[PDF][PDF] Some Ergodicity And Truncation Bounds For A Small Scale Markovian Supercomputer Model.

R Razumchik, AS Rumyantsev - ECMS, 2022 - scs-europe.net
In this paper we address the transient analysis of a markovian two-server supercomputer
model where customers are served by a random number of servers simultaneously. The …

Upper bound on the rate of convergence and truncation bound for non-homogeneous birth and death processes on Z

YA Satin, RV Razumchik, AI Zeifman… - Applied Mathematics and …, 2022 - Elsevier
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 …

A time-inhomogeneous Prendiville model with failures and repairs

V Giorno, AG Nobile - Mathematics, 2022 - mdpi.com
We consider a time-inhomogeneous Markov chain with a finite state-space which models a
system in which failures and repairs can occur at random time instants. The system starts …