Skip to main content
SpringerLink
Log in

Stochastic behaviour of a parallel redundant complex system with three types of components

Stochastisches Verhalten eines Systems bestehend aus 3 Typen mit jeweils parallel liegenden Komponenten

  • Published:
Computing Aims and scope Submit manuscript

Summary

The behaviour of a parallel redundant complex system with three types of components has been investigated. Mathematical model has been developed for exponential failure and general repair time distributions in respect of components in all the three classes. TheLaplace transforms of the various state probabilities have been obtained. Two particular cases have also been discussed in the end.

Zusammenfassung

Untersucht wird das Verhalten eines Systems, das sich aus Komponenten dreier Typen zusammensetzt, wobei die Komponenten eines speziellen Typs sämtlich parallel liegen. Es wird ein mathematisches Modell entwickelt unter der Annahme exponentiell verteilter Fehlerabstände sowie — mit einer Ausnahme —beliebig verteilter Reparaturzeiten. DieLaplace-Transformationen verschiedener Zustandswahrscheinlichkeiten werden hergeleitet; schließlich werden zwei Spezialfälle gesondert diskutiert.

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

Similar content being viewed by others

References

  1. Garg, R. C.: Analytical study of complex system having two types of components. Naval Research Logistics Quart.,10, No. 3 (1963).

  2. Garg, R. C.: Dependability of a complex system having two types of components. I.E.E.E. Transactions on Reliability. R-12, No.3 (1963).

  3. Garg, R. C., andN. K. Malhotra: Complex System Dependability, J.R.N.S.S.21, No. 4 (1966).

  4. Kulshrestha, D. K.: Analytic study of stand-by Redundant Complex System with General Repair Time Distributions3, 3 (1966).

    Google Scholar 

  5. Kumar, S., andN. K. Malhotra: Behaviour of Complex system having two types of components. Cahiers Centre d'Etudes de Recherche Operationnelle.9, No. 2 (1967).

  6. Pieruschka, E.: Principles of Reliability, p. 76–80. Englewood Cliffs, N. J.: Prentice Hall.

Download references

Author information

Authors and Affiliations

  1. Dept. of Scientific Evaluation, Ministry of Defence R & D Organisation, 101-M Block, New Delhi 1, India

    S. S. Srivastava,  R. C. Garg &  N. K. Malhotra

  2. Dept. of Mathematics, Royal Melbourne Institute of Technology, 124 La Trobe St., 3000, Melbourne, Vic., Australia

    S. Kumar

Authors
  1. S. S. Srivastava
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. C. Garg
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. K. Malhotra
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Srivastava, S.S., Garg, R.C., Malhotra, N.K. et al. Stochastic behaviour of a parallel redundant complex system with three types of components. Computing 7, 83–90 (1971). https://doi.org/10.1007/BF02279944

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02279944

Keywords

Search

Navigation