Elliptic Selberg integrals and conformal blocks. (English) Zbl 1041.33003
The paper studies a single service queueing system with priority and non-priority units, and with non-preemptive queue discipline. The service time of a priority unit has an arbitrary distribution, whereas service time of a non-priority unit is deterministic. The steady state probability generating functions of the queue size and the system size are obtained.
Reviewer: J. Saurer (Regensburg)
MSC:
33B99 | Elementary classical functions |
33E99 | Other special functions |
33C90 | Applications of hypergeometric functions |