A sequential condition-based repair/replacement policy with non-periodic inspections for a system subject to continuous wear

Applied Stochastic Models in Business and Industry

Volumn 19, Issue 4, 2003, Pages 327-347

  Castanier, B ^a   Berenguer C ^b   Grall, A ^b  

^a ECOLE DES MINES DE NANTES   (France)

^b UNIVERSITÉ DE TECHNOLOGIE DE TROYES   (France)

Author keywords

Condition based maintenance; Inspection; Markov renewal process; Repair; Replacement; Stochastic model; Wear

Indexed keywords

AVAILABILITY; COSTS; INSPECTION; MARKOV PROCESSES; MATHEMATICAL MODELS; REPAIR; WEAR OF MATERIALS;

CONDITION-BASED MAINTENANCE; MARKOV RENEWAL PROCESS; NON-PERIODIC INSPECTIONS; REPLACEMENT; STOCHASTIC MODEL;

PREVENTIVE MAINTENANCE;

EID: 0347410797     PISSN: 15241904     EISSN: None     Source Type: Journal    
DOI: 10.1002/asmb.493     Document Type: Article

References (58)

1. Gertsbakh I. Models of Preventive Maintenance. North-Holland: Amsterdam, 1977
2. Gertsbakh I. Reliability Theory-With Applications to Preventive Maintenance. Springer: Berlin, 2000.
3. Coolen F, Dekker R. Analysis of a 2-phase model for optimization of condition-monitoring intervals. IEEE Transactions on Reliability 1995; 44(3):505-511.
4. Wijnmalen D, Hontelez J. Review of a Markov decision Algorithm for optimal inspections and revisions in a maintenance system with partial information. European Journal of Operational Research 1992; 62:96-104.
5. Coolen F, Coolen-Schrijner P. Condition monitoring: a new perspective. Journal of the Operational Research Society 2000; 51(3):311-319.
6. Christer A, Wang W, Sharp J. A state space condition monitoring model for furnace erosion prediction and replacement. European Journal of Operational Research 1997; 101:1-14.
7. Christer A, Wang W. A model of condition monitoring of a production plant. International Journal of Production Research 1992; 30(9):2199-2211.
8. Hontelez J, Burger H, Wijnmalen J. Optimum condition-based maintenance policies for deteriorating systems with partial information. Reliability Engineering and System Safety 1996; 51:267-274.
9. Christer A, Wang W. A simple condition monitoring model for a direct monitoring process. European Journal of Operational Research 1995; 82:258-269.
10. Scarf P. On the modelling of condition based maintenance. In Advances in Safety and Reliability-Proceedings of the ESREL'97 International Conference on Safety and Reliability, 17-20 June, 1997, Lisbon, Portugal, vol. 3, Guedes Soares C (ed.). Pergamon: New York, 1997; 1701-1708.
11. Valdez-Flores C, Feldman R. A survey of preventive maintenance models for stochastically deteriorating single-unit systems. Naval Research Logistics 1989; 36:419-446.
12. Wang H. A survey of maintenance policies of deteriorating systems. European Journal of Operational Research 2002; 139:469-489.
13. Wang W. A model to determine the optimal critical level and monitoring intervals in condition-based maintenance. International Journal of Production Research 2000; 38(6):1425-1436.
14. Wang W, Christer A. Towards a general condition based maintenance model for a stochastic dynamic system. Journal of the Operational Research Society 2000; 51(2):145-155.
15. Grall A, Dieulle L, Bérenguer C, Roussignol M. Continuous-time predictive-maintenance scheduling for a deteriorating system. IEEE Transactions on Reliability 2002; 51(2):141-150.
16. Grall A, Bérenguer C, Dieulle L. A condition-based maintenance policy for stochastically deteriorating systems. Reliability Engineering and System Safety 2002; 76: 167-180.
