Fluid model driven by an M/G/1 queue with multiple exponential vacations

Fluid model driven by an M/G/1 queue with multiple exponential vacations

0.00 Avg rating0 Votes
Article ID: iaor201111891
Volume: 218
Issue: 8
Start Page Number: 4041
End Page Number: 4048
Publication Date: Dec 2011
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: simulation
Abstract:

This paper studies a fluid model driven by an M/G/1 queue with multiple exponential vacations. By introducing various vacation strategies to the fluid model, we can provide greater flexibility for the design and control of input rate and output rate. The Laplace transform of the steady‐state distribution of the buffer content is expressed through the minimal positive solution to a crucial equation. Then the performance measure–mean buffer content, which is independent of the vacation parameter, is obtained. Finally, with some numerical examples, the parameter effect on the mean buffer content is presented.

Reviews

Required fields are marked *. Your email address will not be published.