17 citations · 23 across the 14 of their papers we have counts for
14 papers
Product-Form Distribution and Reversibility of Inhomogeneous Symmetric Simple Exclusion Process with Open Boundaries
Marina V. Yashina, Alexander G. Tatashev
We consider an inhomogeneous symmetric simple exclusion process on a one-dimensional lattice with open boundary conditions. The time scale is continuous. Particles of different typ…
Approximate Approach to Compute Characteristics of Inhomogeneous TASEP with Open Boundaries
Marina V. Yashina, Alexander G. Tatashev
A discrete-time totally asymmetric simple exclusion process on a lattice with open boundaries is considered. There are particles of different types. The type of a particle is chara…
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…
Synchronous Heterogeneous Exclusion Processes on Open Lattice
Marina V. Yashina, Alexander G. Tatashev
A traffic model on an open one-dimensional lattice is considered. At any discrete time moment, with prescribed probability, a particle arrives to the leftmost cell of the lattice,…
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…