國 立 陽 明 交 通 大 學 演 講

講    題：The Variational Inequality Problem: An Introduction to Model, Applications, and Algorithms

主 講 人：黃道宏 助理教授

(國立台灣大學工業工程學研究所)

主 持 人：陳文智 教授

主辦單位：陽明交通大學工業工程與管理系

時間：113年4 月 29 日(星期一) 13 : 20 ~ 15 : 20  

地    點：管理二館520室

演講摘要：Traced back to early 1960s, the research on finite-dimensional variational inequality (VI) problems began to evolve into a specific branch of mathematical programming and has since become a theoretical cornerstone in solving a diverse array of equilibrium-related problems, such as economic equilibrium, traffic equilibrium, and the general Nash equilibrium. The general mathematical formulation of VI problem encompasses various models such as optimization, saddle point problem, equation system, complementarity problem, and it is particularly suitable for solving the problems that necessitate the fusion of multiple these models. The talk will focus on introducing the basic model formulation and providing examples for the applied problems, followed by presenting two fundamental iterative solution methods. After this talk, we will be able to get a taste of a more general mathematical programming model than optimization , as well as the types of problems where this model can potentially be useful for solving solutions.

演講性質：學術研究專題

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