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 v possible states (with v >= 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 v = 3. Our analysis will however provide a number of hints for understanding the basic aspects of the general case.

TWO-DIMENSIONAL SIGNATURES / Ilya, Gertsbakh; Yoseph, Shpungin; Spizzichino, Fabio. - In: JOURNAL OF APPLIED PROBABILITY. - ISSN 0021-9002. - STAMPA. - 49:2(2012), pp. 416-429. [10.1239/jap/1339878795]

TWO-DIMENSIONAL SIGNATURES

SPIZZICHINO, Fabio
2012

Abstract

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 v possible states (with v >= 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 v = 3. Our analysis will however provide a number of hints for understanding the basic aspects of the general case.
2012
g-series and g-parallel systems; homogeneous polynomial; homogeneous polynomials; multistate recurrent system; two-dimensional anchor; two-dimensional signature
01 Pubblicazione su rivista::01a Articolo in rivista
TWO-DIMENSIONAL SIGNATURES / Ilya, Gertsbakh; Yoseph, Shpungin; Spizzichino, Fabio. - In: JOURNAL OF APPLIED PROBABILITY. - ISSN 0021-9002. - STAMPA. - 49:2(2012), pp. 416-429. [10.1239/jap/1339878795]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/455088
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