Research Article
The M/G/1 queueing model with preemptive random priorities
@INPROCEEDINGS{10.4108/icst.valuetools.2014.258240, author={Moshe Haviv}, title={The M/G/1 queueing model with preemptive random priorities}, proceedings={8th International Conference on Performance Evaluation Methodologies and Tools}, publisher={EAI}, proceedings_a={VALUETOOLS}, year={2015}, month={2}, keywords={priority queues preemption performance evaluation}, doi={10.4108/icst.valuetools.2014.258240} }- Moshe Haviv
Year: 2015
The M/G/1 queueing model with preemptive random priorities
VALUETOOLS
ICST
DOI: 10.4108/icst.valuetools.2014.258240
Abstract
For the M/G/1 model, we look into a preemptive priority scheme in which the priority level is decided by a lottery. Such a scheme has no effect on the mean waiting time in the non-preemptive case (in comparison with the First Come First Served (FCFS) regime, for example). This is not the case when priority comes with preemption. We derived the resulting mean waiting time (which is invariant with respect to the lottery performed) and show that it lies between the corresponding means under the FCFS and the Last Come First Served with Preemption Resume (LCFS-PR) (or equivalently, the Egalitarian Processor Sharing (EPS)) schemes. We also derive an expression for the Laplace-Stieltjes transform for the time in the system in this model. Finally, we show how this priority scheme may lead to an improvement in the utilization of the server when customer decide whether or not to join.
