Integer Programming

Author: Michele Conforti
Publisher: Springer
ISBN: 331911008X
Format: PDF, ePub, Docs
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This book is an elegant and rigorous presentation of integer programming, exposing the subject’s mathematical depth and broad applicability. Special attention is given to the theory behind the algorithms used in state-of-the-art solvers. An abundance of concrete examples and exercises of both theoretical and real-world interest explore the wide range of applications and ramifications of the theory. Each chapter is accompanied by an expertly informed guide to the literature and special topics, rounding out the reader’s understanding and serving as a gateway to deeper study. Key topics include: formulations polyhedral theory cutting planes decomposition enumeration semidefinite relaxations Written by renowned experts in integer programming and combinatorial optimization, Integer Programming is destined to become an essential text in the field.

Integer Programming and Combinatorial Optimization

Author: Friedrich Eisenbrand
Publisher: Springer
ISBN: 3319592505
Format: PDF
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This book constitutes the refereed proceedings of the 19th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2017, held in Waterloo, IN, Canada, in June 2017. The 36 full papers presented were carefully reviewed and selected from 125 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization. The aim is to present recent developments in theory, computation, and applications in these areas. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Integer Programming and Combinatorial Optimization

Author: Michel Goemans
Publisher: Springer
ISBN: 3642366945
Format: PDF, ePub, Mobi
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This book constitutes the proceedings of the 16th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2013, held in Valparaíso, Chile, in March 2013. The 33 full papers presented were carefully reviewed and selected from 98 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization with the aim to present recent developments in theory, computation, and applications. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.

Integer Programming and Combinatorial Optimization

Author: George Nemhauser
Publisher: Springer
ISBN: 3540259600
Format: PDF, ePub
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This book constitutes the refereed proceedings of the 10th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2004, held in New York City, USA in June 2004. The 32 revised papers presented were carefully reviewed and selected from 109 submissions. Among the topics addressed are vehicle routing, network management, mixed-integer programming, computational complexity, game theory, supply chain management, stochastic optimization problems, production scheduling, graph computations, computational graph theory, separation algorithms, local search, linear optimization, integer programming, graph coloring, packing, combinatorial optimization, routing, flow algorithms, 0/1 polytopes, and polyhedra.

Logic and Integer Programming

Author: H. Paul Williams
Publisher: Springer Science & Business Media
ISBN: 0387922806
Format: PDF, ePub, Docs
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Paul Williams, a leading authority on modeling in integer programming, has written a concise, readable introduction to the science and art of using modeling in logic for integer programming. Written for graduate and postgraduate students, as well as academics and practitioners, the book is divided into four chapters that all avoid the typical format of definitions, theorems and proofs and instead introduce concepts and results within the text through examples. References are given at the end of each chapter to the more mathematical papers and texts on the subject, and exercises are included to reinforce and expand on the material in the chapter. Methods of solving with both logic and IP are given and their connections are described. Applications in diverse fields are discussed, and Williams shows how IP models can be expressed as satisfiability problems and solved as such.

A First Course in Combinatorial Optimization

Author: Jon Lee
Publisher: Cambridge University Press
ISBN: 9780521010122
Format: PDF, ePub, Mobi
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A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.

Applied Integer Programming

Author: Der-San Chen
Publisher: John Wiley & Sons
ISBN: 1118210026
Format: PDF
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An accessible treatment of the modeling and solution of integerprogramming problems, featuring modern applications andsoftware In order to fully comprehend the algorithms associated withinteger programming, it is important to understand not onlyhow algorithms work, but also why they work.Applied Integer Programming features a unique emphasis onthis point, focusing on problem modeling and solution usingcommercial software. Taking an application-oriented approach, thisbook addresses the art and science of mathematical modeling relatedto the mixed integer programming (MIP) framework and discusses thealgorithms and associated practices that enable those models to besolved most efficiently. The book begins with coverage of successful applications,systematic modeling procedures, typical model types, transformationof non-MIP models, combinatorial optimization problem models, andautomatic preprocessing to obtain a better formulation. Subsequentchapters present algebraic and geometric basic concepts of linearprogramming theory and network flows needed for understandinginteger programming. Finally, the book concludes with classical andmodern solution approaches as well as the key components forbuilding an integrated software system capable of solvinglarge-scale integer programming and combinatorial optimizationproblems. Throughout the book, the authors demonstrate essential conceptsthrough numerous examples and figures. Each new concept oralgorithm is accompanied by a numerical example, and, whereapplicable, graphics are used to draw together diverse problems orapproaches into a unified whole. In addition, features of solutionapproaches found in today's commercial software are identifiedthroughout the book. Thoroughly classroom-tested, Applied Integer Programmingis an excellent book for integer programming courses at theupper-undergraduate and graduate levels. It also serves as awell-organized reference for professionals, software developers,and analysts who work in the fields of applied mathematics,computer science, operations research, management science, andengineering and use integer-programming techniques to model andsolve real-world optimization problems.

Linear and integer programming

Author: Gerard Sierksma
Publisher: CRC
ISBN: 9780824796952
Format: PDF, ePub
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P "Combines the theoretical and practical aspects of linear and integer programming. Provides practical case studies and techniques, including rounding-off, column-generation, game theory, multiobjective optimization, and goal programming, as well as real-world solutions to the transportation and transshipment problem, project scheduling, and decentralization." /P