Solving Semi-Infinite Variational Inequalities

semi-Infinite;variational inequalities

Ozcam, Burcu ; Dr. Xiuli Chao, Committee Member,Dr. Elmor L. Peterson, Committee Member,Dr. Shu-Cherng Fang, Committee Chair,Dr. Henry L.W. Nuttle, Committee Co-Chair,Ozcam, Burcu ; Dr. Xiuli Chao ; Committee Member ; Dr. Elmor L. Peterson ; Committee Member ; Dr. Shu-Cherng Fang ; Committee Chair ; Dr. Henry L.W. Nuttle ; Committee Co-Chair

University:North Carolina State University

关键词: semi-Infinite;    variational inequalities;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/4641/etd.pdf?sequence=1&isAllowed=y

美国|英语

来源: null

【 摘 要 】

The variational inequality problem arises in numerous contexts. In this dissertation, we consider solving a semi-infinite variational inequality problem, which is a variational inequality problem defined on a domain described by infinitely many constraints. We present characterization and the solution analysis for semi-infinite variational inequalities. After introducing the solution analysis, three solution methodologies, namely a discretizationbased smoothing method, an exchange method and an entropic analytic center cutting plane method are proposed. A comprehensive computational results with the comparison of the algorithms is provided.