Multitype branching processes with immigration in random environment and polling systems
Probability
2015-03-17 v1
Abstract
For multitype branching processes with immigration evolving in a random environment and producing a final product we find the tail distribution of the size of the final product accumulated in the system for a life period. Using this result we investigate the tail distribution of the busy periods of the branching type polling systems with random service disciplines and random positive switch-over times
Cite
@article{arxiv.1004.4973,
title = {Multitype branching processes with immigration in random environment and polling systems},
author = {Vladimir Vatutin},
journal= {arXiv preprint arXiv:1004.4973},
year = {2015}
}
Comments
40 pages