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Connections in Combinatorial Optimization

Connections in Combinatorial Optimization
Author: András Frank
Publisher: OUP Oxford
Total Pages: 664
Release: 2011-02-24
Genre: Mathematics
ISBN: 0199205272

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Filling the gap between introductory and encyclopedic treatments, this book provides rich and appealing material for a second course in combinatorial optimization. This book is suitable for graduate students as well as a reference for established researchers.


Graphs and Combinatorial Optimization: from Theory to Applications

Graphs and Combinatorial Optimization: from Theory to Applications
Author: Claudio Gentile
Publisher: Springer Nature
Total Pages: 408
Release: 2021-03-01
Genre: Mathematics
ISBN: 3030630722

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This book highlights new and original contributions on Graph Theory and Combinatorial Optimization both from the theoretical point of view and from applications in all fields. The book chapters describe models and methods based on graphs, structural properties, discrete optimization, network optimization, mixed-integer programming, heuristics, meta-heuristics, math-heuristics, and exact methods as well as applications. The book collects selected contributions from the CTW2020 international conference (18th Cologne-Twente Workshop on Graphs and Combinatorial Optimization), held online on September 14-16, 2020. The conference was organized by IASI-CNR with the contribution of University of Roma Tre, University Roma Tor Vergata, and CNRS-LIX and with the support of AIRO. It is addressed to researchers, PhD students, and practitioners in the fields of Graph Theory, Discrete Mathematics, Combinatorial Optimization, and Operations Research.


Combinatorial, Linear, Integer and Nonlinear Optimization Apps

Combinatorial, Linear, Integer and Nonlinear Optimization Apps
Author: J. MacGregor Smith
Publisher: Springer Nature
Total Pages: 275
Release: 2021-10-17
Genre: Mathematics
ISBN: 303075801X

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This textbook provides an introduction to the use and understanding of optimization and modeling for upper-level undergraduate students in engineering and mathematics. The formulation of optimization problems is founded through concepts and techniques from operations research: Combinatorial Optimization, Linear Programming, and Integer and Nonlinear Programming (COLIN). Computer Science (CS) is also relevant and important given the applications of algorithms and Apps/algorithms (A) in solving optimization problems. Each chapter provides an overview of the main concepts of optimization according to COLINA, providing examples through App Inventor and AMPL software applications. All apps developed through the text are available for download. Additionally, the text includes links to the University of Wisconsin NEOS server, designed to handle more computing-intensive problems in complex optimization. Readers are encouraged to have some background in calculus, linear algebra, and related mathematics.


Combinatorial Optimization

Combinatorial Optimization
Author: Bernhard Korte
Publisher: Springer Science & Business Media
Total Pages: 596
Release: 2006-01-27
Genre: Mathematics
ISBN: 3540292977

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This well-written textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. The book contains complete (but concise) proofs, as well as many deep results, some of which have not appeared in any previous books.


Applications of Combinatorial Optimization

Applications of Combinatorial Optimization
Author: Vangelis Th. Paschos
Publisher: John Wiley & Sons
Total Pages: 450
Release: 2014-09-15
Genre: Mathematics
ISBN: 1848216580

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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: - On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; - Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; - Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.


Combinatorial Optimization in Communication Networks

Combinatorial Optimization in Communication Networks
Author: Maggie Xiaoyan Cheng
Publisher: Springer Science & Business Media
Total Pages: 655
Release: 2006-07-02
Genre: Computers
ISBN: 0387290265

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This book gives a comprehensive presentation of cutting-edge research in communication networks with a combinatorial optimization component. The objective of the book is to advance and promote the theory and applications of combinatorial optimization in communication networks. Each chapter is written by an expert dealing with theoretical, computational, or applied aspects of combinatorial optimization.


Industrial Applications of Combinatorial Optimization

Industrial Applications of Combinatorial Optimization
Author: Gang Yu
Publisher: Springer Science & Business Media
Total Pages: 366
Release: 2013-03-14
Genre: Business & Economics
ISBN: 147572876X

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Industries rely more and more on advanced technology. Accelerated computer evolution makes large-scale computation practical. Many enterprises are be ginning to benefit from more efficient allocation of resources and more effective planning, scheduling, manufacturing, and distribution by adopting state-of-the art decision support systems. Academics increasingly emphasize application driven research. All these forces have moved optimization from a pure class room and textbook terminology to an accepted tool in today's business world. This book chronicles and describes applications of combinatorial optimization in industry. A wide range of applications is included: manpower planning • production planning • job sequencing and scheduling • manufacturing layout design • facility planning • vehicle scheduling and routing • retail seasonal planning • I! space shuttle scheduling, and telecommunication network design . • The applications covered in this book comprise a representative set of industry sectors including electronics, airlines, manufacturing, tobacco, retail, telecom munication, defense, and livestock. These examples should encourage opera tions researchers and applied mathematicians by pointing out how the impor tance and practicality of optimization is starting to be realized by the manage ment of various organizations and how some pioneering developments in this field are beginning to bear fruit.


Computational Combinatorial Optimization

Computational Combinatorial Optimization
Author: Michael Jünger
Publisher: Springer Science & Business Media
Total Pages: 317
Release: 2001-11-21
Genre: Mathematics
ISBN: 3540428771

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This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality.


Combinatorial Optimization and Applications

Combinatorial Optimization and Applications
Author: Weili Wu
Publisher: Springer Nature
Total Pages: 535
Release: 2024-01-09
Genre: Computers
ISBN: 3031496116

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The two-volume set LNCS 14461 and LNCS 14462 constitutes the refereed proceedings of the 17th International Conference on Combinatorial Optimization and Applications, COCOA 2023, held in Hawaii, HI, USA, during December 15–17, 2023. The 73 full papers included in the proceedings were carefully reviewed and selected from 117 submissions. They were organized in topical sections as follows: Part I: Optimization in graphs; scheduling; set-related optimization; applied optimization and algorithm; Graph planer and others; Part II: Modeling and algorithms; complexity and approximation; combinatorics and computing; optimization and algorithms; extreme graph and others; machine learning, blockchain and others.