Multitype branching processes with immigration in random environment and polling systems
classification
🧮 math.PR
keywords
randombranchingdistributionenvironmentfinalimmigrationmultitypepolling
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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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