Skip to main content
SpringerLink
Log in

Cost benefit analysis of a two dissimilar unit cold standby system with Weibull failure and repair laws

  • Original Article
  • Published:
International Journal of System Assurance Engineering and Management Aims and scope Submit manuscript

Abstract

This paper deals with cost benefit analysis of a single server two non-identical unit cold standby system with two modes of each unit: Normal and Total failure. One unit gets priority in operation as well as in repair over the other unit. The switching device to put the standby unit into operation is always perfect and instantaneous. Failure and repair time distributions of each unit are taken as Weibull with common shape parameter and different scale parameters. The system is observed at suitable regenerative epochs to obtain various measures of system effectiveness of interest to system designers and operation managers.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Notes

  1. The limits of integration are 0 to ∞ whenever they are not mentioned.

References

  • Brkic DM (1990) Interval estimation of the parameters β and η of the two parameter Weibull distribution. Microelectron Reliab 30(1):39–42

    Article  Google Scholar 

  • Dhillon BS (1984) Stochastic model for evaluating probability of system failure due to human error. Microelectron Reliab 24:921–924

    Article  Google Scholar 

  • Dhillon BS, Natesan J (1975) Stochastic analysis of outdoor power system in fluctuating environment. Microelectron Reliab 23:867–881

    Article  Google Scholar 

  • El-Said Khaled M, El-Sherbeny Mohamed S (2010) Stochastic analysis of a two-unit cold standby system with two-stage repair and waiting time. Sankhya-B 72(1):1–10

    Article  MathSciNet  MATH  Google Scholar 

  • Gupta R, Chaudhary A (1992) A two unit priority standby system subject to random shocks and Rayleigh failure time distribution. Microelectron Reliab 32(12):1713–1723

    Article  Google Scholar 

  • Gupta R, Goel CK, Tomer A (2010) Cost-benefit analysis of a three unit standby system with delayed replacement, repair and post repair. Rajasthan Acad Phy Sci 9:41–50

    MATH  Google Scholar 

  • Nakagawa T, Osaki S (1976) A summary of optimum preventive maintenance policies for two unit standby redundant system. Oper Res 20:171–187

    MathSciNet  MATH  Google Scholar 

  • Okumato K, Osaki S (1977) Optimum policies for a standby system with preventive maintenance. Oper Res Q 28:415–523

    Article  Google Scholar 

  • Osaki S, Okumato K (1977) Repair limit policies for a two unit standby redundant system with two phases repair. Microelectron Reliab 16:14–45

    Google Scholar 

Download references

Acknowledgments

The authors are highly grateful to the learned reviewers as well as editor of the journal for making critical comments and suggestions for improvement the quality of the article.

Author information

Authors and Affiliations

  1. Department of Statistics, C.C.S. University, Meerut, 250 004, India

    Rakesh Gupta & Pankaj Kumar

  2. Department of Mathematics, SCRIET, C.C.S. University, Meerut, 250 004, India

    Amit Gupta

Authors
  1. Rakesh Gupta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pankaj Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Amit Gupta
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rakesh Gupta.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gupta, R., Kumar, P. & Gupta, A. Cost benefit analysis of a two dissimilar unit cold standby system with Weibull failure and repair laws. Int J Syst Assur Eng Manag 4, 327–334 (2013). https://doi.org/10.1007/s13198-012-0091-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13198-012-0091-z

Keywords

Search

Navigation