Title of article
A tandemretrialqueueingsystemwithtwoMarkovianflowsandreservationof channels
Author/Authors
Che SoongKim ، نويسنده , , ValentinaKlimenokb، نويسنده , , OlgaTaraminb، نويسنده ,
Issue Information
ماهنامه با شماره پیاپی سال 2010
Pages
9
From page
1238
To page
1246
Abstract
he inputflowatStation1isdescribedbythe BMAP (batch Markovianarrivalprocess).Customersfrom
this flowareconsideredasnon-prioritycustomers.Customersofanarrivinggroup,whichmeetabusy
server, gototheorbitofinfinitesize.Fromtheorbit,theytrytheirluckinexponentiallydistributed
random time.ServicetimesatStation1areindependentidenticallydistributedrandomvariableshaving
an arbitrarydistribution.AfterserviceatStation1anon-prioritycustomerproceedstoStation2.
The servicetimebyaserverofStation2isexponentiallydistributed.Besidescustomersproceedingfrom
Station 1,anadditional MAP flow ofprioritycustomersarrivesatStation2directly,notenteringStation1.
If aprioritycustomermeetsafreeserveruponarrival,itstartsserviceimmediately.Else,itleavesthesys-
tem forever.ItisassumedthatafewserversofStation2arereservedtoservetheprioritycustomersonly.
We calculatethestationarydistributionandthemainperformancemeasuresofthesystem.Theproblem
of optimaldesignisnumericallyinvestigated.
Keywords
Tandem retrial queue , Batch Markovian arrival process , Asymptotically quasi-Toeplitz Markov chain , Reservation of channels
Journal title
Computers and Operations Research
Serial Year
2010
Journal title
Computers and Operations Research
Record number
927734
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