17 citations · 23 across the 14 of their papers we have counts for
6 papers · 1 filter
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…
Necessary Condition for Self-organization in the BML Model with Stochastic Direction Choice
Marina V. Yashina, Alexander G. Tatashev
A dynamical system is considered such that, in this system, particles move on a toroidal lattice of the dimension according to a version of the rule of particle mov…
Sufficient Loading Conditions for Self-organization in the -dimensional Version of BML Model with Stochastic Direction Choice
Valery V. Kozlov, Alexander G. Tatashev, Marina V. Yashina
A dynamical system is considered, which comprises an -dimensional lattice with periodic boundary conditions. Particles traverse this lat…
Optimal Competition Resolution Rule for Buslaev Controlled Binary Chain
Alexander Tatashev, Marina Yashina
A dynamical system, called a binary closed chain of contours, is studied. The dynamica system belongs to the class of Buslaev networks. The system contains {\it contours.} Ther…
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…
Discrete two-contour system with co-directional movement
M. V. Yashina, A. G. Tatashev, M. J. Fomina
The paper studies a discrete dynamical system, which belongs to the class of contour systems developed by A.P Buslaev. The system contains two closed contours. There are n cells an…