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bJT10Game Theoretic Models for Sponsored Search Auction Prof. Bintong Chen
Abstract: Sponsored search is critical to revenue generation for search engine companies like Google, Yahoo!, and Baidu. We review various auction mechanisms used by these search engine companies, analyzes therespective equilibrium, and compare their structural properties. New auction mechanisms are proposed to overcome the disadvantages of some of the existing auction mechanisms. They are also shown to be closer to the actual practice of search engines.
bJTN{NBintong Chen is professor of Civil and Environmental Engineering and professor of Business Administration at University of Delaware. He received his Ph.D. in operations management/research from the Wharton School, M.S. in systems engineering from the University of Pennsylvania, and dual B.S. degrees in shipbuilding and naval architecture as well as electrical engineering from Shanghai Jiao Tong University in China. His research interests include optimization techniques and applied business modeling. He has published over 35 articles in high quality academic journals and his research work has been widely cited. He is currently a senior editor for Production and Operations Management.
bJT2: Differential Complementarity Systems and Dynamic Traffic EquilibriumProf. JongShi Pang
Abstract: In this lecture, we introduce the new mathematical paradigm of a differential complementarity system (DCS) and discuss its role in studying dynamic traffic equilibria. The latter dynamic equilibrium problem aims to predict future dynamic traffic states in a shortterm fashion assuming travelers follow certain rational behavioral choices of travel routes. A general formulation of this problem is presented as a delay DCS. This talk describes the solution of the special case of the traffic problem with constant delays using the DCS methodology and numerical timestepping.
bJTN{NJongShi Pang joined the University of Illinois at UrbanaChampaign as the Caterpillar Professor and Head of the Department of Industrial and Enterprise Systems Engineering in August 2007. Professor Pang was a winner of the 2003 George B. Dantzig Prize awarded jointly by the Mathematical Programming Society and the Society for Industrial and Applied Mathematics for his work on finitedimensional variational inequalities, and a cowinner of the 1994 Frederick W. Lanchester Prize awarded by the Institute for Operations Research and Management Science. Two of his publications have received best paper awards. He is an ISI Highly Cited Researcher in the Mathematics Category between 19801999; he has published 3 widely cited monographs and more than 100 scholarly journals in top peer reviewed journals. Dr. Pang is a member in the inaugural 2009 class of Fellows of the Society for Industrial and Applied Mathematics. Professor Pang has broad research interests in the foundation and applications of optimization and equilibrium to engineering and economics. Lying at the heart of such interests are the formulation and understanding of mathematical models for applied problems and the development and analysis of solution methods for solving these models. Some of his most recent research topics include: the novel subject of differential variational inequalities, nonsmooth dynamical systems, the global solution of certain nonconvex optimization problems with disjunctive constraints, frictional contact problems and their optimization, dynamic traffic equilibrium problems, gametheoretic models in communication networks, electricity markets and supply chain systems.
bJT3Twostage stochastic linear programs with incomplete information on uncertaintyProf. Jie SUN
Abstract. Twostage stochastic linear programming is a classical model in operations research. In this paper, we study this model, but only assume the availability of the first and second order moment information of the random variables. By using duality of semiinfinite programming and adopting a linear decision rule, we show that a deterministic equivalence of the twostage problem can be reformulated as a secondorder cone optimization problem. If information on the extreme points of the dual polyhedron of the recourse problem is known, then the twostage problem is also equivalent to a secondorder cone optimization problem without the linear decision rule. A numerical example is presented to demonstrate the convenience and computational advantage of this approach.
bJTN{NJie SUN is a Provost s Chair Professor of Decision Sciences, School of Business, National University of Singapore (NUS). He got MSc at Ch.6 " l n r `
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bJT4Recent Results on Polynomials in OptimizationProf. Shuzhong Zhang
Abstract: In this talk we shall present several new results regarding certain properties of polynomial functions. The purpose of the investigation is twofold. First, the properties of the polynomials in question are useful in identifying the computational complexity of polynomial optimization models, although such features are arguably interesting on their own right. This also gives rise to new modeling opportunities for polynomial optimization. Second, our investigation also helps us to design new approximation algorithms. The new results presented in the talk can be broadly classified into two categories: probability bounds arising from sampling of polynomial function in random variables, and an intrinsic relationship between a polynomial function and its tensor relaxation. The first type of results are useful in the design of approximation algorithms for polynomial optimization models in discrete decision variables, and the second type of results are useful in polynomial optimization over a spherical region, which has applications in MRI applications and the tensor eigenvalue problems. We shall also attempt to speculate the implication of the new results in a broader context. bJTN{NShuzhong Zhang is a professor at Industrial and System Engineering Program, University of Minnesota (on leave from Department of Systems Engineering & Engineering Management, The Chinese University of Hong Kong). He received a B.Sc. degree in Applied Mathematics from Fudan University in 1984, and a Ph.D degree in Operations Research and Econometrics from the Tinbergen Institute, Erasmus University, in 1991. He had held faculty positions at Department of Econometrics, University of Groningen (19911993), and Econometric Institute, Erasmus University (19931999), and Department of Systems Engineering & Engineering Management, The Chinese University of Hong Kong (since 1999). He received the Erasmus University Research Prize in 1999, the CUHK ViceChancellor Exemplary Teaching Award in 2001, the SIAM Outstanding Paper Prize in 2003, and the IEEE Signal Processing Society Best Paper Award in 2010. Dr. Zhang was an elected Council Member at Large of the MPS (Mathematical Programming Society) for 20062009, and is VicePresident of the Operations Research Society of China (ORSC). He serves on the Editorial Board of several academic journals, including Operations Research, and SIAM Journal on Optimization.
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