Multitype branching processes with immigration in random environment and polling systems
arXiv:1004.4973
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
arXiv comment40 pages