The signature is an important structural characteristic of a coherent system. Its computation, however, is often rather involved and complex. We analyze several cases where this complexity can be considerably reduced. These are the cases when a 'large' coherent system is obtained as a series, parallel, or recurrent structure built from 'small' modules with known signature. Corresponding formulae can be obtained in terms of cumulative notions of signatures. An algebraic closure property of families of homogeneous polynomials plays a substantial role in our derivations.
SIGNATURES OF COHERENT SYSTEMS BUILT WITH SEPARATE MODULES / Ilya, Gertsbakh; Yoseph, Shpungin; Spizzichino, Fabio. - In: JOURNAL OF APPLIED PROBABILITY. - ISSN 0021-9002. - STAMPA. - 48:3(2011), pp. 843-855. [10.1239/jap/1316796919]
SIGNATURES OF COHERENT SYSTEMS BUILT WITH SEPARATE MODULES
SPIZZICHINO, Fabio
2011
Abstract
The signature is an important structural characteristic of a coherent system. Its computation, however, is often rather involved and complex. We analyze several cases where this complexity can be considerably reduced. These are the cases when a 'large' coherent system is obtained as a series, parallel, or recurrent structure built from 'small' modules with known signature. Corresponding formulae can be obtained in terms of cumulative notions of signatures. An algebraic closure property of families of homogeneous polynomials plays a substantial role in our derivations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
