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Wireless Communications and Mobile Computing
Volume 2017 (2017), Article ID 9053862, 10 pages
Research Article

Nash Equilibrium of an Energy Saving Strategy with Dual Rate Transmission in Wireless Regional Area Network

1College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, Henan 454000, China
2College of Information Science and Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China

Correspondence should be addressed to Zhanqiang Huo

Received 26 July 2017; Revised 19 October 2017; Accepted 25 October 2017; Published 20 November 2017

Academic Editor: Donatella Darsena

Copyright © 2017 Zhanqiang Huo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Wireless regional area network (WRAN) adopts centralized network architecture and is currently one of the most typical cognitive radio networks. In order to reduce the energy consumption of the communication networks with the constraint of spectrum resource utilization, a working sleep mechanism is introduced into the base station (BS), and a novel energy saving strategy with dual rate transmission is proposed. Combining the multiple-vacation queue and priority queue, using the quasi-birth-death process and the matrix-geometric solution method, we assess the average latency and the forced termination probability of secondary user packets, as well as the energy saving ratio and the channel utilization of system. Based on the revenue-expenditure structure, a profit function is built, and then the Nash equilibrium behavior and the socially optimal behavior are investigated. With the help of the particle swarm optimization, an intelligent optimization algorithm to search the socially optimal arrival rate of secondary user packets is presented. In order to unify the arrival rates of secondary user packets with Nash equilibrium and social optimization, a reasonable pricing policy is formulated. In addition, system experiments are carried out to verify the effectiveness of the energy saving strategy and the rationality of the pricing policy.