regenerative input
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scholarly journals Jackson network in a random environment: strong approximation

2020 ◽  
pp. 144-149
Author(s):  
Elena Bashtova ◽  
◽  
Elena Lenena ◽  
Keyword(s):  
Brownian Motion ◽  
Random Environment ◽  
Strong Approximation ◽  
Random Variables ◽  
Reflected Brownian Motion ◽  
Jackson Network ◽  
Positive Orthant ◽  
Queue Lengths ◽  
Regenerative Input ◽  
Environment Influence

We consider a Jackson network with regenerative input flows in which every server is subject to a random environment influence generating breakdowns and repairs. They occur in accordance with two independent sequences of i.i.d. random variables. We establish a theorem on the strong approximation of the vector of queue lengths by a reflected Brownian motion in positive orthant.

Stability Analysis of a Multi-server Model with Simultaneous Service and a Regenerative Input Flow

2019 ◽  
Vol 22 (4) ◽  
pp. 1439-1455 ◽  
Author(s):  
Larisa Afanaseva ◽  
Elena Bashtova ◽  
Svetlana Grishunina
Keyword(s):  
Stability Analysis ◽  
Input Flow ◽  
Multi Server ◽  
Regenerative Input

Probabilities of Large Deviations for a Queue with Regenerative Input Flow

2016 ◽  
Vol 60 (1) ◽  
pp. 120-126 ◽  
Author(s):  
L. G. Afanasyeva ◽  
E. E. Bashtova
Keyword(s):  
Large Deviations ◽  
Input Flow ◽  
Probabilities Of Large Deviations ◽  
Regenerative Input

Multichannel Queueing Systems with Regenerative Input Flow

2014 ◽  
Vol 58 (2) ◽  
pp. 174-192 ◽  
Author(s):  
L. G. Afanasyeva ◽  
A. V. Tkachenko
Keyword(s):  
Queueing Systems ◽  
Input Flow ◽  
Regenerative Input

Coupling method for asymptotic analysis of queues with regenerative input and unreliable server

2013 ◽  
Vol 76 (2) ◽  
pp. 125-147 ◽  
Author(s):  
L. G. Afanasyeva ◽  
E. E. Bashtova
Keyword(s):  
Asymptotic Analysis ◽  
Coupling Method ◽  
Unreliable Server ◽  
Regenerative Input
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