Title :
On the stability region of multi-queue multi-server queueing systems with stationary channel distribution
Author :
Halabian, Hassan ; Lambadaris, Ioannis ; Lung, Chung-Horng
Author_Institution :
Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, ON, Canada
fDate :
July 31 2011-Aug. 5 2011
Abstract :
In this paper, we characterize the stability region of multi-queue multi-server (MQMS) queueing systems with stationary channel and packet arrival processes. Toward this, the necessary and sufficient conditions for the stability of the system are derived under general arrival processes with finite first and second moments. We show that when the arrival processes are stationary, the stability region form is a polytope for which we explicitly find the coefficients of the linear inequalities which characterize the stability region polytope.
Keywords :
linear matrix inequalities; queueing theory; stability; finite first moments; linear inequalities; multiqueue multiserver queueing systems; packet arrival process; second moments; stability region; stationary channel distribution; Face; Numerical stability; Resource management; Servers; Stability analysis; Time varying systems; Wireless networks;
Conference_Titel :
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0596-0
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2011.6033860
