一類帶拒絕的多種類服務(wù)系統(tǒng)的衰退性.pdf

1、中南大學(xué)碩士學(xué)位論文一類帶拒絕的多種類服務(wù)系統(tǒng)的衰退性姓名：于海明申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計(jì)指導(dǎo)教師：李俊平20081101ABSTRACTTheordinaryMarkovbranchingprocesses(MBPs)formoneofthemostimportantbranchesofMarkovprocesses，andhasquiteextensiveapplicationinqueuingtheoryphysi

2、csandSOonTheordinaryMarkovbranchingmodelhasbeenstudiedextensivelyThebasicpropertywhichgovernstheevolutionofaMBPisthebranchingpropertymanyscholarsgeneralizetheordinaryMarkovbranchingprocessestomoregeneralbranchingmodelsTh

3、enecessaryandsufficientconditionofrecurrentandergodicpropertiesareprovedfirstinchapter3，andunderthatconditionwegetthestationarydistributionInchapter4，wediscussthedecaypropertiesofourmodelonstateEInvestigatingsuchbehavior

4、iscrucialinanalyingthebusyperiodandsomeotherrelatedproperitiesofourmodelAtlastnotonlywepresenttheexactvalueofthedecayparameter友，butalsoweobtainthecleargemomericinterpretationofitsKeywords：generatingfunction；recurrentprop