[图书][B] Switching processes in queueing models

V Anisimov - 2013 - books.google.com
Switching processes, invented by the author in 1977, is the main tool used in the
investigation of traffic problems from automotive to telecommunications. The title provides a …

[引用][C] CONDITIONS FOR THE CONVERGENCE OF BRANCHING PROCESSES WITH IMMIGRATION STARTING FROM A LARGE NUMBER OF PARTICLES

HK Zhumakulov - Galaxy International Interdisciplinary Research Journal, 2022 - giirj.com
ξ ε ξ ε Dε Page 1 GALAXY INTERNATIONAL INTERDISCIPLINARY RESEARCH JOURNAL (GIIRJ)
ISSN (E): 2347-6915 Vol. 10, Issue 12, Dec. (2022) 309 CONDITIONS FOR THE …

Switching processes: averaging principle, diffusion approximation and applications

VV Anisimov - Acta Applicandae Mathematica, 1995 - Springer
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 …

[图书][B] Matrix-analytic methods in stochastic models

S Chakravarthy, AS Alfa - 1996 - books.google.com
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 …

Gaussian approximation of multi-channel networks in heavy traffic

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 …

Averaging methods for transient regimes in overloading retrial queueing systems

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 …

Diffusion approximation in overloaded switching queueing models

VV Anisimov - Queueing systems, 2002 - Springer
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 …

Switching stochastic models and applications in retrial queues

VV Anisimov - Top, 1999 - Springer
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 …

On transient and stationary regimes for multi-channel networks with periodic inputs

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 …

[PDF][PDF] Conditions Of Gaussian Non-Markov Approximation For Multi-Channel Networks.

HV Livinska, EO Lebedev - ECMS, 2015 - scs-europe.net
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 …