In cognitive radio networks (CRNs), secondary users (SUs) exploit the unused or sparsely used spectrum by primary users (PUs) without causing any harmful interference. Consequently, spectrum occupancy modeling appears as an essential task for CRN operations. In this paper, spectrum occupancy has been modeled using a queueing theory based approach in order to analyze the performance of CRNs in terms of network capacity, number of cognitive radio users waiting for service, and average waiting time. A compact model is presented for a CRN, where the queue adopted has variable service capacity and can be considered as a multi-service queue with server failure where each channel acts as a server. When a channel is occupied by a PU, it is regarded as a server failure for SUs. Using the probability generating function, the closed-form expressions of various performance parameters for different arrival distributions are derived. Numerical results for the remaining services for SUs, the expected number of SUs, and average waiting time as the CRN capacity, average service demands and average arrival rate vary, are illustrated.
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