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2009, Issue 12  


Foreword to the thematical issue “Centenary of the queuing theory”
S. F. Yashkov
3

New Lines of Development of the Queuing Theory
On mathematical models of the service networks
V. A. Malyshev
9
A new stage in mathematical teletraffic theory
G. P. Basharin, K. E. Samouylov, N. V. Yarkina, I. A. Gudkova
16
Teletraffic and the queuing theory
V. I. Neiman
29
Hundred years of A. K. Erlang's formula and studies of the teletraffic theory
A. D. Kharkevich
39
Stability analysis of regenerative queueing systems
E. V. Morozov, R. Delgado
42

Classical Models of the Queuing Theory and Generalizations
On mixing rate and convegence to stationary regime in discrete time Erlang problem
A. Yu. Veretennikov
59
On the nonstationary Erlang loss model
A. I. Zeifman
71
On the slow server problem
V. V. Rykov, D. V. Efrosinin
81

Non-classical Models of the Queuing Theory
Analysis and optimization of output processes of conflicting Gnedenko–Kovalenko traffic streams under cyclic control
M. A. Fedotkin, A. M. Fedotkin
92
A queueing system with negative claims and a bunker for superseded claims in discrete time
A. V. Pechinkin, R. V. Razumchik
109
A duplex cyclic polling system for mixed queues
V. M. Vishnevsky, O. V. Semyonova, S. A. Shpilev
121
On busy period and sojourn time distributions in the M/G/1-EPS queue with catastrophes
S. F. Yashkov, A. S. Yashkova
134
Unreliable multi-server system with controllable broadcasting service
A. N. Dudin, V. Sung
147
Stationary time characteristics of the $GI/M/n/\infty$ system with some variants of the generalized renovation discipline
I. S. Zaryadov, A. V. Pechinkin
161

Related Directions in Queuing Theory
Stochastic theory of inventory control
G. B. Rubal'skii
175
Computing ruin probability in the classical risk model
G. Sh. Tsitsiashvili
187
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