基于博弈论的网络选址问题数学建模与算法

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1、分类号O225学号14020012UDC密级公开理学硕士学位论文基于博弈论的网络选址问题数学建模与算法硕士生姓名王斯琪学科专业应用数学研究方向组合数学与最优化指导教师谢政教授国防科学技术大学研究生院二〇一六年十二月MathematicalmodelingandalgorithmbasedongametheoryinnetworklocationproblemCandidate:WangSi-qiAdvisor:ProfessorXieZhengAdissertationSubmittedinpartialfulfillmentoftherequirementsforthe

2、degreeofMasterofScienceinAppliedMathematicsGraduateSchoolofNationalUniversityofDefenseTechnologyChangsha,Hunan,P.R.ChinaDecember8,2016国防科学技术大学研究生院硕士学位论文目录摘要........................................................................................................................iABSTRACT....

3、...........................................................................................................iii第一章绪论............................................................................................................11.1研究背景..........................................................

4、.........................................11.2国内外研究现状.......................................................................................21.3论文的主要内容及安排...........................................................................41.3.1主要研究内容.................................................

5、...............................41.3.2组织安排........................................................................................4第二章预备知识....................................................................................................72.1网络选址与博弈.........................................

6、..............................................72.1.1市场网络选址................................................................................72.1.2最短路问题....................................................................................82.1.3博弈的基本特征及分类........................................

7、........................82.2合作博弈...................................................................................................92.2.1特征函数与分配............................................................................92.2.2Shapley值................................