1、V78i237鉚犬博士學(xué)位論、文一(2005屬)蠖辮爹C、。蕊’南。jji。褫羅籬洼越名組。奎性質(zhì)及其構(gòu)作pertiesandCons拄uctionsofUniformDesigns痔煜指罨瓣姓名墼型莖!壟塑互方開(kāi)秦(教授)專(zhuān)嗽二名稱(chēng)鏖曼墼堂?！?。。，|“研究方向組合熬學(xué)≮；j論斃瓣交日期壟壁鰱：壹璺基。塑笪塑過(guò)絲塹盒縫墮壁基塑堡趙煎囂!!CombinatorialPropertiesandConstructionsofUniformD

2、esignsAbstractTheconnectionbetweentheexperimentaldesignsandcombinatorialdesignshasalonghistoryThepresentthesisaimstoinvestigatecorrespondingcombinatorialprop—ertiesforuniformdesignsundersomefrequentlyuseddiscrepancies。It

3、alsoprovidesconstructionmethodsforuniformdesignsbyusingvariousknownornew—establishedcombinatorialconfigurations，Accordingtothreedifferenttypesofdiscrepanciesie。thediscretediscrepancythewraparoundL2discrepancyandthecenter

4、ed島一discrepancythemainpartofthethesisisdividedintothreechaptersChapter2generalizestheknowncombinatorialpropertiesrequiredforuniformdesignsunderthediscretediscrepancyanduseswaxiouscombinatorialconfigurationsincludingresol

5、vablepartiallypairwisebalanceddesigns，resolvablepackingsandcoveringsandtdesignstoobtaincorrespondinguniformdesignsInChapter3andChapter4，wedealwiththecombinatorialpropertiesandalsoconstructionmethodsforuniformdesignsunder

6、thewraparoundL2discrepancyandthecenteredL2一discrepancy，respectivelyAseriesoflowerboundsforthediscrepanciesazldcorrespondingconditionsforachievingtheselowerboundsareexplicitlygivenSomespecialcombinatorialconfigurationsinc

7、ludingtheperfectresolvablebalancedincompleteblockdesignaredefinedtoconstructuniformdesigns。Inthelastchapter，wealsoproposeabalancedpursuitalgorithmtosearchlowdiscrepancydesignunderanygivendiscrepancyThisalgorithmiscombine

8、dwiththecombinatorialproperpiesdiscribedinpreviouschaptersandseemstobeefficientAs&result，inmazlycaseswecanfindfairIysatisfactorydesignsbyimplementingitKeywords：uniformdesign，discrepancycombinatorialdesign，construction，al