有可接受服務(wù)的負(fù)顧客的M-G-1休假排隊(duì)系統(tǒng).pdf

1、中山大學(xué)碩士學(xué)位論文有可接受服務(wù)的負(fù)顧客的MG1休假排隊(duì)系統(tǒng)姓名：尹玲申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：運(yùn)籌學(xué)與控制論指導(dǎo)教師：尹小玲20050425中山大學(xué)頌1：論文有可接受服務(wù)的負(fù)顧客的M／G／I休假排隊(duì)系統(tǒng)TheM／G／IQueuewithNegativeCustomersAcceptedServiceandVacationsMajor：StochasticOperationsResearchAuthor：YinUngSupervisor：

2、ProfYinXiaoling—Withtherapiddevelopmentofscicnceandtechnologytofittheneedoftheapplication，moreandmoredifferentqueuedisciplines，servicemechanismandcustomertypeshavebeenappliedtoqueuingmodelsoneafteranotherInthisarticle，we

3、analyzetheM／G／1queuewithvacationswithnegativecustomerswhoacceptserviceThesystemhasasingleserveranditisworkingoronvacationaltematelyTheserverhastheexponentialworkingtimesandthegeneralizedvacationtimesThearrivingCUStomersh

4、avetwotypes：theoneisthepositivecustomers(theordinarycustomers)andtheotheristhenegativecustomersThecustomersarriveaccordingaPoissonprocessindependentlyeachother11Ievace印tserviceaccordingtotheruleOfFCFSWhentheserviceiswork

5、ingandapositiveCUStomerarrivcs，ifthereisanegativecustomerinthesystem，thepositivecustomertakesoffthenegativecustomerwhoisinservice，ifthereisnotnegativecustomerinthesystem，thepositivecustomerwillwaitforserviceWhentheservic

6、eisworkingandanegativecustomerarrives，ifthereisapositivecustomerinthesystem，thenegativeCUStomertakesoffthepositivecustomerwhoisinservice，ifthereisnotpositivecustomerinthesysternthenegativecustomerwillwaitforserviceWhenth

7、esewerisonvacationandapositivecustomerarrives，thepositivecustomerwillleavethesys；ternbysomeprobabilityIfthepositivecustomerstaysinthesystemitwillmaketheserverbreakoffthevacationWhentheserverisonvacationandanegativecustom

8、erarrivesthenegativecustomerwillmaketheserverbreakoffthevacationTheServerhasthegeneralizedservicetimesInthisarticle，weadoptthesupplementaryvariabletechniqueandthegeneratingfunctionmethodtoderivethequeuelengthinstabilitya

9、ndalsoanalyzetwospecialsituationsandderivetheresultswhichaccordwiththeclassicalM／G／1queuesysternInthisarticle，weanalyzesomereliablecharactersofthequeuesystem(thesystemavallabilityandtlleprobabilitywithwhichthecustomerswi