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This book focuses on recent research in modern optimization and its implications in control and data analysis. This book is a collection of papers from the conference “Optimization and Its Applications in Control and Data Science” dedicated to Professor Boris T. Polyak, which was held in Moscow, Russia on May 13-15, 2015. This book reflects developments in theory and applications rooted by Professor Polyak’s fundamental contributions to constrained and unconstrained optimization, differentiable and nonsmooth functions, control theory and approximation. Each paper focuses on techniques for solving complex optimization problems in different application areas and recent developments in optimization theory and methods. Open problems in optimization, game theory and control theory are included in this collection which will interest engineers and researchers working with efficient algorithms and software for solving optimization problems in market and data analysis. Theoreticians in operations research, applied mathematics, algorithm design, artificial intelligence, machine learning, and software engineering will find this book useful and graduate students will find the state-of-the-art research valuable.

Mathematics. --- Data structures (Computer science). --- Dynamics. --- Ergodic theory. --- System theory. --- Computer science --- Computer mathematics. --- Algorithms. --- Mathematical optimization. --- Optimization. --- Data Structures. --- Systems Theory, Control. --- Dynamical Systems and Ergodic Theory. --- Mathematical Applications in Computer Science. --- Science --- Technology --- Data processing. --- Electronic data processing --- Data structures (Computer scienc. --- Systems theory. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Algorism --- Algebra --- Arithmetic --- Foundations --- Computer science—Mathematics. --- Computer mathematics --- Mathematics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Systems, Theory of --- Systems science --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Philosophy --- Polyak, Boris T. --- Data structures (Computer science)

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Data Correcting Approaches in Combinatorial Optimization focuses on algorithmic applications of the well known polynomially solvable special cases of computationally intractable problems. The purpose of this text is to design practically efficient algorithms for solving wide classes of combinatorial optimization problems.  Researches, students and engineers will benefit from new bounds and branching rules in development efficient branch-and-bound type computational algorithms. This book examines applications for solving the Traveling Salesman Problem and its variations, Maximum Weight Independent Set Problem, Different Classes of Allocation and Cluster Analysis  as well as some classes of Scheduling Problems. Data Correcting Algorithms in Combinatorial Optimization  introduces the data correcting approach to algorithms which provide an answer to the following questions: how to construct a bound to the original intractable problem and find which element of the corrected instance  one should branch such that the total size of search tree will be minimized. The PC time needed for solving intractable problems will be adjusted with the requirements for solving real world problems.

Mathematical optimization. --- Combinatorial analysis --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Combinatorial analysis. --- Algorithms. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Algorism --- Combinatorics --- Mathematics. --- Data structures (Computer science). --- Graph theory. --- Graph Theory. --- Optimization. --- Data Structures. --- Algorithm Analysis and Problem Complexity. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Arithmetic --- Foundations --- Data structures (Computer scienc. --- Computer software. --- Software, Computer --- Computer systems --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Topology --- Extremal problems

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This book focuses on a development of optimal, flexible, and efficient models and algorithms for cell formation in group technology. Its main aim is to provide a reliable tool that can be used by managers and engineers to design manufacturing cells based on their own preferences and constraints imposed by a particular manufacturing system. This tool could potentially lower production costs by minimizing other costs in a number of areas, thereby increasing profit in a manufacturing system. In the volume, the cell formation problem is considered in a systematic and formalized way, and several models are proposed, both heuristic and exact. The models are based on general clustering problems, and are flexible enough to allow for various objectives and constraints. The authors also provide results of numerical experiments involving both artificial data from academic papers in the field and real manufacturing data to certify the appropriateness of the models proposed. The book was intended to suit the broadest possible audience, and thus all algorithmic details are given in a detailed description with multiple numerical examples and informal explanations are provided for the theoretical results. In addition to managers and industrial engineers, this book is intended for academic researchers and students. It will also be attractive to many theoreticians, since it addresses many open problems in computer science and bioinformatics.

Engineering mathematics -- Congresses. --- Engineering models -- Congresses. --- Manufacturing cells --- Computer integrated manufacturing systems --- Mathematics --- Physical Sciences & Mathematics --- Mathematics - General --- Manufacturing cells. --- Industrial engineering. --- Management engineering --- Simplification in industry --- Cellular manufacturing --- Mathematics. --- Computer mathematics. --- Mathematical models. --- Operations research. --- Management science. --- Computational Science and Engineering. --- Operations Research, Management Science. --- Mathematical Modeling and Industrial Mathematics. --- Engineering --- Value analysis (Cost control) --- Manufacturing processes --- Computer science. --- Informatics --- Science --- Models, Mathematical --- Simulation methods --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Computer mathematics --- Electronic data processing --- Computer integrated manufacturing systems.

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This volume contains two types of papers—a selection of contributions from the “Second International Conference in Network Analysis” held in Nizhny Novgorod on May 7–9, 2012, and papers submitted to an "open call for papers" reflecting the activities of LATNA at the Higher School for Economics. This volume contains many new results in modeling and powerful algorithmic solutions applied to problems in •         vehicle routing •         single machine scheduling •         modern financial markets •         cell formation in group technology •         brain activities of left- and right-handers •         speeding up algorithms for the maximum clique problem •         analysis and applications of different measures in clustering  The broad range of applications that can be described and analyzed by means of a network brings together researchers, practitioners, and other scientific communities from numerous fields such as Operations Research, Computer Science, Bioinformatics, Medicine, Transportation, Energy, Social Sciences, and more. The contributions not only come from different fields, but also cover a broad range of topics relevant to the theory and practice of network analysis. Researchers, students, and engineers from various disciplines will benefit from the state-of-the-art in models, algorithms, technologies, and techniques including new research directions and open questions.

Mathematical optimization -- Congresses. --- System analysis -- Data processing -- Congresses. --- System analysis -- Mathematical models -- Congresses. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Mathematical optimization --- System analysis --- Mathematical models --- Network theory --- Systems analysis --- Mathematics. --- Mathematical optimization. --- Operations research. --- Management science. --- Combinatorics. --- Optimization. --- Operations Research, Management Science. --- Network analysis --- Network science --- System theory --- Combinatorics --- Algebra --- Mathematical analysis --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- Quantitative business analysis --- Management --- Problem solving --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- Data processing