Abstract
We consider an M/G/1 Markovian feedback queue with multiclass customers. We derive functional equations for the stationary distribution of the queue size and the total response time. A system of linear equations is also derived for the moments of the queue size and the total response time distributions. The mean and the variance of the queue size and the total response time can be computed by solving the system of linear equations.
| Original language | English |
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| Title of host publication | Proceedings of the 11th International Conference on Queueing Theory and Network Applications, QTNA 2016 |
| Publisher | Association for Computing Machinery |
| Volume | Part F126327 |
| ISBN (Electronic) | 9781450348423 |
| DOIs | |
| Publication status | Published - 2016 Dec 13 |
| Event | 11th International Conference on Queueing Theory and Network Applications, QTNA 2016 - Wellington, New Zealand Duration: 2016 Dec 13 → 2016 Dec 15 |
Other
| Other | 11th International Conference on Queueing Theory and Network Applications, QTNA 2016 |
|---|---|
| Country/Territory | New Zealand |
| City | Wellington |
| Period | 16/12/13 → 16/12/15 |
Keywords
- Markovian feedback queue
- Multi-class customer
- Queue size
- Total response time
ASJC Scopus subject areas
- Human-Computer Interaction
- Computer Networks and Communications
- Computer Vision and Pattern Recognition
- Software