Stationary Characteristics of the Multichannel Queuewith FCFS Orbit And Threshold Control

In the paper we deal with a Markovian queueing system with heterogeneous servers and constant retrial rate. The system operates under a threshold policy. The system is described by quasi-birth-and-death process with infinitesimal matrix depending on the threshold levels. Using a matrix-geometric approach we perform a stationary analysis of the system, derive expressions for the mean performance measures and formulas for optimal threshold levels.

retrial queue, controllable queueing system, stationary regime, ergodicity condition, threshold control policy, waiting time distribution