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In this paper, we study band allocation of $\mathcal{M}_s$ buffered secondaryusers (SUs) to $\mathcal{M}_p$ orthogonal primary licensed bands, where eachprimary band is assigned to one primary user (PU). Each SU is assigned to oneof the available primary bands with a certain probability designed to satisfysome specified quality of service (QoS) requirements for the SUs. In theproposed system, only one SU is assigned to a particular band. The optimizationproblem used to obtain the stability region's envelope (closure) is shown to bea linear program. We compare the stability region of the proposed system withthat of a system where each SU chooses a band randomly with some assignmentprobability. We also compare with a fixed (deterministic) assignment system,where only one SU is assigned to one of the primary bands all the time. Weprove the advantage of the proposed system over the other systems.

Band Allocation for Cognitive Radios with Buffered Primary and Secondary Users