Skip to main content

Warranty/Maintenance: On Modeling Non-zero Rectification Times

  • Chapter
  • First Online:
Book cover Stochastic Reliability and Maintenance Modeling

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY,volume 9))

  • 1897 Accesses

Abstract

This chapter revisits modelling of warranty/maintenance costs under the assumption that both, the warranty repairs and the maintenance actions, require non-negligible completion time. We provide an intuition on this topic by summarising our previous results, as well as the published work of other authors. We closely examine a case study that provides an excellent motivation for extending the research in this area. Also, again assuming non-negligible repair and maintenance times, we propose a simulation model for the expected warranty costs that integrates the concepts of reliability improvement and warranty. We conclude with a discussion on new directions for future research.

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

Access this chapter

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 EPUB and 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

Institutional subscriptions

References

  1. Barlow RE, Hunter LC (1960) Optimal preventive maintenance policies. Operations Research 8:90–100

    Article  MathSciNet  MATH  Google Scholar 

  2. Chukova S, Hayakawa Y (2004) Warranty cost analysis: non-zero repair time. Applied Stochastic Models in Business and Industry 20:59–71

    Article  MathSciNet  MATH  Google Scholar 

  3. Chukova S, Hayakawa Y (2004) Warranty cost analysis: renewing warranty with non-zero repair time. Int J Reliab Qual Saf Eng 1:1–20

    Google Scholar 

  4. Fang YT, Liu BY (2006) Preventive repair policy and replacement policy of repairable system taking non-zero preventive repair time. J Zhejiang Univ SCI A 7:207–212

    Article  MathSciNet  MATH  Google Scholar 

  5. Pham H, Wang H (1996) Imperfect maintenance. Eur J Oper Res 94:425–438

    MATH  Google Scholar 

  6. Pintelon LMA, Van Puyvelde FLB, Gelders LF (1995) An age-based replacement policy with non-zero repair times for a continuous production process. Int J Prod Res 3:2111–2123

    Article  Google Scholar 

  7. Ross S (1996) Stochastic Processes. John Wiley & Sons

    Google Scholar 

  8. Tijms H (1986) Stochastic Modeling and Analysis. Wiley, New York

    Google Scholar 

  9. Wang GJ, Zhang YL (2006) Optimal periodic preventive repair and replacement policy assuming geometric process repair. IEEE Transactions on Reliability 55:118–122

    Article  Google Scholar 

  10. Xie M (1989) On the solution of renewal-type integral equations. Communications in Statistics - Simulation 18:281–293

    Article  MATH  Google Scholar 

  11. Zhang YL (1994) A bivariate optimal replacent policy for repairable systems. J Appl Probab 31(4):1123–1127

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

We would like to dedicate this study to Professor Shunji Osaki, in appreciation of his significant contributions to reliability theory and related fields, which inspired us in our effort to advance our own research. In addtion, we thank Professor Estate Khmaladze, Dr Mark Johnston, and Dr Richard Arnold from the School of Mathematics, Statistics and Operations Research, Victoria University of Wellington, New Zealand, for their support during the preparation of this manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stefanka Chukova .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag London

About this chapter

Cite this chapter

Chukova, S., Hayakawa, Y. (2013). Warranty/Maintenance: On Modeling Non-zero Rectification Times. In: Dohi, T., Nakagawa, T. (eds) Stochastic Reliability and Maintenance Modeling. Springer Series in Reliability Engineering, vol 9. Springer, London. https://doi.org/10.1007/978-1-4471-4971-2_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-4971-2_4

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4970-5

  • Online ISBN: 978-1-4471-4971-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics