Optimal variability sensitive condition-based maintenance with a Cox PH model

References

• Baruah , P and Chinnam , RB . 2005 . HMMs for diagnostics and prognostics in machining processes . International Journal of Production Research , 43 ( 6 ) : 1275 – 1293 .
   Web of Science ®Google Scholar
• Bloch-Mercier , S . 2002 . A preventive maintenance policy with sequential checking procedure for a Markov deteriorating system . European Journal of Operational Research , 142 ( 3 ) : 548 – 576 .
   Web of Science ®Google Scholar
• Chen , CT , Chen , YW and Yuan , J . 2003 . On a dynamic preventive maintenance policy for a system under inspection . Reliability Engineering and System Safety , 80 ( 1 ) : 41 – 47 .
   Web of Science ®Google Scholar
• Chen , Y and Jin , J . 2003 . Cost-variability-sensitive preventive maintenance considering management risk . IIE Transactions , 35 ( 12 ) : 1091 – 1101 .
   Web of Science ®Google Scholar
• Cox , DR . 1972 . Regression models and life-tables . Journal of the Royal Statistical Society Series B-Statistical Methodology , 34 ( 2 ) : 187 – 220 .
   Web of Science ®Google Scholar
• Dieulle , L . 2003 . Sequential condition-based maintenance scheduling for a deteriorating system . European Journal of Operational Research , 150 ( 2 ) : 451 – 461 .
   Web of Science ®Google Scholar
• Dong , M and He , D . 2007 . Hidden semi-Markov model-based methodology for multi-sensor equipment health diagnosis and prognosis . European Journal of Operational Research , 178 ( 3 ) : 858 – 878 .
   Web of Science ®Google Scholar
• Grall , A , Berenguer , C and Dieulle , L . 2002a . A condition-based maintenance policy for stochastically deteriorating systems . Reliability Engineering and System Safety , 76 ( 2 ) : 167 – 180 .
   Web of Science ®Google Scholar
• Grall , A . 2002b . Continuous-time predictive-maintenance scheduling for a deteriorating system . IEEE Transactions on Reliability , 51 ( 2 ) : 141 – 150 .
   Web of Science ®Google Scholar
• Hormann , W and Leydold , J . 2000 . Automatic random variate generation for simulation input . Proceedings of the 2000 winter simulation conference, vol. 1 . 10–13 December 2000 , Orlando, Florida. pp. 675 – 682 .
   Google Scholar
• Hosseini , MM , Kerr , RM and Randall , RB . 2000 . An inspection model with minimal and major maintenance for a system with deterioration and Poisson failure . IEEE Transactions on Reliability , 49 ( 1 ) : 88 – 98 .
   Google Scholar
• Jardine , AKS , Banjevic , D and Makis , V . 1997 . Optimal replacement policy and the structure of software for condition-based maintenance . Journal of Quality in Maintenance Engineering , 3 ( 2 ) : 109 – 119 .
   Google Scholar
• Jardine , AKS , Lin , D and Banjevic , D . 2006 . A review on machinary diagnostics and prognostics implementing condition-based maintenance . Mechanical Systems and Signal Processing , 20 ( 7 ) : 1483 – 1510 .
   Web of Science ®Google Scholar
• Kumar , D and Westberg , U . 1997 . Maintenance scheduling under age replacement policy using proportional hazards model and TTT-ploting . European Journal of Operations Research , 99 ( 3 ) : 507 – 515 .
   Web of Science ®Google Scholar
• Leemis , L , Shih , LH and Keynertson , K . 1990 . Variate generation for accelerated life and proportional hazards models with time dependent cases . Statistics and Probability Letters , 10 ( 4 ) : 335 – 339 .
   Web of Science ®Google Scholar
• Leemis , L . 1999 . Simulation input modelling . Proceedings of the 31st conference on winter simulation: simulation–a bridge to the future. vol. 1 . 5–8 December 1999 , Phoenix, Arizona. pp. 14 – 23 .
   Google Scholar
• Li , Z . 2007 . Failure event prediction using the Cox proportional hazard model driven by frequent failure signatures . IIE Transactions , 39 ( 3 ) : 303 – 315 .
   Web of Science ®Google Scholar
• Liao , HT , Elsayed , EA and Chan , LY . 2006 . Maintenance of continuously monitored degrading systems . European Journal of Operational Research , 175 ( 2 ) : 821 – 835 .
   Web of Science ®Google Scholar
• Makis , V and Jardine , AKS . 1992 . Optimal replacement in the proportional hazards model . INFOR , 30 ( 1 ) : 172 – 183 .
   Google Scholar
• Percy , DF and Kobbacy , AH . 2000 . Determining economical maintenance intervals . International Journal of Production Economics , 67 ( 1 ) : 87 – 94 .
   Google Scholar
• Pichitlamken, J., 2002. A combined procedure for optimization via simulation. Dissertation (PhD). Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois.
   Google Scholar
• Pichitlamken , J and Nelson , B . 2003 . A combined procedure for optimization via simulation . ACM Transactions on Modeling and Computer Simulation , 13 ( 2 ) : 155 – 179 .
   Google Scholar
• Rangan , A and Grace , RE . 1988 . A non-Markov model for the optimum replacement of self-repairing systems subject to shocks . Journal of Applied Probability , 25 ( 2 ) : 375 – 382 .
   Web of Science ®Google Scholar
• Shi , L and Chen , C . 2000 . A new algorithm for stochastic discrete resource allocation optimization . Discrete Event Dynamic Systems , 10 ( 3 ) : 271 – 294 .
   Web of Science ®Google Scholar
• Swisher , JR and Jacobson , SH . 1999 . A survey of ranking, selection, and multiple comparison procedures for discrete-event simulation . Proceedings of the 31st conference on winter simulation: simulation–a bridge to the future, vol. 1 . 5–8 December 1999 , Phoenix, Arizona. pp. 492 – 501 .
   Google Scholar
• Tapiero , CS and Venezia , I . 1979 . A mean variance approach to the optimal machine maintenance and replacement . The Journal of the Operational Research Society , 30 ( 5 ) : 457 – 466 .
   Web of Science ®Google Scholar
• Valdez-Flores , C and Feldman , RM . 1989 . A survey of preventive maintenance models for stochastically deteriorating single-unit systems . Naval Research Logistics , 36 ( 4 ) : 419 – 446 .
   Web of Science ®Google Scholar
• Wang , H . 2002 . A survey of maintenance policies of deteriorating systems . European Journal of Operational Research , 139 ( 3 ) : 469 – 489 .
   Web of Science ®Google Scholar
• Wang , W . 2000 . A model to determine the optimal critical level and the monitoring intervals in condition-based maintenance . International Journal of Production Research , 38 ( 6 ) : 1425 – 1436 .
   Web of Science ®Google Scholar