3 papers
math.OC2024
Approximate Computation of Loss Probability for Queueing System with Capacity Sharing Discipline
M. V. Yashina, A. G. Tatashev
A multi-channel queueing system is considered. The arriving requests differ in their type. Requests of each type arrive according to a Poisson process. The number of channels requi…
math.PR2022
Approach to Evaluating Characteristics of Multichannel Loss System with FCFD Preempted Priority Discipline
A. G. Tatashev, O. V. Seleznjev, M. V. Yashina
In the paper we consider a multichannel loss preemptive priority system with a Poisson input and general service time distribution depending on the priority of job. Jobs of the sam…
math.OC2021
Spectrum for Discrete Closed Chain of Contours with Cluster Movement
P. A. Myshkis, A. G. Tatashev, M. V. Yashina
This paper studies a discrete dynamical system belonging to the class of the networks introduced by A.P.~Buslaev. The systems contains a finite set of contours. In any contour, the…