Performance analysis of cognitive wireless retrial queueing networks with admission control for secondary users

ABSTRACT

This paper designs and analyzes a novel single-channel cognitive radio retrial queueing network wherein a waiting line buffer is deployed for secondary users (SUs). A finite source system generates the primary users (PUs). Apart from these, PUs having preemptive priority over SUs, the effect of retrial/repeated attempts of PUs is taken into consideration. In such a system, the stability condition and the joint steady-state probability distribution of PUs and SUs are studied by using the matrix-analytic method. Several performance metrics of interest, such as blocking probability, throughput, mean waiting time, etc., have been determined. The first-passage time to reach a congestion level in the SUs waiting line buffer and its related characteristics are investigated by employing the first-step principle. In addition, correlation coefficients for various events of SUs and PUs during this period have been assessed. Finally, extensive numerical results are presented graphically for the system insights.

KEYWORDS:

• Cognitive radio networks
• retrial queue
• stability
• steady-state distribution
• first-passage time
• correlation coefficient

Acknowledgments

The authors are thankful to the associate editor and two anonymous reviewers for their constructive comments and fruitful suggestions which led to the improvement of the paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

B. Krishna Kumar

Dr. B. Krishna Kumar is currently working as a Professor in the Division of Mathematics, School of Advance Sciences. Vellore Institute of Technology, Chennai, India. He received his M.Sc., and M.Phil., degrees from the University of Madras in 1984 and 1985, respectively. Subsequently, he obtained his Ph.D. degree from I.I.T Madras, Chennai, India. He was in NTT Multimedia Network Lab, Tokyo, Japan, as a Post-Doctoral Fellow during 1993−1994. He has published more than 84 research papers in the reputed International Journals and Conference Proceedings. He has served as General and Technical Program Chair of numerous international conferences. He is one of the Associate Editors of the Journal of Queueing Models and Service Management and Methodology and Computing in Applied Probability. His research interests include Queueing Models in Communication Systems, Branching Processes, and their applications, First Passage Time Problems, and Mathematical Ecology. E-mail: [email protected]

R. Navaneetha Krishnan

R. Navaneetha Krishnan has received his M.Sc., and M.Phil., degrees in Mathematics from Bharathidasan University and Alagappa University respectively. Subsequently, he obtained his Ph.D., degree from Anna University Chennai, India. His research interests include Queuing Networks with Computer Applications.

R. Sankar

R. Sankar has received his M.Sc., and M.Phil., degrees in Mathematics from the University of Madras. Subsequently, he obtained his Ph.D., degree from Anna University, Chennai, India. His research interests include Applied Probability and Stochastic Processes.

R. Rukmani

Dr. R. Rukmani is a retired Professor in the Department of Mathematics, at Pachaiyappa’s College, Chennai, India. She received her M.Sc., M.Phil., and Ph. D. degrees from the University of Madras, Chennai, India in 1975, 1986, and 2009 respectively. Her research area includes Queueing Models and Communication Systems.