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Two-Dimensional Signatures

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  04 February 2016

Ilya Gertsbakh ,
Yoseph Shpungin  and
Fabio Spizzichino
Ilya Gertsbakh*
Affiliation:
Ben Gurion University
Yoseph Shpungin*
Affiliation:
Shamoon College of Engineering
Fabio Spizzichino*
Affiliation:
Sapienza University of Rome
*
∗ Postal address: Department of Mathematics, Ben Gurion University, Shai Agnon 30/25, 69362, Tel-Aviv, Israel. Email address: elyager@bezeqint.net
∗∗ Postal address: Deptartment of Software Engineering, Shamoon College of Engineering, Bialik/Basel Streets, Beer Sheva, Israel. Email address: yosefs@sce.ac.il
∗∗∗ Postal address: Deptartment of Mathematics, Sapienza University of Rome, Piazzale Aldo Moro 2, 00185, Rome, Italy. Email address: fabio.spizzichino@uniroma1.it
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Abstract

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The notion of the signature is a basic concept and a powerful tool in the analysis of networks and reliability systems of binary type. An appropriate definition of this concept has recently been introduced for systems that have ν possible states (with ν ≥ 3). In this paper we analyze in detail several properties and the most relevant aspects of such a general definition. For simplicity's sake, we focus our attention on the case ν = 3. Our analysis will however provide a number of hints for understanding the basic aspects of the general case.

Keywords

Two-dimensional anchortwo-dimensional signatureG-series and G-parallel systemsmultistate recurrent systemhomogeneous polynomial

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection
Type
Research Article
Information
Journal of Applied Probability , Volume 49 , Issue 2 , June 2012 , pp. 416 - 429
Copyright
© Applied Probability Trust 

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