A Two-Priority Queueing System with Trunk Reservation, Infinite Capacity Buffers for Customers of Both Priorities, and Different Service Intensities for High-Priority and Non-priority Customers

摘要

A two-priority queueing system with trunk reservation, Poisson input flows of both priorities customers, infinite buffers and different exponential distributions of both priorities customers service times is considered. Trunk reservation means that there are some channels which can be used only by customers of high priority. Analytic relations to calculate the main stationary distributions of both priorities customers quantities are obtained.