25 citations · 29 across the 18 of their papers we have counts for
5 papers · 1 filter
Bounds on the rate on convergence for Markovian queueing models with catastrophes
Alexander Zeifman
In this note, a general approach to the study of non-stationary Markov chains with catastrophes and the corresponding queuing models is considered, as well as to obtain estimates o…
Bounds for the accuracy of invalid normal approximation
Alexandra Dorofeeva, Victor Korolev, Alexander Zeifman
In applied probability, the normal approximation is often used for the distribution of data with assumed additive structure. This tradition is based on the central limit theorem fo…
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…
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…
Bounds for convergence rate in laws of large numbers for mixed Poisson random sums
Victor Korolev, Alexander Zeifman
In the paper, upper bounds for the rate of convergence in laws of large numbers for mixed Poisson random sums are constructed. As a measure of the distance between the limit and pr…