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July  2017, 13(3): 1449-1466. doi: 10.3934/jimo.2017001

## Cognitive radio networks with multiple secondary users under two kinds of priority schemes: Performance comparison and optimization

 1 School of Computer and Communication Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China 2 Department of Intelligence and Informatics, Konan University, Kobe 658-8501, Japan

The reviewing process of the paper was handled by Yutaka Takhashi as Guest Editor.

Received  September 2015 Published  December 2016

In this paper, we consider a cognitive radio network with multiple Secondary Users (SUs). The SU packets generated from the SUs are divided into SU1 packets and SU2 packets, and the SU1 packets have higher priority than the SU2 packets. Different from the conventional preemptive priority scheme (called Scheme Ⅰ), we propose a non-preemptive priority scheme for the SU1 packets (called Scheme Ⅱ) to guarantee the transmission continuity of the SU2 packets. By constructing a three-dimensional Markov chain, we give the transition probability matrix of the Markov chain, and obtain the steady-state distribution of the system model. Accordingly, we derive some performance measures, such as the channel utilization, the blocking probability of the SU1 packets, the interruption probability of the SU1 packets and the SU2 packets, the normalized throughput of the SU1 packets, and the average latency of the SU2 packets. Moreover, we provide numerical experiments to compare different performance measures between the two priority schemes. Finally, we show and compare the Nash equilibrium strategy and the socially optimal strategy for the SU2 packets between Scheme Ⅰ and Scheme Ⅱ.

Citation: Yuan Zhao, Wuyi Yue. Cognitive radio networks with multiple secondary users under two kinds of priority schemes: Performance comparison and optimization. Journal of Industrial & Management Optimization, 2017, 13 (3) : 1449-1466. doi: 10.3934/jimo.2017001
##### References:

show all references

The reviewing process of the paper was handled by Yutaka Takhashi as Guest Editor.

##### References:
Flow diagram for the proposed non-preemptive priority scheme.
Time diagram of the system model.
State transition diagram for the number of SU2 packets in the system model.
Change trend of the channel utilization $\xi$.
Change trend of the interruption probability $\gamma_{21}$ of the SU1 packets.
Change trend of the interruption probability $\gamma_{22}$ of the SU2 packets.
Change trend of the normalized throughput $\theta_{21}$ of the SU1 packets.
Change trend of the average latency $\delta_{22}$ of the SU2 packets.
Individual net benefit $W_I(\lambda_{22})$ vs. arrival rate $\lambda_{22}$ of the SU2 packets.
Social net benefit $W_S(\lambda_{22})$ vs. arrival rate $\lambda_{22}$ of the SU2 packets.
Numerical results with Nash equilibrium strategy
 $\lambda_1$ $\lambda_{21}$ $\lambda_e$ $q_e$ Min Max Min Max 0.15 0.20 0.16 0.17 0.80 0.85 Scheme Ⅰ 0.20 0.20 0.13 0.14 0.65 0.70 0.20 0.25 0.11 0.12 0.55 0.60 0.15 0.20 0.20 0.20 1.00 1.00 Scheme Ⅱ 0.20 0.20 0.17 0.18 0.85 0.90 0.20 0.25 0.15 0.16 0.75 0.80
 $\lambda_1$ $\lambda_{21}$ $\lambda_e$ $q_e$ Min Max Min Max 0.15 0.20 0.16 0.17 0.80 0.85 Scheme Ⅰ 0.20 0.20 0.13 0.14 0.65 0.70 0.20 0.25 0.11 0.12 0.55 0.60 0.15 0.20 0.20 0.20 1.00 1.00 Scheme Ⅱ 0.20 0.20 0.17 0.18 0.85 0.90 0.20 0.25 0.15 0.16 0.75 0.80
Numerical results with socially optimal strategy
 $\lambda_1$ $\lambda_{21}$ $\lambda^*$ $q^*$ 0.15 0.20 0.10 0.50 Scheme Ⅰ 0.20 0.20 0.08 0.40 0.20 0.25 0.07 0.35 0.15 0.20 0.13 0.65 Scheme Ⅱ 0.20 0.20 0.11 0.55 0.20 0.25 0.10 0.50
 $\lambda_1$ $\lambda_{21}$ $\lambda^*$ $q^*$ 0.15 0.20 0.10 0.50 Scheme Ⅰ 0.20 0.20 0.08 0.40 0.20 0.25 0.07 0.35 0.15 0.20 0.13 0.65 Scheme Ⅱ 0.20 0.20 0.11 0.55 0.20 0.25 0.10 0.50
 $\lambda_1$ $\lambda_{21}$ $\lambda^*$ $f$ 0.15 0.20 0.10 6.9918 Scheme Ⅰ 0.20 0.20 0.08 6.5472 0.20 0.25 0.07 5.4116 0.15 0.20 0.13 8.1169 Scheme Ⅱ 0.20 0.20 0.11 7.1114 0.20 0.25 0.10 6.4127
 $\lambda_1$ $\lambda_{21}$ $\lambda^*$ $f$ 0.15 0.20 0.10 6.9918 Scheme Ⅰ 0.20 0.20 0.08 6.5472 0.20 0.25 0.07 5.4116 0.15 0.20 0.13 8.1169 Scheme Ⅱ 0.20 0.20 0.11 7.1114 0.20 0.25 0.10 6.4127
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