Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Wide-area traffic: the failure of Poisson modeling
SIGCOMM '94 Proceedings of the conference on Communications architectures, protocols and applications
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
A vacation queue with setup and close-down times and batch Markovian arrival processes
Performance Evaluation
SUPPLEMENTARY VARIABLE TECHNIQUE IN STOCHASTIC MODELS
Probability in the Engineering and Informational Sciences
Performance Analysis and Evaluation of Digital Connection Oriented Internet Service Systems
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part IV: ICCS 2007
Operations Research Letters
The virtual waiting time in a finite-buffer queue with a single vacation policy
ASMTA'12 Proceedings of the 19th international conference on Analytical and Stochastic Modeling Techniques and Applications
Analysis of a versatile batch-service queueing model with correlation in the arrival process
Performance Evaluation
Computers and Industrial Engineering
| Hi-index | 0.00 |
We consider a finite-capacity single-server vacation model with close-down/setup times and Markovian arrival processes (MAP). The queueing model has potential applications in classical IP over ATM or IP switching systems, where the close-down time corresponds to an inactive timer and the setup time to the time delay to set up a switched virtual connection (SVC) by the signaling protocol. The vacation time may be considered as the time period required to release an SVC or as the time during which the server goes to set up other SVCs. By using the supplementary variable technique, we obtain the queue length distribution at an arbitrary instant, the loss probability, the setup rate, as well as the Laplace–Stieltjes transforms of both the virtual and actual waiting time distributions.