Multiplicativity of Markov Chains with Multiaddress Routing

Authors:
M. Yu. Tyurikov
Affiliations:
-
Venue:
Problems of Information Transmission
Year:
2002

Citing 4
Cited 0

Systems in stochastic equilibrium

Systems in stochastic equilibrium
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers

Journal of the ACM (JACM)
Product Form and Local Balance in Queueing Networks

Journal of the ACM (JACM)
Markov network processes with product form stationary distributions

Queueing Systems: Theory and Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

A broad class of network Markov processes (including open queueing networks) with multiaddress routing and one type of calls is considered. Under such routing, the same call can simultaneously arrive at several nodes. For these processes, we found necessary and sufficient conditions of multiplicativity, that is, conditions of representability of a stationary distribution as a product of factors characterizing separate nodes.