This article is cited in 4 papers

Stochastic Systems

Transient behavior of a two-phase queuing system with a limitation on the total queue size

V. M. Vishnevsky, K. A. Vytovtov, E. A. Barabanova

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: The transient mode of a two-phase queuing system with a Poisson input flow, exponential distribution of service time in each phase, and a limitation on the total buffer size of the two phases is considered. Nonstationary probabilities of system states are found using the Laplace transform. A numerical calculation and analysis of the system performance characteristics in transient mode with parameters corresponding to new-generation optical networks were carried out.

Keywords: two-phase queuing system, transient mode, Laplace transform.

Presented by the member of Editorial Board: B. M. Miller

Received: 16.04.2023
Revised: 15.11.2023
Accepted: 21.12.2023

DOI: 10.31857/S0005231024010056

 English version: Automation and Remote Control, 2024, 85:1, 46–59