controlled queues
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2009 ◽  
Vol 34 (4) ◽  
pp. 992-1007 ◽  
Author(s):  
Alexander Zadorojniy ◽  
Guy Even ◽  
Adam Shwartz

1992 ◽  
Vol 12 (3-4) ◽  
pp. 333-367 ◽  
Author(s):  
E. V. Krichagina ◽  
M. I. Taksar

1975 ◽  
Vol 7 (3) ◽  
pp. 656-671 ◽  
Author(s):  
John H. Rath

This paper studies a controlled queueing system in which the decisionmaker may change servers according to rules which depend only on the queue length. It is proved that for a given control policy a properly normalised sequence of these controlled queue length processes converges weakly to a controlled diffusion process as the queueing systems approach a state of heavy traffic.


1975 ◽  
Vol 7 (03) ◽  
pp. 656-671 ◽  
Author(s):  
John H. Rath

This paper studies a controlled queueing system in which the decisionmaker may change servers according to rules which depend only on the queue length. It is proved that for a given control policy a properly normalised sequence of these controlled queue length processes converges weakly to a controlled diffusion process as the queueing systems approach a state of heavy traffic.


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