Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
The finite-buffer M/G/1 queue with general bulk-service rule and single vacation
Performance Evaluation
Analytic and numerical aspects of batch service queues with single vacation
Computers and Operations Research
Vacation Queueing Models: Theory and Applications (International Series in Operations Research & Management Science)
On the Mx/G /1 queue with vacation time
Operations Research Letters
Loss probabilities for the mx/gy/1/k+b bulk queue
Probability in the Engineering and Informational Sciences
Flexible-segmentation-jumping strategy to reduce user-perceived latency for video on demand
Applied Computational Intelligence and Soft Computing
Performance modelling of anonymity protocols
Performance Evaluation
| Hi-index | 0.09 |
This paper considers a finite-buffer batch arrival and batch service queue with single and multiple vacations. The steady-state distributions of the number of customers in the queue at service completion, vacation termination, departure, arbitrary and pre-arrival epochs have been obtained. Finally, various performance measures such as average queue length, average waiting time, probability that the server is busy, blocking probabilities, etc. are discussed along with some numerical results. The effect of certain model parameters on the key performance measures have also been investigated. The model has potential application in several areas including manufacturing, internet web-server and telecommunication systems.