HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

Stochastic Automata Networks: Product Forms and Iterative Solutions

Brigitte Plateau 1 William J. Stewart 1
1 APACHE - Parallel algorithms and load sharing
ID-IMAG - Informatique et Distribution, Inria Grenoble - Rhône-Alpes, UJF - Université Joseph Fourier - Grenoble 1
Abstract : This article presents a global overview of recent results concerning stochastic automata networks. Among the topics considered is the formalism of an extended tensor algebra, the rigorous definition of a Markovian generator in the form of a descriptor, sufficient conditions for product form, the complexity of the vector-descriptor multiplication, the optimization of this product and some numerical results. The whole is illustrated by numerous typical examples.
Document type :
Reports
Complete list of metadata

https://hal.inria.fr/inria-00073760
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Wednesday, May 24, 2006 - 1:42:13 PM
Last modification on : Friday, February 4, 2022 - 3:08:52 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:57:22 PM

Identifiers

  • HAL Id : inria-00073760, version 1

Collections

Citation

Brigitte Plateau, William J. Stewart. Stochastic Automata Networks: Product Forms and Iterative Solutions. [Research Report] RR-2939, INRIA. 1996. ⟨inria-00073760⟩

Share

Metrics

Record views

80

Files downloads

243