cyclic polling
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Author(s):  
Carlos Martínez-Rodríguez ◽  
Raúl Montes-de-Oca ◽  
Patricia Saavedra


2015 ◽  
Vol 91 ◽  
pp. 303-317 ◽  
Author(s):  
P. Vis ◽  
R. Bekker ◽  
R.D. van der Mei


2015 ◽  
Vol 11 (3) ◽  
pp. 763-777 ◽  
Author(s):  
Jeongsim Kim ◽  
◽  
Bara Kim ◽  


2014 ◽  
Vol 46 (1) ◽  
pp. 76-101 ◽  
Author(s):  
Maria Remerova ◽  
Sergey Foss ◽  
Bert Zwart

In the present paper, we study the evolution of an overloaded cyclic polling model that starts empty. Exploiting a connection with multitype branching processes, we derive fluid asymptotics for the joint queue length process. Under passage to the fluid dynamics, the server switches between the queues infinitely many times in any finite time interval causing frequent oscillatory behavior of the fluid limit in the neighborhood of zero. Moreover, the fluid limit is random. In addition, we suggest a method that establishes finiteness of moments of the busy period in an M/G/1 queue.



2014 ◽  
Vol 46 (01) ◽  
pp. 76-101 ◽  
Author(s):  
Maria Remerova ◽  
Sergey Foss ◽  
Bert Zwart

In the present paper, we study the evolution of an overloaded cyclic polling model that starts empty. Exploiting a connection with multitype branching processes, we derive fluid asymptotics for the joint queue length process. Under passage to the fluid dynamics, the server switches between the queues infinitely many times in any finite time interval causing frequent oscillatory behavior of the fluid limit in the neighborhood of zero. Moreover, the fluid limit is random. In addition, we suggest a method that establishes finiteness of moments of the busy period in an M/G/1 queue.



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