冗余元件的分配和樣本間隔統(tǒng)計相依性的若干研究.pdf

1、蘭州大學(xué)博士學(xué)位論文冗余元件的分配和樣本間隔統(tǒng)計相依性的若干研究姓名：胡瀟瀟申請學(xué)位級別：博士專業(yè)：數(shù)學(xué)、應(yīng)用數(shù)學(xué)指導(dǎo)教師：李效虎20081101蘭州大學(xué)博士學(xué)位論文AbstractStochasticcomparisonisawellusedwaytodealwiththestochasticproblems，whichSUlTISupthecomparisonofuncertaintycasesinlivingtosomestoch

2、asticcomparisonofrandomvariables，andoffersallsortsofcriteriaforstatistics，reliabilitytheoryactuaryscienceandauctiontheory’etcmanyfieldsOnepartofthisdissertationfocusonusingstochasticcomparisontostudythewaysoftheredundanc

3、yallocationonthecomponentlevelwhichcanhavethesystembolsteredbestTheotherpartstudiesthedependenceamongsamplespacings，andtheproblemthatifitcanforecastanyconditionsofonesamplespacingfromthelengthofanotheronehasbeenthefocuso

4、fattentionofmanyauthorsinthepasttwodecadesyearsFortheproblemofthewaysofallocation，aspecialstochasticorderisfirstintroduced(itisnotappropriatetosaytheword“aspecialstochasticorder”here，whichisusedjustforconvenience，pleaser

5、efertoChapter2fordetails)，thes伊calledstochasticprecedenceorder，forwhichownssomespecialpropertiesforthelarrupingwayofthedefinition，oftencanoffermoreusefulwarrantforachoiceordecisionmakingAsanimportantwaytooptimizetherelia

6、bilityofasystem，theproblemoftheredundancyallocationhaveattractedmanyattentionsfrommanyauthorssincealongtime，andmanyinterestingworkshavegotforthesystemlevelandthecomponentlevelForexample，afamousresultintroducedinthemonogr

7、aphbyBarlow＆Proschan(1981)saysthat，foracoherentsystem，theallocationonthecomponentlevelisalwaysmoreeffectivethanthatonthesystemlevelDefinitelywhentheallocationwayequalstothewayofparallel，theformerincreasesmorereliabilityf

8、orthesystemthanthelatter，andwhentheallocationwayequalstothewayoftheseries，theformerdecreasesmorereliabilityagainstthesystemthanthelatterInthisdissertation，manystochasticordersasdifferentcriteriaareusedtocomparethewaysofr