Skip to main content
SpringerLink
Log in
Book cover

Maintenance Theory of Reliability pp 69–94Cite as

Age Replacement

  • Chapter

  • 1933 Accesses

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barlow RE and Proschan F (1965) Mathematical Theory of Reliability. J Wiley & Sons, New York.

    MATH  Google Scholar 

  2. Cox DR (1962) Renewal Theory. Methuen, London.

    MATH  Google Scholar 

  3. Glasser GJ (1967) The age replacement problem. Technometrics. 9:83–91.

    MathSciNet  Google Scholar 

  4. Scheaffer RL (1971) Optimum age replacement policies with an increasing cost factor. Technometrics 13:139–144.

    MATH  Google Scholar 

  5. Cléroux R, Hanscom M (1974) Age replacement with adjustment and depreciation costs and interest charges. Technometrics 16:235–239.

    MathSciNet  MATH  Google Scholar 

  6. Cléroux R, Dubuc S, Tilquin C (1979) The age replacement problem with minimal repair and random repair costs. Oper Res 27:1158–1167.

    MATH  Google Scholar 

  7. Subramanian R, Wolff MR (1976) Age replacement in simple systems with increasing loss functions. IEEE Trans on Reliab R-25:32–34.

    Article  MathSciNet  Google Scholar 

  8. Bergman B (1978) Optimal replacement under a general failure model. Adv Appl Prob 10:431–451.

    MATH  MathSciNet  Google Scholar 

  9. Block HW, Borges WS, Savits TH (1988) A general age replacement model with minimal repair. Nav Res Logist 35:365–372.

    MathSciNet  MATH  Google Scholar 

  10. Sheu SH, Kuo CM, Nakagawa T (1993) Extended optimal age replacement policy with minimal repair. RAIRO Oper Res 27:337–351.

    MathSciNet  MATH  Google Scholar 

  11. Sheu SH, Griffith WS, Nakagawa T (1995) Extended optimal replacement model with random minimal repair costs. Eur J Oper Res 85:636–649.

    MATH  Google Scholar 

  12. Sheu SH, Griffith WS (2001) Optimal age-replacement policy with age-dependent minimal-repair and random-leadtime. IEEE Trans Reliab 50:302–309.

    Google Scholar 

  13. Fox B (1966) Age replacement with discounting. Oper Res 14:533–537.

    MATH  Google Scholar 

  14. Ran A, Rosenland SI (1976). Age replacement with discounting for a continuous maintenance cost model. Technometrics 18:459–465.

    MathSciNet  MATH  Google Scholar 

  15. Berg M, Epstein B (1978) Comparison of age, block, and failure replacement policies. IEEE Trans Reliab R-27:25–28.

    Google Scholar 

  16. Ingram CR, Scheaffer RL (1976) On consistent estimation of age replacement intervals. Technometrics 18:213–219.

    MathSciNet  MATH  Google Scholar 

  17. Frees EW, Ruppert D (1985) Sequential non-parametric age replacement policies. Ann Stat 13:650–662.

    MathSciNet  MATH  Google Scholar 

  18. Léger C, Cléroux R (1992) Nonparametric age replacement: Bootstrap confidence intervals for the optimal costs. Oper Res 40:1062–1073.

    MathSciNet  MATH  Google Scholar 

  19. Popova E, Wu HC (1999) Renewal reward processes with fuzzy rewards and their applications to T-age replacement policies. Eur J Oper Res 117:606–617.

    Article  MATH  Google Scholar 

  20. Kordonsky KB, Gertsbakh I (1994) Best time scale for age replacement. Int J Reliab Qual Saf Eng 1:219–229.

    Google Scholar 

  21. Frickenstein SG, Whitaker LR (2003) Age replacement policies in two time scales. Nav Res Logist 50:592–613.

    MathSciNet  MATH  Google Scholar 

  22. Dohi T, Kaio N, Osaki S (2000) Basic preventive maintenance policies and their variations. In: Ben-Daya M, Duffuaa SO, Raouf A (eds) Maintenance, Modeling and Optimization. Kluwer Academic, Boston:155–183.

