%0 Journal Article
%T A Two-Class M/M/1 System with Preemptive Non Real-Time Jobs and Prioritized Real-Time Jobs under Earliest-Deadline-First Policy
%J Scientia Iranica
%I Sharif University of Technology
%Z 1026-3098
%A Kargahi, M.
%A Movaghar, A.
%D 2008
%\ 04/01/2008
%V 15
%N 2
%P -
%! A Two-Class M/M/1 System with Preemptive Non Real-Time Jobs and Prioritized Real-Time Jobs under Earliest-Deadline-First Policy
%R
%X This paper introduces an analytical method for approximating the performance of a two-class
priority M=M=1 system. The prioritized class-1 jobs are real-time, served either with the
preemptive or non-preemptive Earliest-Deadline-First (EDF) policy and can preempt the non
real-time class-2 jobs. The preempted service of the class-2 job is resumed from the time in
instances where no class-1 job is in the system. The service discipline of class-2 jobs is FCFS.
The required mean service times may depend on the class of the jobs. The real-time jobs have
exponentially distributed relative deadlines until the end of service. The system is approximated
by a Markovian model in the long run, which can be solved numerically, using standard Markovian
solution techniques. The performance measures of the system are the loss probability of the
class-1 jobs and the mean sojourn (waiting) time of the class-2 jobs. Comparing numerical and
simulation results, it is found that the existing errors are relatively small.
%U https://scientiairanica.sharif.edu/article_2960_c29f78eaf0215b9188ac1420d425a1e5.pdf