Multitype branching processes with immigration in random environment, and polling systems View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-01

AUTHORS

V. A. Vatutin

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 process for a life period. Using this result, we investigate the tail distributions of the busy periods of the queueing polling systems of branching type with random service disciplines and random positive switch-over times. More... »

PAGES

42-72

Identifiers

URI

http://scigraph.springernature.com/pub.10.3103/s1055134411010020

DOI

http://dx.doi.org/10.3103/s1055134411010020

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1015163322


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