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Reliability Analysis of a Complex System Using Boolean Function Technique

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Stochastic Processes and their Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 370))

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Abstract

This paper deals with reliability analysis of a complex system consisting of two subsystems, connected in parallel. Each subsystem consists of a generator, one main switchboard and a given number of auxiliary switchboards. Two models of this system are studied. The reliability of the system with its imposed conditions is then calculated using the Boolean function technique and combinatorial methods. Some special cases are studied and a numerical example is provided.

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Reference

  1. Fratta. L. and Montanari, U.G., A Boolean Algebra method for computing the terminal reliability in a communication network, IEEE Trans.Circuit Theory, 1973, Vol. C-20, pp 203–211.

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  2. Gupta. R. P. and Sharma. R. K., Reliability and MTTF analysis of power plant consisting of three generators by Boolean function technique, Microelectronics and Reliability, 1986, Vol.26, pp 641–645.

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Author information

Authors and Affiliations

  1. Department of Statistics, National University of Lesotho, Lesotho, South Africa

    Yadavalli V. S. Sarma

  2. Actuarial Department, Mutual Life, Jamaica

    Howard P. Hines

Authors
  1. Yadavalli V. S. Sarma
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  2. Howard P. Hines
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Editor information

Editors and Affiliations

  1. Brown University, 02912, Providence, RI, USA

    M. J. Beckmann

  2. Institut für Angewandte Mathematik, Technische Universität München, München, Germany

    M. J. Beckmann

  3. Department of Mathematics, Indian Institute of Technology, Bombay, India

    M. N. Gopalan

  4. Department of Mathematics, Indian Institute of Technology, Madras, India

    R. Subramanian

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© 1991 Springer-Verlag Berlin Heidelberg

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Sarma, Y.V.S., Hines, H.P. (1991). Reliability Analysis of a Complex System Using Boolean Function Technique. In: Beckmann, M.J., Gopalan, M.N., Subramanian, R. (eds) Stochastic Processes and their Applications. Lecture Notes in Economics and Mathematical Systems, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58201-1_22

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  • DOI: https://doi.org/10.1007/978-3-642-58201-1_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54635-1

  • Online ISBN: 978-3-642-58201-1

  • eBook Packages: Springer Book Archive

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