Modeling and Analysis of Multi-channel Queuing System Transient Behavior for Piecewise-Constant Rates

Transient Behavior of a Two-Phase Queuing System with a Limitation on the Total Queue Size

“…An analysis of the stability of non-stationary Markov processes with continuous time, describing the functioning of the main classes of QSs with non-stationary input flows, including those varying according to a sinusoidal law, was carried out in [10,13,18,19]. In [21][22][23], the main performance characteristics of single-line and multi-line QSs with Poisson and correlated flows in transient mode are analyzed. This work studies the non-stationary performance characteristics of a two-phase QS with a limitation on the total buffer size of the two phases.…”