17. Castanier B, Grall A, Bérenguer C. Une structure multiseuil pour l'optimisation de la maintenance des systèmes à détérioration continue. Journal of Européen des Systèmes Automatisés 2001; 35(10):1235-1262 (in French).
18. Hopp W, Wu S.-C. Multiaction maintenance under Markovian deterioration and incomplete state information. Naval Research Logistics 1988; 35:447-462.
19. Lam C, Yeh R. Optimal maintenance policies for deteriorating systems under various maintenance strategies. IEEE Transactions on Reliability 1994; 43:423-430.
20. Park K. Optimal continuous-wear limit replacement under periodic inspections. IEEE Transactions on Reliability 1988; 37(1):97-102.
21. Park K. Optimal wear-limit replacement with wear-dependent failures. IEEE Transactions on Reliability 1988; 37(1)293-294.
22. Cocozza-Thivent C. Processus stochastiques et fiabilité des systèmes. In Mathématiques & Applications, vol. 28. Springer; Berlin, 1997 (in French).
23. Asmussen S. Applied Probability and Queues. Wiley Series in Probability and Mathematical Statistics. Wiley: New York, 1987.
24. Barata J, Guedes Soares C, Marseguerra M, Zio E. Modelling components degradation processes by Monte-Carlo simulation. In Safety and Reliability-Towards a Safer World-Proceedings of the European Conference on Safety and Reliability-ESREL 2001, 16-20 September 2001, Torino, Italy. Zio E, Demichela M, Piccinini n (eds), Politecnico di torino, 2001; 879-886.
25. Barata J, Guedes Soares C, Marsequera M, Zio E. Simulation modelling of repairable multi-component deteriorating systems for 'on-condition' maintenance optimisation. Reliability Engineering and System Safety 2002; 76:255-267.
26. van Noortwijk K, van Gelder P. Optimal maintenance decisions for berm breakwaters. Structural Safety 1996; 18(4):293-309.
27. van Noortwijk J, Klatter H. Optimal inspection decisions for the block mats of the eastern-scheldt barrier. Reliability Engineering and System Safety 1999; 65:203-211.
28. Speijker L, van Noortwijk J., Kok M, Cooke R. Optimal maintenance decisions for dikes. Probability in the Engineering and Informational Science 2000; 14:101-121.
29. Hong H. Inspection and maintenance planning of pipeline under external corrosion considering generation of new defects. Structural Safety 1999; 21:203-222.
30. Jeang A. Tool replacement policy for probabilistic tool life and random wear process. Quality and Reliability Engineering International 1999; 15:205-212.
31. van Noortwijk J, Cooke R, Kok M. A Bayesian failure model based on isotropic deterioration. European Journal of Operational Research 1995; 82:270-282.
32. Dagg R. Optimal Inspections and Maintenance for Stochastically Deteriorating Systems. Ph.D. Thesis, The city University, London, 1999.
33. Feller W. An Introduction to Probability Theory and Its Applications (2nd edn) Wiley Series in Probability and Mathematical Statistics. Wiley: New York, 1971.
34. Singpurwalla N. Gamma processes and their generalizations: an overview. In Engineering Probabilistic Design and Maintenance for Flood Protection, Cooke R, Mendel M, Vrijling (eds). Kluwer Academic: Dordrecht, 1997; 67-73.
35. van Noortwijk J, Kok M, Cooke R. Optimal maintenance decisions for the sea-bed protection of the eastern-scheldt barrier. In Engineering Probabilistic Design and maintenance for Flood Protection, Cooke R, Mendel M, Vrijling (eds). Kluwer Academic: Dordrecht, 1997; 25-51.
36. van der Weide H. Gamma processes. In Engineering Probabilistic Design and Maintenance for Flood Protection, Cooke R, Mendel M, Vrijling (eds). Kluwer Academic: Dordrecht, 1997; 77-82.
37. Jia X, A.H.C. A prototype cost model of functional check decisions in reliability-centered maintenance. Journal of the Operational Research Society 2002; 53(12):1380-1384.
