Abstract:

In this paper, introducing working vacation strategy into an M/M/c queue, the fluid model driven by a multi-server queue with single working vacation is studied. Using quasi birth-and-death process and matrix-geometric method, the steady-state distribution of the queue length is obtained.The net input rate structure is constructed, and the matrix differential equations satisfied by the joint stationary distribution of the fluid model are derived. Furthermore, by using Laplace-Stieltjes Transform (LST) method, the probability of the empty buffer content and the mean of the buffer content in the stable case are obtained. Finally, the application of the model in multi-channel wireless Mesh network is presented, and the influence of parameter on system performance index is demonstrated in numerical examples.

Key words: Fluid model, Single working vacation, Buffer content, Wireless Mesh network