Solving Semi-Infinite Variational Inequalities

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Title: Solving Semi-Infinite Variational Inequalities
Author: Ozcam, Burcu
Advisors: 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
Abstract: 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.
Date: 2006-08-02
Degree: PhD
Discipline: Industrial Engineering

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