Optimization in Science and Engineering : In Honor of the 60th Birthday of Panos M. Pardalos

__Optimization in Science and Engineering__ is dedicated in honor of the 60th birthday of Distinguished Professor Panos M. Pardalos. Pardalos’s past and ongoing work has made a significant impact on several theoretical and applied areas in modern optimization. As tribute to the diversity of Dr. Pardalos’s work in Optimization, this book comprises a collection of contributions from experts in various fields of this rich and diverse area of science. Topics highlight recent developments and include: * Deterministic global optimization * Variational inequalities and equilibrium problems * Approximation and complexity in numerical optimization * Non-smooth optimization * Statistical models and data mining * Applications of optimization in medicine, energy systems, and complex network analysis This volume will be of great interest to graduate students, researchers, and practitioners, in the fields of optimization and engineering. Optimization In Science And Engineering Is Dedicated In Honor Of The 60th Birthday Of Distinguished Professor Panos M. Pardalos. Pardalos’s Past And Ongoing Work Has Made A Significant Impact On Several Theoretical And Applied Areas In Modern Optimization. As Tribute To The Diversity Of Dr. Pardalos’s Work In Optimization, This Book Comprises A Collection Of Contributions From Experts In Various Fields Of This Rich And Diverse Area Of Science. Topics Highlight Recent Developments And Include: Deterministic Global Optimization Variational Inequalities And Equilibrium Problems Approximation And Complexity In Numerical Optimization Non-smooth Optimization Statistical Models And Data Mining Applications Of Optimization In Medicine, Energy Systems, And Complex Network Analysis This Volume Will Be Of Great Interest To Graduate Students, Researchers, And Practitioners, In The Fields Of Optimization And Engineering. Piecewise Linear Classifiers Based On Nonsmooth Optimization Approaches -- Variational Inequality Models Arising In The Study Of Viscoelastic Materials -- Neighboring Local Optimal Solutions And Its Applications -- General Traffic Equilibrium Problem With Uncertainty And Random Variational Inequalities -- Computational Complexities Of Optimization Problems Related To Model Based Clustering Of Networks -- On Distributed-lag Modeling Algorithms By R-convexity And Piecewise Monotonicity -- Poincaré-type Inequalities For Green’s Operator On Harmonic Forms -- The Robustness Concern In Preference Disaggregation Approaches For Decision Aiding: An Overview -- Separation Of Finitely Many Convex Sets And Data Pre-classification -- The Shortest Superstring Problem -- Computational Comparison Of Convex Underestimators For Use In A Branch-and-bound Global Optimization Framework -- A Quasi Exact Solution Approach For Scheduling Enhanced Coal Bed Methane Production Through Co2 Injection --^ A Stochastic Model Of Oligopolistic Market Equilibrium Problems -- Computing Area-tight Piecewise Linear Overestimators, Underestimators And Tubes For Univariate Functions -- Market Graph And Markowitz Model -- Nonconvex Generalized Benders Decomposition -- On Nonsmooth Multiobjective Optimality Conditions With Generalized Convexities -- A Game Theoretical Model For Experiment Design Optimization -- A Supply Chain Network Game Theoretic Framework For Time-based Competition With Transportation Costs And Product Differentiation -- On The Discretization Of Pseudomonotone Variational Inequalities With An Application To The Numerical Solution Of The Nonmonotone Delamination Problem -- Designing Groundwater Supply Systems Using The Mesh Adaptive Basin Hopping Algorithm -- Regularity Of A Kind Of Marginal Functions In Hilbert Spaces -- On Solving Optimization Problems With Hidden Nonconvex Structures -- Variational Principles In Gauge Spaces --^ Brain Network Characteristics In Status Epilepticus -- A Review On Consensus Clustering Methods -- Influence Diffusion In Social Networks -- A New Exact Penalty Function Approach To Semi-infinite Programming Problem -- On The Statistical Models-based Multi-objective Optimization. Edited By Themistocles M. Rassias, Christodoulos A. Floudas, Sergiy Butenko. Front Matter....Pages i-xiii Piecewise Linear Classifiers Based on Nonsmooth Optimization Approaches....Pages 1-32 Variational Inequality Models Arising in the Study of Viscoelastic Materials....Pages 33-66 Neighboring Local-Optimal Solutions and Its Applications....Pages 67-88 General Traffic Equilibrium Problem with Uncertainty and Random Variational Inequalities....Pages 89-96 Computational Complexities of Optimization Problems Related to Model-Based Clustering of Networks....Pages 97-113 On Distributed-Lag Modeling Algorithms by r -Convexity and Piecewise Monotonicity....Pages 115-140 Poincaré-Type Inequalities for Green’s Operator on Harmonic Forms....Pages 141-155 The Robustness Concern in Preference Disaggregation Approaches for Decision Aiding: An Overview....Pages 157-177 Separation of Finitely Many Convex Sets and Data Pre-classification....Pages 179-188 The Shortest Superstring Problem....Pages 189-227 Computational Comparison of Convex Underestimators for Use in a Branch-and-Bound Global Optimization Framework....Pages 229-246 A Quasi Exact Solution Approach for Scheduling Enhanced Coal Bed Methane Production Through CO 2 Injection....Pages 247-261 A Stochastic Model of Oligopolistic Market Equilibrium Problems....Pages 263-271 Computing Area-Tight Piecewise Linear Overestimators, Underestimators and Tubes for Univariate Functions....Pages 273-292 Market Graph and Markowitz Model....Pages 293-306 Nonconvex Generalized Benders Decomposition....Pages 307-331 On Nonsmooth Multiobjective Optimality Conditions with Generalized Convexities....Pages 333-357 A Game Theoretical Model for Experiment Design Optimization....Pages 359-371 A Supply Chain Network Game Theoretic Framework for Time-Based Competition with Transportation Costs and Product Differentiation....Pages 373-391 On the Discretization of Pseudomonotone Variational Inequalities with an Application to the Numerical Solution of the Nonmonotone Delamination Problem....Pages 393-405 Designing Groundwater Supply Systems Using the Mesh Adaptive Basin Hopping Algorithm....Pages 407-421 Regularity of a Kind of Marginal Functions in Hilbert Spaces....Pages 423-464 On Solving Optimization Problems with Hidden Nonconvex Structures....Pages 465-502 Variational Principles in Gauge Spaces....Pages 503-542 Brain Network Characteristics in Status Epilepticus....Pages 543-552 A Review on Consensus Clustering Methods....Pages 553-566 Influence Diffusion in Social Networks....Pages 567-581 A New Exact Penalty Function Approach to Semi-infinite Programming Problem....Pages 583-596 On the Statistical Models-Based Multi-objective Optimization....Pages 597-610