The M/G/1 queueing model with preemptive random priorities

EAI Endorsed Transactions on Internet of Things

Moshe Haviv¹ 

[1] The Hebrew University of Jerusalem;

关键词: priority queues;    preemption;    performance evaluation;   

DOI  :  10.4108/icst.valuetools.2014.258240

来源: DOAJ

【 摘 要 】

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 invariantwith respect to the lottery performed) and show thatit 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 thismodel. 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.

【 授权许可】

Unknown