一類由人與出租車構(gòu)成的排隊(duì)系統(tǒng)時(shí)間依賴解的漸近性質(zhì).pdf

1、士研究生學(xué)位論文Y90116S新疆大學(xué)論文題目(中文)：一類由人與出租車構(gòu)成的排隊(duì)系統(tǒng)時(shí)間依賴解的漸近性質(zhì)論文題目(外文)：AsymptoticPropertyoftheTime—DependentSolutionofaQueuingSystemforCustomersandTaxiS研究生姓名：唐軍強(qiáng)學(xué)科、專業(yè)：基礎(chǔ)數(shù)學(xué)研究方向：泛函分析及排隊(duì)論導(dǎo)師姓名職稱：艾尼吾甫爾教授論文答辯日期2006年6月4日學(xué)位授予日期2006年7月15A

2、bstractThisthesisconsistsoftwochaptersThefirstchapterissplitedintotwosectionsInthefirstsection，weintroducebrieflythehistoryofqueueingtheoryandinthesecondsection，weintroducesupplementaryvariabletech—niqueandthenputforward

3、theproblemsweareconcernedinthispaperThesecondchapteiconsistsoftwosectionsIntilefirstsection，wepresentthemathematicalmodelofthequeueingsystemforcustomersandtaxisandthemainresuksobtainedbypredecessorsInthesecondsection，wes

4、tudyasymptoticpropertyofthetimedependentsolutionofthequeueingmodelFirstly，westudythespectralpropertiesoftheoperatorcorrespond—ingtothequeueingmodelandobtainthat0isaneigenvalueoftheoperatoranditsadjointoperatorwithgeometr

5、icandalgebraicmultiplicityone，allpointsontheimaginaryaxisexceptforzerobelongtotheresolventsetoftheoperatorThuswederivethatthetime_dependentsolutionofthequeueingmodelconvergesstronglytoitsstaticsolutionastimetendstoinfini