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ON THE SIGNATURE OF COHERENT SYSTEMS AND APPLICATIONS

Published online by Cambridge University Press:  18 December 2007

Ioannis S. Triantafyllou  and
Markos V. Koutras
Ioannis S. Triantafyllou
Affiliation:
Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece E-mail: itrantal@unipi.gr; mkoutras@unipi.gr
Markos V. Koutras
Affiliation:
Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece E-mail: itrantal@unipi.gr; mkoutras@unipi.gr
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Abstract

In the present article we provide a formula that facilitates the evaluation of the signature of a reliability structure by a generating function approach. A simple sufficient condition is also derived for proving the nonpreservation of the IFR property for the system's lifetime (when the components are IFR) by exploiting the signature of the system. As an application of the general results, we deduce recurrence relations for the signature of a linear consecutive k-out-of-n: F system. We establish a simple relation between the signature of a linear and a circular system and investigate the IFR preservation property under the formulation of such systems.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 22 , Issue 1 , January 2008 , pp. 19 - 35
Copyright
Copyright © Cambridge University Press 2008

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