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Regular variation in a fixed-point problem for single- and multi-class branching processes and queues
Published online by Cambridge University Press: 01 February 2019
Abstract
Tail asymptotics of the solution R to a fixed-point problem of the type R=DQ+∑1NRm are derived under heavy-tailed conditions allowing both dependence between Q and N and the tails to be of the same order of magnitude. Similar results are derived for a K-class version with applications to multi-type branching processes and busy periods in multi-class queues.
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- Original Article
- Information
- Advances in Applied Probability , Volume 50 , Issue A: Branching and Applied Probability , December 2018 , pp. 47 - 61
- Copyright
- Copyright © Applied Probability Trust 2018
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