The M/M/1 queue with single working vacation and set-up times

The M/M/1 queue with single working vacation and set-up times

0.00 Avg rating0 Votes
Article ID: iaor200969147
Country: United Kingdom
Volume: 6
Issue: 3
Start Page Number: 420
End Page Number: 434
Publication Date: Jul 2009
Journal: International Journal of Operational Research
Authors: , ,
Keywords: M/M/1 queues, vacation models
Abstract:

Using quasi birth and death process and matrix-geometric solution method, an M/M/1 queue with single working vacation and set-up times is discussed in this paper. The distributions for the stationary queue length and waiting time of a customer in the system are derived. Furthermore, stochastic decomposition structures of stationary indices are obtained, and the distributions of the additional queue length and additional delay are gained. Finally, several special cases and numerical examples demonstrate the results.

Reviews

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 Your email address will not be published.