    Google Scholar 

  23. Kaio N, Doshi T, Osaki S (2002) Classical maintenance models. In: Osaki S (ed) Stochastic Models in Reliability and Maintenance. Springer, New York:65–87.

    Google Scholar 

  24. Dohi T, Kaio N, Osaki S (2003) Preventive maintenance models: Replacement, repair, ordering, and inspection. In: Pham H (ed) Handbook of Reliability Engineering. Springer, London:349–366.

    Google Scholar 

  25. Zheng X (1995) All opportunity-triggered replacement policy for multiple-unit systems. IEEE Trans Reliab 44:648–652.

    Google Scholar 

  26. Osaki S, Nakagawa T (1975) A note on age replacement. IEEE Trans Reliab R-24:92–94.

    Google Scholar 

  27. Nakagawa T, Yasui K (1982) Bounds of age replacement time. Microelectron Reliab 22:603–609.

    Article  Google Scholar 

  28. Nakagawa T, Osaki S (1977) Discrete time age replacement policies. Oper Res Q 28:881–885.

    Article  MATH  Google Scholar 

  29. Yasui K, Nakagawa T, Osaki S (1988) A summary of optimum replacement policies for a parallel redundant system. Microelectron Reliab 28:635–641.

    Article  Google Scholar 

  30. Nakagawa T (1985) Continuous and discrete age-replacement policies. J Oper Res Soc 36:147–154.

    MATH  Google Scholar 

  31. Berg M (1976) A proof of optimality for age replacement policies. J Appl Prob 13:751–759.

    MATH  Google Scholar 

  32. Bergman B (1980) On the optimality of stationary replacement strategies. J Appl Prob 17:178–186.

    MATH  MathSciNet  Google Scholar 

  33. Berg M (1995) The marginal cost analysis and its application to repair and replacement policies. Eur J Oper Res 82:214–224.

    Article  MATH  Google Scholar 

  34. Berg M (1996) Economics oriented maintenance analysis and the marginal cost approach. In: Özekici S (ed) Reliability and Maintenance of Complex Systems. Springer, New York:189–205.

    Google Scholar 

  35. Christer AH (1978) Refined asymptotic costs for renewal reward processes. J Oper Res Soc 29:577–583.

    MATH  Google Scholar 

  36. Ansell J, Bendell A, Humble S (1984) Age replacement under alternative cost criteria. Manage Sci 30:358–367.

    MATH  Google Scholar 

  37. Love CE, Guo R (1991) Using proportional hazard modelling in plant maintenance. Qual Reliab Eng Inter 7:7–17.

    Google Scholar 

  38. Bergman B, Klefsjö B (1982) A graphical method applicable to age replacement problems. IEEE Trans Reliab R-31:478–481.

    Google Scholar 

  39. Bergman B, Klefsjö B (1984) The total time on test concept and its use in reliability theory. Oper Res 32:596–606.

    Article  MathSciNet  MATH  Google Scholar 

  40. Bergman B (1985) On reliability theory and its applications. Scand J Statist 12:1–41.

    MATH  MathSciNet  Google Scholar 

  41. Kumar D, Westberg U (1997) Maintenance scheduling under age replacement policy using proportional hazard model and TTT-policy. Eur J Oper Res 99:507–515.

    Article  MATH  Google Scholar 

  42. Munter M (1971) Discrete renewal processes. IEEE Trans Reliab R-20:46–51.

    Google Scholar 

  43. Nakagawa T (1985) Optimization problems in k-out-of-n systems. IEEE Trans Reliab R-34:248–250.

    Google Scholar 

  44. Pham H (1992) On the optimal design of k-out-of-n: G subsystems. IEEE Trans Reliab R-41:572–574.

    Google Scholar 

  45. Kuo W, Zuo MJ (2003) Optimal Reliability Modeling. J Wiley & Sons, Hoboken NJ.

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag London Limited

About this chapter

Cite this chapter

(2005). Age Replacement. In: Maintenance Theory of Reliability. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/1-84628-221-7_3

Download citation

  • DOI: https://doi.org/10.1007/1-84628-221-7_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-939-5

  • Online ISBN: 978-1-84628-221-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation