Yugoslav Journal of Operations Research 2015 Volume 25, Issue 1, Pages: 153-164
https://doi.org/10.2298/YJOR130217001B
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On the performance of the M1,M2/G1,G2/1 retrial queue with pre-emptive resume policy
Boutarfa Leila (University of May, Guelma, Algeria)
Djellab Natalia (Laboratory LaPS, University Badji Mokhtar, Annaba, Algeria)
Priority mechanism is an invaluable scheduling method that allows customers
to receive different quality of service. Service priority is clearly today a
main feature of the operation of any manufacturing system. We are interested
by an M1,M2/G1,G2/1 priority retrial queue with pre-emptive resume policy.
For model in question, we discuss the problem of ergodicity and, by using the
method of supplementary variables, find the partial generating functions of
the steady state system state distribution. Moreover, some pertinent
performance measures are obtained and numerical study is also performed.
Keywords: retrial queue, pre-emptive resume policy, steady-state distribution, performance measure, priority customer