This article is cited in 2 papers

Trajectory methods for modeling multi-phase queuing systems

Yu. G. Savinov, M. V. Ismailova, M. E. Roslov

Ulyanovsk State University, Ulyanovsk, Russia

Abstract: A semimartingale (trajectory) approach to the description and modeling of multiphase queuing systems is developed. The models with blocking and delayed requests for multi-stage service are considered. The transition from the mathematical model to the iterative formulas, according to which the simulation modeling is carried out, is shown.

Keywords: multi-stage service, queuing system, semimartingale description, point process, compensator.

UDC: 519.218.5

Received: 26.03.2019