Branching Processes and Queueing Systems (Session One)
by Prof. Vladimir A. Vatutin
Abstract: A brief description of the course:
The course of lectures is devoted to branching processes and their
applications in queueing theory. Our lectures include:
1. Classification of Markov branching processes; asymptotic behavior of
the survival probability.
2. Branching processes with ordinary or state-dependent immigration.
Queueing systems under heavy traffic: systems with permanent customers or
3. Branching processes with final product and queueing system with SIRO
(service in random order) discipline; branching processes with immigration
counted by random characteristics; $M|G|1$ systems with retrials (repeated
calls); regeneration processes and branching processes;
4. Multitype Markov processes (classification and basic properties);
polling queueing systems with gated and exhaustive disciplines.
5. Crump-Mode-Jagers processes and some related queueing systems.
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