3 papers
math.PR2021
Upper bound on the rate of convergence and truncation bound for nonhomogeneous birth and death processes on
Yacov Satin, Rostislav Razumchik, Alexander Zeifman +1
We consider the well-known problem of the computation of the (limiting) time-dependent performance characteristics of one-dimensional continuous-time birth and death processes on $…
math.PR2020
Ergodicity Bounds for the Markovian Queue With Time-Varying Transition Intensities, Batch Arrivals and One Queue Skipping Policy
A. Zeifman, R. Razumchik, Y. Satin +1
In this paper we revisit the Markovian queueing system with a single server, infinite capacity queue and the special queue skipping policy. Customers arrive in batches, but are ser…
math.PR2020
Ergodicity and Perturbation Bounds for Queue with Balking, Catastrophes, Server Failures and Repairs
Alexander Zeifman, Yacov Satin, Ivan Kovalev +1
In this paper, we display methods for the computation of convergence and perturbation bounds for system with balking, catastrophes, server failures and repairs. Based o…