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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

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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.

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References

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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
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  2. R. C. Garg
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  3. N. K. Malhotra
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  4. S. Kumar
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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

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

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