A unified treatment of single component replacement models

Mathematical Methods of Operations Research

Volumn 45, Issue 3, 1997, Pages 437-454

  Frenk, Hans ^a   Dekker, Rommert ^a   Kleijn, Marcel ^a  

^a ERASMUS UNIVERSITY ROTTERDAM   (Netherlands)

Author keywords

Cost Intensity Function; Maintenance; Renewal Theory

Indexed keywords

COSTS; FUNCTIONS; MATHEMATICAL MODELS; SYSTEMS ANALYSIS;

COST INTENSITY FUNCTION; RENEWAL THEORY; SINGLE COMPONENT REPLACEMENT MODELS; UNIFIED TREATMENT;

MAINTENANCE;

EID: 0030653212     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01194789     Document Type: Article

References (31)

1. Ash RB (1972) Real analysis and probability. Academic Press, New York
2. Asmussen S (1987) Applied probability and queues. Wiley, New York
3. Barlow RE, Proschan F (1967) Mathematical theory of reliability. Wiley, New York
4. Berg M (1980) A marginal cost analysis for preventive maintenance policies. European Journal of Operational Research 4:136-142
5. Berg M (1995) The marginal cost analysis and its application to repair and replacement policies. European Journal of Operational Research 82:214-224
6. Berg M (1996) Economics oriented maintenance analysis and marginal cost approach. In: Özekici S (ed) Reliability and maintenance of complex systems. Springer-Verlag, Berlin
7. Berg M, Epstein B (1979) A note on a modified block replacement policy for units with increasing marginal running costs. Naval Research Logistics Quarterly 26:157-179
8. Block HW, Borges WS, Savits TH (1988) A general age replacement model with minimal repair. Naval Research Logistics 35:365-372
9. Cleroux R, Hanscom M (1974) Age replacement with adjustment and deprecation costs and interest charges. Technometrics 16:235-239
10. Dekker R, Smeitink E (1991) Opportunity based block replacement. European Journal of Operational Research 53:46-62
11. Feller W (1971) An Introduction to probability theory and its applications, volume 2. Wiley, New York
12. Fox B (1966) Age replacement with discounting. Operations Research 14:535-537
13. Frenk JBG, Dekker R, Kleijn MJ (1996) A unified treatment of single component replacement models. Technical Report 9602/A, Econometric Institute, Erasmus University Rotterdam, The Netherlands, report available on internet http://www.eur.nl/few/ei/papers
14. Loeve M (1977) Probability theory I. Springer-Verlag, New York
15. Makis V, Jardine AKS (1991) Optimal replacement of a system with imperfect repair. Microelectron. Reliability 31:381-388
16. Makis V, Jardine AKS (1992) Optimal replacement policy for a general model with imperfect repair. Journal of the Operational Research Society 43:111-120
17. McCall JJ (1965) Maintenance policies for stochastically failing equipment: A survey. Management Science 11:493-524
18. Mikolás M (1994) Real functions. Abstract spaces and orthogonal series. Akademia Kiadó, Budapest
19. Muth EJ (1977) An optimal decision rule for repair vs. replacement. IEEE Transactions on Reliability 26:179-181
20. Nakagawa T, Kowada M (1988) Analysis of a system with minimal repair and its application to replacement policy. European Journal of Operational Research 12:176-182
21. Pierskalla WP, Voelker JA (1979) A survey of maintenance models: the control and surveillance of deteriorating systems. Naval Research Logistics Quarterly 23:353-388
22. Ran A, Rosenlund SI (1976) Age replacement with discounting for a continuous maintenance cost model. Technometrics 18:459-465
23. Ross SM (1970) Applied probability models with optimization applications. Holden-Day, San Francisco
24. Schaeffer RL (1971) Optimum age replacement with an increasing cost factor. Technometrics 13:139-144
25. Sherif YS, Smith ML (1981) Optimal maintenance models for systems subject to failure - a review. Naval Research Logistics Quarterly 28:47-74
26. Sivazlian BD (1973) On the discounted replacement problem with arbitrary repair time distribution. Management Science 19:1301-1309
27. Valdez-Flores C, Feldman RM (1989) A survey of preventive maintenance for stochastically deteriorating single component systems. Naval Research Logistics Quarterly 36:419-446
28. Van Weeren S (1995) Single-component maintenance and fractional programming. Master Thesis, Econometric Institute, Erasmus University Rotterdam, The Netherlands
29. Wolff RW (1989) Stochastic modelling and the theory of queues. Prentice Hall, London
30. Zijlstra M (1979) Regenerative replacement policies with general cost structures. ISA-Research-SP note 92 (second revised edition), N. V. Philips, Eindhoven
31. Zijlstra M (1981) Renewal replacement policies for one unit systems. European Journal of Operational Research 8:289-293