . Reliab. Eng. Syst. Safety 51 : 295 – 303 .
  • Nakagawa , T. , Kowada , M. ( 1983 ). Analysis of a system with minimal repair and its application to replacement policy . Eur. J. Operat. Res. 12 : 176 – 182 .
  • Pan , J. N. , Chan , M. B. ( 1997 ). Reliability estimation methods under various probability distribution functions . J. Chin. Statist. Assoc. 35 : 173 – 192 .
  • Percy , D. F. ( 2002 ). Bayesian enhanced strategic decision making for reliability . Eur. J. Operat. Re. 139 : 133 – 145 .
  • Percy , D. F. , Kobbacy , K. A. H. ( 2000 ). Determining economical maintenance intervals . Int. J. Product. Econ. 67 : 87 – 94 .
  • Procaccia , H. , Cordierb , R. , Muller , S. ( 1997 ). Application of Bayesian statistical decision theory for a maintenance optimization problem . Reliab. Eng. Syst. Safety 55 : 295 – 303 .
  • Pulcini , G. ( 2000 ). On the overhaul effect for repairable mechanical units: a Bayes approach . Reliab. Eng. Syst. Safety 70 : 85 – 94 .
  • Ross , S. M. ( 1970 ). Applied Probability Models with Optimization Applications San Francisco : Holden-Day .
  • Sathe , P. T. , Hancock , W. M. ( 1973 ). A Bayesian approach to the scheduling of preventive maintenance . AIIE Trans. 5 : 172 – 179 .
  • Savits , T. H. (1988). Some multivariate distributions derived from a non-fatal shock model. J. Appl. Probab. 25:383–390.
  • Sheu , S. H. , Liou , C. T. ( 1992 ). An ordering policy with age-dependent minimal repair and age dependent random repair cost . Microelectron. Reliab. 8 : 1105 – 1113 .
  • Sheu , S. H. , Kuo , C. M. , Nakagawa , T. ( 1993 ). Extended optimal age replacement policy with minimal repair . RAIRO Operat. Res. 27 : 337 – 351 .
  • Sheu , S. H. , Griffith , W. S. , Nakagawa , T. ( 1995 ). Extended optimal replacement model with random minimal repair costs . Eur. J. Operat. Res. 26 : 636 – 649 .
  • Sheu , S. H. , Yeh , R. H. , Lin Y. B. , Juang , M. G. ( 1999 ). A Bayesian perspective on age replacement with minimal repair . Reliab. Eng. Syst. Safety 65 : 53 – 64 .
  • Sheu , S. H. , Yeh , R. H. , Lin , Y. B. , Juang , M. G. ( 2001 ). A Bayesian approach to an adaptive preventive maintenance model . Reliab. Eng. Syst. Safety 71 : 33 – 44 .
  • Sinha , S. K. , Sloan , J. A. ( 1988 ). Bayes estimation of the parameters and reliability function of the 3-parameter Weibull distribution . IEEE Trans. Reliab. 37 : 364 – 369 .
  • Sloand , R. M. ( 1969 ). Bayesian analysis of the Weibull process with unknown scale and shape parameters . IEEE Trans. Reliab. 18 : 181 – 184 .
  • Thoman , D. R. , Bain , L. J. , Antle , C. E. ( 1970 ). Maximum likelihood estimation, exact confidence intervals for reliability and tolerance limits in the Weibull distribution . Technometrics 12 : 363 – 371 .
  • Yañez , M. , Joglar , F. , Modarres , M. ( 2002 ). Generalized renewal process for analysis of repairable systems with limited failure experience . Reliab. Eng. Syst. Safety 77 : 167 – 180 .

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