polling model ergodicity conditions stationary distribution large transportation network regenerative process stochastic boundedness
Issue Date:
2007
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 18, No 1, (2007), 5p-17p
Abstract:
The questions of ergodicity and of existence of explicit formulas for the stationary distribution are examined for various types of transportation networks which can be viewed as polling models. Also several limit theorems are proved both for large symmetric and asymmetric networks.