Title :
Network capacity region of multi-queue multi-server queueing system with time varying connectivities
Author :
Halabian, Hassan ; Lambadaris, Ioannis ; Lung, Chung-Horng
Author_Institution :
Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, ON, Canada
Abstract :
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.
Keywords :
queueing theory; any server policy; longest connected queue policy; multiqueue multiserver queueing system; network capacity region; random connectivity; stationary arrival process; time varying connectivities; Delay; Multiaccess communication; Network servers; Resource management; Stability; Statistics; Stochastic processes; Throughput; Time varying systems; Wireless networks;
Conference_Titel :
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Conference_Location :
Austin, TX
Print_ISBN :
978-1-4244-7890-3
Electronic_ISBN :
978-1-4244-7891-0
DOI :
10.1109/ISIT.2010.5513303