Skip to main content
SpringerLink
Log in

Maintenance Analysis of a System with Varying Repair Rate and Vacation Period for the Repair Facility

  • Conference paper
  • First Online:
9th WCEAM Research Papers

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 1563 Accesses

Abstract

Maintenance analysis of an n-unit warm standby system with varying repair rate and the vacation period for the repair facility is studied in this paper. This vacation period occurs after each repair completion. Also, the repair rate of a unit depends on the number of failed units at the epoch of the commencement of the repair. The life time of a unit while on line is arbitrarily distributed random variable, while in standby has a constant failure rate. Identifying suitable regeneration points, expressions for the availability, reliability and the profit function are derived. A numerical example provided to illustrate the results obtained.

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

Access this chapter

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight 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. El-Sherbeny MS (2012) Cost benefit analysis of series systems with mixed standby components and k-stage Erlang repair time. Int J Probab Stat 1(2):11–18

    Article  Google Scholar 

  2. Huang K, Dong WL, Ke JB (2006) Comparison of reliability and the availability between four systems with warm standby components and standby switching failures. Appl Math Comput 183:1310–1322

    Google Scholar 

  3. Kumar A, Aggarwal M (1980) A review of standby redundant system. IEEE Trans Rel R-29:290–294

    Google Scholar 

  4. Lie CH, Hwang CL, Tillman FA (1977) Availability of maintained systems: a state-of-art-survey. AIIE Trans 9(3):247–259

    Article  Google Scholar 

  5. Osaki S, Nakagawa T (1976) Bibliography for reliability and availability of stochastic system. IEEE Trans Rel R-25:284–287

    Article  MathSciNet  MATH  Google Scholar 

  6. Subramanian R, Nataranjan R, Sarma YVS (1984) Reliability analysis of a standby system with varying repair rate. J Math Phys 18(s):127–137

    Google Scholar 

  7. Trivedi KS (2002) Probability and statistics with reliability, queuing and computer applications. Wiley, New York

    MATH  Google Scholar 

  8. Yuan L, Xu J (2011) A deteriorating system with its repairman having multiple vacations. Appl Math Comput 217:4980–4989

    MathSciNet  MATH  Google Scholar 

  9. Yuan L, Xu J (2011) An optimal replacement policy for a repairable system based on its repairman having vacations. Reliab Eng Syst Saf 96:278–295

    Article  Google Scholar 

  10. Subramanian R, Natarajan R (1981) Multiple unit standby redundant repairable system. IEEE Trans Rel R-30:387–388

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Industrial and Systems Engineering, University of Pretoria, Pretoria, South Africa

    Venkata S. S. Yadavalli, Shagufta Abbas & Johan W. Joubert

Authors
  1. Venkata S. S. Yadavalli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shagufta Abbas
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Johan W. Joubert
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Venkata S. S. Yadavalli .

Editor information

Editors and Affiliations

  1. Department of Engineering and Technology Management, University of Pretoria, Pretoria, South Africa

    Joe Amadi-Echendu

  2. Dynacon Consulting Engineers (Pty) Ltd, Johannesburg, South Africa

    Changela Hoohlo

  3. Asset Institute, Brisbane, Queensland, Australia

    Joe Mathew

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Yadavalli, V.S.S., Abbas, S., Joubert, J.W. (2015). Maintenance Analysis of a System with Varying Repair Rate and Vacation Period for the Repair Facility. In: Amadi-Echendu, J., Hoohlo, C., Mathew, J. (eds) 9th WCEAM Research Papers. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-15536-4_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-15536-4_19

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15535-7

  • Online ISBN: 978-3-319-15536-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation