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Network capacity region of multi-queue multi-server queueing system with time varying connectivities

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3 Author(s)
Hassan Halabian ; Department of Systems and Computer Engineering, Carleton University, 1125 Colonel By Drive, Ottawa, ON, K1S 5B6 Canada ; Ioannis Lambadaris ; Chung-Horng Lung

Network capacity region of multi-queue multi-server queueing system with random connectivities and stationary arrival processes is studied in this paper. Specifically, the necessary and sufficient conditions for the stability of the system are derived under general arrival processes with finite first and second moments. In the case of stationary arrival processes, these conditions establish the network capacity region of the system. It is also shown that AS/LCQ (Any Server/Longest Connected Queue) policy stabilizes the system when it is stabilizable. Furthermore, an upper bound for the average queue occupancy is derived for this policy.

Published in:

2010 IEEE International Symposium on Information Theory

Date of Conference:

13-18 June 2010