A special class of processes with discrete interference of chance-switching processes (SP), is introduced. The limit theorems for these processes in the case of 'fast'switching (averaging …
Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models, held in Flint, Michigan, this book presents a general working …
E Lebedev, G Livinska - Modern Probabilistic Methods for Analysis of …, 2013 - Springer
In the paper the multichannel stochastic networks are considered. From the outside on each node of the network a Poisson input flow of calls arrives. An approximate method of studying …
VV Anisimov - Mathematical and Computer Modelling, 1999 - Elsevier
A new approach is suggested to study transient and stable regimes in overloading retrial queueing systems. This approach is based on limit theorems of averaging principle and …
The asymptotic behavior of a queueing process in overloaded state-dependent queueing models (systems and networks) of a switching structure is investigated. A new approach to …
Some special classes of Switching Processes such as Recurrent Processes of a Semi- Markov type and Processes with Semi-Markov Switches are introduced. Limit theorems of …
H Livinska, E Lebedev - Applied Mathematics and Computation, 2018 - Elsevier
In this paper, a multi-channel queuing network with a periodic input flow is considered. The multivariate service process is studied in transient and stationary regimes as the number of …
In this paper the asymptotic analysis of multi-channel queueing networks is developed. Service processes in a heavy traffic regime for [|, and-models are considered. Functional …