The basic requirement for cognitive radio networks is that secondary users sense spectrum to detect whether primary users have arrived the system. However, imperfect sensing always occurs due to the interference of unreliable channel and signal, which can negatively affect the performance of both primary users and secondary users. To better study the practical problems of cognitive radio networks, we combine queueing theory with it. In this paper, we consider cognitive radio networks with imperfect sensing based on retrial queues with feedback and priority. Using the method of probability generating function, the performance measures are solved. A bi-objective optimization model is established to minimize both system cost and users’ sojourn time. From the perspective of secondary users, we analyze both individual equilibrium strategy and socially optimal strategy. Meanwhile, in order to eliminate the differences between two strategies, we impose admission fees on secondary users and obtain the optimal pricing strategy.

认知无线电网络的基本要求是次要用户感知频谱以检测主要用户是否已到达系统。然而，由于不可靠的信道和信号的干扰，总是会出现不完美的感知，这会对主用户和次用户的性能产生负面影响。为了更好地研究认知无线电网络的实际问题，我们将排队论与它结合起来。在本文中，我们考虑基于具有反馈和优先级的重试队列的不完善感知的认知无线电网络。使用概率生成函数的方法，求解性能度量。建立双目标优化模型以最小化系统成本和用户停留时间。从二级用户的角度，我们分析了个体均衡策略和社会最优策略。同时，为了消除两种策略之间的差异，我们对二级用户收取入场费，并获得最优定价策略。