Skip to main content
SpringerLink
Log in

Reliability Measures Analysis of a Computer System Incorporating Two Types of Repair Under Copula Approach

  • Chapter
  • First Online:
Numerical Methods for Reliability and Safety Assessment

Abstract

In this chapter, the authors have studied the reliability characteristics of a home or office based computer system constructed with hardware connectivity. The system contains multi possible stages that can be repaired. The designed system is studied by using the Markov process, supplementary variable technique, Laplace transformation, and Gumbel–Hougaard family of copula to obtain the various reliability measures such as transition state probabilities, availability, reliability, cost analysis, and sensitivity.

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 29.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 37.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
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

  • Andrews JD, Moss TR (1993) Reliability and risk assessment. Longman Scientific and Technical, London

    Google Scholar 

  • Azaron A, Katagiri H, Kato K, Sakawa M (2005) Reliability evaluation and optimization of dissimilar-component cold-standby redundant systems. J Oper Res Soc Jpn 48(1):71–88

    MathSciNet  MATH  Google Scholar 

  • Elyasi-Komari I, Gorbenko A, Kharchenko VS, Mamalis A (2011) Analysis of computer network reliability and criticality: technique and features. Int J Comm Netw Syst Sci 4(11):720–726

    Google Scholar 

  • Goel LR, Gupta R, Rana VS (1993) Reliability analysis of a satellite-based computer communication network system. Microelectron Reliab 33(2):119–126

    Article  Google Scholar 

  • Henley EJ, Kumamoto H (1992) Probabilistic risk assessment. IEEE Press, Piscataway

    Google Scholar 

  • Lyu MR (1996) Handbook of software reliability engineering, vol 3. IEEE Computer Society Press, Los Alamitos

    Google Scholar 

  • McCluskey EJ, Mitra S (2004) Fault tolerance. In: Tucker AB (ed) Computer science handbook, 2nd edn. Chapman and Hall/CRC Press, London, Chapter 25

    Google Scholar 

  • Nagiya K, Ram M (2013) Reliability characteristics of a satellite communication system including earth station and terrestrial system. Int J Perform Eng 9(6):667–676

    Google Scholar 

  • Nelsen RB (2006) An introduction to copulas, 2nd edn. Springer, New York

    MATH  Google Scholar 

  • Rajaraman V (2010) Fundamentals of computers. PHI Learning Pvt Ltd, New Delhi

    Google Scholar 

  • Ram M (2010) Reliability measures of a three-state complex system: a copula approach. Appl Appl Math 5(10):1483–1492

    MathSciNet  MATH  Google Scholar 

  • Ram M (2013) On system reliability approaches: a brief survey. Int J Syst Assur Eng Manag 4(2):101–117

    Article  Google Scholar 

  • Ram M, Singh SB (2008) Availability and cost analysis of a parallel redundant complex system with two types of failure under preemptive-resume repair discipline using Gumbel-Hougaard family copula in repair. Int J Reliab Qual Saf Eng 15(04):341–365

    Article  Google Scholar 

  • Ram M, Singh SB (2010a) Analysis of a complex system with common cause failure and two types of repair facilities with different distributions in failure. Int J Reliab Saf 4(4):381–392

    Article  Google Scholar 

  • Ram M, Singh SB (2010b) Availability, MTTF and cost analysis of complex system under preemptive-repeat repair discipline using Gumbel-Hougaard family copula. Int J Qual Reliab Manag 27(5):576–595

    Article  Google Scholar 

  • Ram M, Singh SB, Singh VV (2013) Stochastic analysis of a standby system with waiting repair strategy. IEEE Trans Syst Man Cybern Syst 43(3):698–707

    Article  MathSciNet  Google Scholar 

  • Singh VV, Ram M, Rawal DK (2013a) Cost analysis of an engineering system involving subsystems in series configuration. IEEE Trans Autom Sci Eng 10(4):1124–1130

    Article  Google Scholar 

  • Singh VV, Singh SB, Ram M, Goel CK (2013b) Availability, MTTF and cost analysis of a system having two units in series configuration with controller. Int J Syst Assur Eng Manag4(4):341–352

    Article  Google Scholar 

  • Soi IM, Aggarwal KK (1980) On human reliability trends in digital communication systems. Microelectron Reliab 20(6):823–830

    Article  Google Scholar 

  • Verma AK, Ajit S, Karanki DR (2010) Reliability and safety engineering, 1st edn. Springer, London. ISBN 978-1-84996-231-5

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Graphic Era University, Dehradun, Uttarakhand, India

    Nupur Goyal & Mangey Ram

  2. Department of Computer Science and Engineering, Graphic Era University, Dehradun, Uttarakhand, India

    Ankush Mittal

Authors
  1. Nupur Goyal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mangey Ram
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ankush Mittal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mangey Ram .

Editor information

Editors and Affiliations

  1. American University of the Mddle East, Al-Ahmadi, Egaila, Kuwait

    Seifedine Kadry

  2. INSA de Rouen Laboratoire d’Optimisation, National Institute of Applied Sciences, Saint Etienne de Rouvray, France

    Abdelkhalak El Hami

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Goyal, N., Ram, M., Mittal, A. (2015). Reliability Measures Analysis of a Computer System Incorporating Two Types of Repair Under Copula Approach. In: Kadry, S., El Hami, A. (eds) Numerical Methods for Reliability and Safety Assessment. Springer, Cham. https://doi.org/10.1007/978-3-319-07167-1_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-07167-1_12

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07166-4

  • Online ISBN: 978-3-319-07167-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation