嚴(yán)格成對不平衡設(shè)計.pdf

1、北京交通大學(xué)碩士學(xué)位論文嚴(yán)格成對不平衡設(shè)計姓名：馬增花申請學(xué)位級別：碩士專業(yè)：概率論與數(shù)理統(tǒng)計指導(dǎo)教師：常彥勛20080501北京交通人學(xué)碩十學(xué)位論文ABSTRACTABSTRACTLetKbeasetofpositiveintegersand，beapositiveintegerApairwisedistinctdesignisapair(X，男)，whereXisasetof’，pointsand乃isasetofsubsetsof

2、X(calledblocks)，eachofcardinalityfromK，suchthatnotwopairsofXoccurinthesamenumberofblocksFurtherifforeach1≤i≤v(v一1)／2，thereexistsexactlyonepairofXoccurringiniblocks，suchpairwisedistinctdesignissaidtobestrictSarvateandBeam

3、[6]presentthatthenecessaryconditionsfortheexistenceofstrictlypairwisedistinct仃iplesystemsaleV3andV三0，1(mod3)InthispapertheexistenceofpairwisedistinctdesignareinvestigatedItisestablishedthatthenecessaryconditionsfortheexi

4、stenceofastrictlypairwisedistincttriplesystemalealsosufficientInaddition，Wepresentthatthenecessaryconditionsfortheexistenceofastrictlypairwisedistinctgroupdivisibledesignoftype窖andblocksize3缸eg三0(rood3)，org蘭1，2(mod3)andt

5、三0，1(mod3)TherearefivechaptersinthisthesisInChapter1，weintroducesomebasicdefinitionsandsomeknownresultsofpairwisedistinctdesignInChapter2，weintroducethebasicdefinitionsofauxiliarydesigns，thendescribeourrecursiveconstruct

6、ionswhichareveryusefulfortheproofofthemainconclusionsinthethesisInChapter3，wepresentsomeexamplesofstrictlypairwisedistincttriplesys—ternsofsmallorderthenpresentsomespecialnewtypeofblockdesignsAtlast，Weprovethatthenecessa

7、ryconditionsfortheexistenceofastrictlypairwisedistincttriplesystemsarealsosufficientInChapter4，Wepresentthenecessaryconditionsfortheexistenceofastrictlypairwisedistinctgroupdivisibledesignoftype窖andblocksize3，thensomeexa

8、m—piesandbasicresultsofthedesignsarepresentedinthissectionWealsohavesomeexamplesofstrictlypairwisedistinctdesignofblocksize4Finally，wepresentsomeexamplesofstrictlypairwisedistinctdesignswithsomerestrictionsInChapter5，the