Abstract
This paper considers a cognitive radio network system which has two classes of users that we call Primary Users and Secondary Users. We model this system using a single server retrial queueing model. In the conventional retrial queue, if a customer cannot find an idle channel, he joins the orbit and retries to occupy a channel. The new feature of our model is that every arriving Secondary User first enters the orbit. He starts to sense the channels and tries to find an idle channel. For this model, we obtain explicit expressions for the joint generating functions of the state of the server and the number of Secondary Users in the orbit. In addition, we derive the necessary stability condition. We obtain the distribution of the number of retrials by a Secondary User using simulation. Beside, we consider the multiserver model for which we obtain the average of the number of Secondary Users in the orbit and the distribution of the number of retrials by simulation.
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Acknowledgments
The research of Tuan Phung-Duc was supported in part by JSPS KAKENHI Grant Number 18K18006.
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Akutsu, K., Phung-Duc, T. (2019). Analysis of Retrial Queues for Cognitive Wireless Networks with Sensing Time of Secondary Users. In: Phung-Duc, T., Kasahara, S., Wittevrongel, S. (eds) Queueing Theory and Network Applications. QTNA 2019. Lecture Notes in Computer Science(), vol 11688. Springer, Cham. https://doi.org/10.1007/978-3-030-27181-7_6
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DOI: https://doi.org/10.1007/978-3-030-27181-7_6
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