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Diverse quality of service (QoS) guarantee is critical in wireless multimedia communications to fulfill the requirements of various applications. QoS with conventional single queue scenario has been very much explored but few studies were done on multiple queue system. In this paper, we propose a new multiple queue finite-state Markov chain model where multiple queues are employed at medium access control (MAC) layer and the system is modeled by combining the multiple queues with the finite-state Markov channel (FSMC) at physical (PHY) layer. We also introduce queue control parameters at MAC layer to determine the different priorities of different queues for the provision of diverse QoS, which can further be adjusted dynamically according to users' real-time requirements by configuring queue control parameters. The stationary distribution of the Markov chain is then obtained to derive the closed-form expression of the system QoS performance and finally we validate the proposed multiple queue algorithm by simulations.