This book provides recent results on the stochastic approximation of systems by weak
convergence techniques. General and particular schemes of proofs for average, diffusion …

Several practical approaches have been used to estimate the probabilities of rare events
occurring in queueing processes. Rare events of practical interest can be considered as …

Negative arrivals are used as a control mechanism in many telecommunication and
computer networks. In the paper we analyze multiserver retrial queues; ie, any customer …

In this paper we introduce discrete-time semi-Markov random evolutions (DTSMREs) and
study asymptotic properties, namely, averaging, diffusion approximation, and diffusion …

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 …

This book is the first of two volumes on random motions in Markov and semi-Markov random
environments. This first volume focuses on homogenous random motions. This volume …

This book is the second of two volumes on random motions in Markov and semi-Markov
random environments. This second volume focuses on high-dimensional random motions …

The “small parameter method” is recently developed to efficiently solve various queueing
problems both analytically and numerically. In this chapter, the author discusses principles …

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 …