This paper is concerned with the fluid model which is driven by a PHservice time and single-server queue with server working vacation. To analyze the fluid model, we first establish the stationary distribution of the queue length process. Based on the steady-state distribution, then the matrix-type ordinary differential equation is obtained for the joint distribution characterizing the fluid model dynamics. With the help of the Laplace transform (LT) and the Laplace-Stieltjes transform (LST), as usual, the probability for the system empty and the average fluid level are given. An application of these obtained results to the mobile Ad Hoc networks is provided. The sensitivities about the system primitive parameters to the performance measures such as the average fluid level are discussed by some numerical experiments.
WANG Huining, XU Xiuli
. Fluid models driven by a working vacation-queue with PH-service time distribution[J]. Operations Research Transactions, 2019
, 23(2)
: 57
-66
.
DOI: 10.15960/j.cnki.issn.1007-6093.2019.02.005
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