Title of article
A repairablequeueingmodelwithtwo-phaseservice,start-uptimesandretrial customers
Author/Authors
Ioannis Dimitriou، نويسنده , , ChristosLangaris، نويسنده ,
Issue Information
ماهنامه با شماره پیاپی سال 2010
Pages
10
From page
1181
To page
1190
Abstract
A repairablequeueingmodelwithatwo-phaseserviceinsuccession,providedbyasingleserver,isinves-
tigated. Customersarriveinasingleordinaryqueueandafterthecompletionofthefirstphaseservice,
either proceedtothesecondphaseorjoinaretrialboxfromwheretheyretry,afterarandomamountof
time andindependentlyoftheothercustomersinorbit,tofindapositionforserviceinthesecondphase.
Moreover, theserverissubjecttobreakdownsandrepairsinbothphases,whileastart-uptimeisneeded
in ordertostartservingaretrialcustomer.Whentheserver,uponaserviceorarepaircompletionfinds
no customerswaitingtobeserved,hedepartsforasinglevacationofanarbitrarilydistributedlength.
The arrivalprocessisassumedtobePoissonandallserviceandrepairtimesarearbitrarilydistributed.
For suchasystemthestabilityconditionsandsteadystateanalysisareinvestigated.Numericalresults
are finallyobtainedandusedtoinvestigatesystemperformance.
Keywords
Vacation , Two-phase service , Retrial queue , Poisson arrivals , Repairs , breakdowns , Start-up time
Journal title
Computers and Operations Research
Serial Year
2010
Journal title
Computers and Operations Research
Record number
927728
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