Semimartingale model of a queueing system with repeated priority service

Yu. G. Savinov, S. E. Zmeykov

Ulyanovsk State University, Russia

Abstract: The paper develops a trajectory approach to the mathematical description and modeling of queuing systems. A model with repeated priority service is shown. The transition from a mathematical model to iterative formulas, which are used for simulation, is shown.

Keywords: queueing system, simulation modeling, repeated service, point process, compensator

UDC: 519.872.3, 519.872.8

Received: 06.05.2025

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