Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639879 | Journal of Computational and Applied Mathematics | 2011 | 15 Pages |
Abstract
In this paper, we consider a finite buffer size discrete-time multiple working vacation queue with changeover time. Employing the supplementary variable and embedded Markov chain techniques, we derive the steady state system length distributions at different time epochs. Based on the various system length distributions, the blocking probability, probability mass function of sojourn time and other performance measures along with some numerical examples have been discussed. Then, we use the parabolic method to search the optimum value of the service rate in working vacation period under a given cost structure.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Miaomiao Yu, Yinghui Tang, Yonghong Fu, Lemeng Pan,