Model-model antrian menurut proses birth and death

Abstract

Queues models as birth and death process are queues models that occur commonly in daily life, the queue serve only one customer arrival and one customer departure from service channel in t and t + At interval, whit At —> 0 . In this context will be studied queues models as birth and death process for steady state solution, where mean arrival rate (.1) larger than mean service rate (p) or traffic intensity least than one (p <1 ). This will be •ueuefin-rad wdmal-odurai. tuerep UMIUkepd 103101 uniamr reuaSuauz unsrundwt ueiRtunguad 3{inun nuens u-evp-eflp leap rut opotulapout enumas Ireppre tualsIs ureop Tepol 2u-BA unum nprem Ismodslo imp ingot 2trqued Iseppds)ta unAmuouout Arum umretm2lp leap trel-putua4 2u-eh 144) rtnum npisem !sncip:Isfp uep (uj) unO2uniod snug-No.1d tsnqu srp regundtuau tut ppowlopow •muoligi. fry To-Rani wdures niCueti sewsial Bitting runAvilp SueiC unnuntad geiwnf Auun `seoctial nquans sumedel II-crept -alp)! unp rams Isewcup unSOuniad un!gue .tieLtred new pcitues Istocgp n2Zuni ffe-tu sullsedmi gelepe enpo31 `ftwoual el2un prow 3ILTI1 MOTS'S werep sumede3i eicup.re csnyegial xni stusedmi tureiC us9 tpe ueglue ppow eSuswsedeuru-nuayi npun limos dun undneui in wermes ue!xure lawn -tufepoq rut IuH '(tom) -nos pup 2u-anDi -eAuselug nivt seilsualu! new (rf) u-euefintad ncei gep snag wet smelt (y) we2u-nepa-A nueunp `(Nws-dpriais) del-um ueepeoA Ismos dun pun timq saso.K1 itunuom unglue Tapoul-ppoul segew ml uusquj. mei-ea • o Jv up2uop )) unp j nom =rem pluanit nu-ens ureop UMTEkepd gep xentaI unNueTad -nws unp 3insgtu u-aZugiad nos unlitotocvadulaut niCuett an unglue tuals!s nunwrp `geq-ueups uednpluoN urepp uertualrp 3feiciruct vaues 5u-eiC unglue -Eapotu runs ge-repe tilvaG puP timg SOSOIci ungluv –lopovg valid for one channel or double channel queues. According to the capacity, there are three models i.e. infinite capacity, it mean the queue capacity system infinite to fixed number. Second, waiting room capacity bounded to k or number of customer in queue bounded to k. The last is finite source capacity, it mean number of customers are served bounded to fixed M These models will be looked for customer probability distribution (PO and waiting time distribution (W), then can be purposed to certain queue length expectation and waiting time expectation in the queue system. These mode