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Schur Structure Functions

Published online by Cambridge University Press:  27 July 2009

A. M. Abouammah ,
E. El-Neweihi  and
F. Proschan
A. M. Abouammah
Affiliation:
Department of StatisticsKing Saud University Riyadh, 11451, Saudi Arabia
E. El-Neweihi
Affiliation:
Department of StatisticsKing Saud University Riyadh, 11451, Saudi Arabia and Department of Mathematics, Statistics, and Computer ScienceUniversity of Illinois at Chicago Chicago, Illinois 60680
F. Proschan
Affiliation:
Department of StatisticsThe Florida State University Tallahassee, Florida 32306
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Abstract

We define two new classes of multistate coherent systems by requiring, among other conditions, that their structure functions be Schur-concave (Schurconvex). The M + 1 performance levels of both the systems and their components are represented by the set [0, 1,…, M]. We present basic structural properties of the new classes. In particular, we study in some detail the number and form of the critical upper (lower) vectors to the various performance levels. We also present some probabilistic aspects of the new classes.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 3 , Issue 4 , October 1989 , pp. 581 - 591
Copyright
Copyright © Cambridge University Press 1989

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References

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