38. van noortwijk J, Peerbolte E. Optimal sand nourishment decisions. Journal of Waterway, Port, Coastal, and Engineering 2000; 126: 30-38.
39. van Noortwijk J. Optimal replacement decisions for structures under stochastic deterioration. In Proceedings of the 8th IFIP WG 7.5 Working Conference on Reliability and Optimization of Structural Systems, Krakow, Poland, 1998, Nowak AS (ed). University of Michigan: Ann Arbor, 1998; 273-280.
40. Yang Y, Klutke G.-A. Lifetime-characteristics and inspections-schemes for Lévy degradation processes. IEEE Transactions on Reliability 2000; 49(4):377-382.
41. Singpurwala N, Wilson S. Failure models indexed by two scales. Advances in Applied Probability 1998; 30: 1058-1072.
42. Wang W, Scarf P, Smith M. On the application of a model of condition-based maintenance. Journal of the Operational Research Society 2000, 51:2118-1227.
43. Cooke R. Mendel M, Vrijling H (eds). Engineering Probabilistic Design and Maintenance for Flood Protection. Kluwer Academic Dordrecht, 1997.
44. Bogdanoff J, Kozin F. Probabilistic Models of Cumulative Damage. Wiley: New York, 1985.
45. Aven T. Condition based replacement policies-a counting process approach. Reliability Engineering and System Safety 1996; 51:275-281.
46. Castanier B. Modélisation stochastique et optimisation de la maintenance conditionnelle des systèmes à dégradation graduelle. Ph.D. Thesis, Université de technologie de Troyes, 2001 (in French).
47. Lam Y. An optimal maintenance model using a number of different actions. Microelectronics and Reliability 1997; 37(4):615-622.
48. Bloch-Mercier S. Stationary availability of a semi-Markov system with random maintenance. Applied Stochastic Models in Business and Industry 2000; 16:219-234.
49. Bloch-Mercier S. A preventive maintenance policy with sequential checking procedure for a Markov deteriorating system. European Journal of Operational Research 2002; 147:548-576.
50. Kopnov V. Optimal degradation processes control by two-level policies. Reliability Engineering and System Safety 1999; 66:1-11.
51. Pham H, Wang H. Imperfect maintenance. European Journal of Operational Research, 1996; 4:425-438
52. Aven T, Jensen U. Stochastic models in reliability. In Applications of Mathematics-Stochastic Modelling and Applied Probability. Springer: Berlin, 1999.
53. Newby M, Dagg R. Optimal inspection policies in the presence of covariates. In Decision Making and Risk Management-Proceedings of ESREL 2002-European Conference on Safety and Reliability, 19-20 March 2002, Lyon, France, 2002; 131-138.
54. Bertsekas D. Dynamic Programming: Deterministic and Stochastic Models. Prentice-Hall: Englewood Cliffs, NJ, 1987.
55. Hopp W, Kuo Y-L. An optimal structured policy for maintenance of partially observable aircraft engine components. Naval Research Logistics 1998; 45:335-352.
56. Cocozza-Thivent C. Convergence de fonctionnelles de processus semi-régénératifs, March 2000. Prépublications de l'Université de Marne la Vallée 02/2000 (in French).
57. Press W, Teukolsky S, Vetterling W, Flannery B. Numerical Recipes in Fortran-The art of Scientific Computing. Cambridge University Press: Cambridge, 1992.
58. Castanier B, Bérenguer C, Grall A. Stochastic maintenance planning for a repairable system which is inoperative during maintenance operations. In Proceedings of 6th International Conference on Probabilistic Safety Assessment and Management (PSAM 6), 23-28 June 2002, San Juan, Puerto Rico, USA, vol. 2, Bonano E, Camp A, Majors M, Thompson R. (eds), Elsevier: Amsterdam, 2002; 1365-1370.