Multitype branching processes with immigration in random environment and polling systems

Details Multitype branching processes with immigration in random environment and polling systems Multitype branching processes with immigration in random environment and polling systems

2010-04-28

arxiv.org/abs/1004.4973v1

Mathematics

Probability

40 pages

Scientific paper

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

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