Routing and Singular Control for Queueing Networks in Heavy Traffic

1989 ◽  
Author(s):  
Luiz F. Martins ◽  
Harold J. Kushner
Keyword(s):  
Queueing Networks ◽  
Heavy Traffic ◽  
Singular Control

Routing and Singular Control for Queueing Networks in Heavy Traffic

1990 ◽  
Vol 28 (5) ◽  
pp. 1209-1233 ◽  
Author(s):  
Luiz Felipe Martins ◽  
Harold J. Kushner
Keyword(s):  
Queueing Networks ◽  
Heavy Traffic ◽  
Singular Control

Multi-channel queueing networks with interdependent input flows in heavy traffic

2019 ◽  
Vol 97 ◽  
pp. 113-125
Author(s):  
E. O. Lebedev ◽  
O. A. Chechelnitsky ◽  
G. V. Livinska
Keyword(s):  
Queueing Networks ◽  
Heavy Traffic

scholarly journals Heavy traffic analysis of a transportation network model

1996 ◽  
Vol 33 (03) ◽  
pp. 870-885
Author(s):  
William P. Peterson ◽  
Lawrence M. Wein
Keyword(s):  
Queueing Networks ◽  
Transportation Network ◽  
Heavy Traffic ◽  
Queueing Network ◽  
Network Models ◽  
Reflected Brownian Motion ◽  
Traffic Conditions ◽  
Heavy Traffic Analysis ◽  
Functional Central Limit ◽  
Heavy Traffic Conditions

We study a model of a stochastic transportation system introduced by Crane. By adapting constructions of multidimensional reflected Brownian motion (RBM) that have since been developed for feedforward queueing networks, we generalize Crane's original functional central limit theorem results to a full vector setting, giving an explicit development for the case in which all terminals in the model experience heavy traffic conditions. We investigate product form conditions for the stationary distribution of our resulting RBM limit, and contrast our results for transportation networks with those for traditional queueing network models.

scholarly journals Treelike queueing networks: asymptotic stationarity and heavy traffic

1998 ◽  
Vol 8 (2) ◽  
pp. 541-568
Author(s):  
Kuo-Hwa Chang ◽  
Richard F. Serfozo ◽  
Władysław Szczotka
Keyword(s):  
Queueing Networks ◽  
Heavy Traffic

scholarly journals On the Estimation in Multi-server Multi-Core Open Queuing Networks

2020 ◽  
Vol 8 ◽  
pp. 102-105
Author(s):  
Saulius Minkevicius
Keyword(s):  
Queueing Networks ◽  
Heavy Traffic ◽  
Queueing Systems ◽  
Functional Limit ◽  
Fluid Approximation ◽  
Traffic Conditions ◽  
Open Queueing Networks ◽  
Communications Theory ◽  
Multi Server ◽  
Heavy Traffic Conditions

The paper is devoted to the analysis of queueing systems in the context of the network and communications theory. We investigate the estimation in a multi-server multi-core open queueing networks and its applications to the theorems in heavy traffic conditions (fluid approximation, functional limit theorem, and law of the iterated logarithm) for a queue of jobs in a multi-server multi-core open queueing networks..

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