Name
Title | ||
|---|---|---|
Steady state analysis and computation of the GI[x]/Mb/1/L queue with multiple working vacations and partial batch rejection |
Abstract | ||
|---|---|---|
This paper analyzes a finite-buffer bulk-arrival bulk-service queueing system with multiple working vacations and partial batch rejection in which the inter-arrival and service times are, respectively, arbitrarily and exponentially distributed. Using the supplementary variable and the embedded Markov chain techniques, we obtain the waiting queue-length distributions at pre-arrival and arbitrary epochs. We also present Laplace-Stiltjes transform of the actual waiting-time distribution in the queue. Finally, several performance measures and a variety of numerical results in the form of tables and graphs are discussed. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cie.2008.07.013 | Computers & Industrial Engineering |
Keywords | Field | DocType |
queue-length distribution,embedded Markov chain technique,multiple working vacation,Embedded Markov chain,arbitrary epoch,60 K25,Supplementary variable technique,actual waiting-time distribution,numerical result,steady state analysis,Steady-state probability,performance measure,L queue,GI [ x ] / M b /1/ L queue,finite-buffer bulk-arrival bulk-service,partial batch rejection,present Laplace-Stiltjes | M/M/1 queue,M/D/1 queue,Bulk queue,G/G/1 queue,M/M/c queue,M/G/1 queue,M/G/k queue,M/D/c queue,Mathematics,Operations management | Journal |
Volume | Issue | ISSN |
56 | 4 | Computers & Industrial Engineering |
Citations | PageRank | References |
8 | 0.67 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miaomiao Yu | 1 | 55 | 6.13 |
| Ying Hui Tang | 2 | 8 | 0.67 |
| Yonghong Fu | 3 | 25 | 2.83 |