Relaxation Methods For Pure And Mixed Integer Programming Problems Classic Reprint

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Relaxation Methods for Pure and Mixed Integer Programming Problems (Classic Reprint)

Author : G. A. Gorry
Publisher :
ISBN 13 : 9781332278619
Total Pages : 52 pages
Book Rating : 4.2/5 (786 download)

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Book Synopsis Relaxation Methods for Pure and Mixed Integer Programming Problems (Classic Reprint) by : G. A. Gorry

Download or read book Relaxation Methods for Pure and Mixed Integer Programming Problems (Classic Reprint) written by G. A. Gorry and published by . This book was released on 2015-08-05 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Relaxation Methods for Pure and Mixed Integer Programming Problems The usefulness of group theoretic methods in solving integer programming (IP) problems is extended by procedures for controlling the size of the groups. The main procedure given shows how an optimal linear programming basis can be altered to reduce the magnitude of its determinant thereby reducing the size of the group induced by the basis. An adoption of Bender's mixed IP algorithm is given which uses these methods. Some limited computational experience is given. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Relaxation Methods for Pure and Mixed Integer Programming Problems

Author : George Anthony Gorry
Publisher : Franklin Classics Trade Press
ISBN 13 : 9780353347441
Total Pages : 54 pages
Book Rating : 4.3/5 (474 download)

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Book Synopsis Relaxation Methods for Pure and Mixed Integer Programming Problems by : George Anthony Gorry

Download or read book Relaxation Methods for Pure and Mixed Integer Programming Problems written by George Anthony Gorry and published by Franklin Classics Trade Press. This book was released on 2018-11-11 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Relaxation Methods for Pure and Mixed Integer Programming Problems...

Author : Gorry George Anthony 1940-
Publisher : Hardpress Publishing
ISBN 13 : 9781314755879
Total Pages : 62 pages
Book Rating : 4.7/5 (558 download)

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Book Synopsis Relaxation Methods for Pure and Mixed Integer Programming Problems... by : Gorry George Anthony 1940-

Download or read book Relaxation Methods for Pure and Mixed Integer Programming Problems... written by Gorry George Anthony 1940- and published by Hardpress Publishing. This book was released on 2013-12 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Relaxation Methods for Pure and Mixed Integer Programming Problems - Scholar's Choice Edition

Author : George Anthony Gorry
Publisher :
ISBN 13 : 9781298031914
Total Pages : 56 pages
Book Rating : 4.0/5 (319 download)

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Book Synopsis Relaxation Methods for Pure and Mixed Integer Programming Problems - Scholar's Choice Edition by : George Anthony Gorry

Download or read book Relaxation Methods for Pure and Mixed Integer Programming Problems - Scholar's Choice Edition written by George Anthony Gorry and published by . This book was released on 2015-02-15 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Relaxation Methods for Pure and Mixed Integer Programming Problems - Primary Source Edition

Author : George Anthony Gorry
Publisher : Nabu Press
ISBN 13 : 9781295776009
Total Pages : 56 pages
Book Rating : 4.7/5 (76 download)

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Book Synopsis Relaxation Methods for Pure and Mixed Integer Programming Problems - Primary Source Edition by : George Anthony Gorry

Download or read book Relaxation Methods for Pure and Mixed Integer Programming Problems - Primary Source Edition written by George Anthony Gorry and published by Nabu Press. This book was released on 2014-02 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming

Author : Ivo Nowak
Publisher : Springer Science & Business Media
ISBN 13 : 3764373741
Total Pages : 213 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming by : Ivo Nowak

Download or read book Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming written by Ivo Nowak and published by Springer Science & Business Media. This book was released on 2006-03-28 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearoptimizationproblemscontainingbothcontinuousanddiscretevariables are called mixed integer nonlinear programs (MINLP). Such problems arise in many ?elds, such as process industry, engineering design, communications, and ?nance. There is currently a huge gap between MINLP and mixed integer linear programming(MIP) solvertechnology.With a modernstate-of-the-artMIP solver itispossibletosolvemodelswithmillionsofvariablesandconstraints,whereasthe dimensionofsolvableMINLPsisoftenlimitedbyanumberthatissmallerbythree or four orders of magnitude. It is theoretically possible to approximate a general MINLP by a MIP with arbitrary precision. However, good MIP approximations are usually much larger than the original problem. Moreover, the approximation of nonlinear functions by piecewise linear functions can be di?cult and ti- consuming. In this book relaxation and decomposition methods for solving nonconvex structured MINLPs are proposed. In particular, a generic branch-cut-and-price (BCP) framework for MINLP is presented. BCP is the underlying concept in almost all modern MIP solvers. Providing a powerful decomposition framework for both sequential and parallel solvers, it made the success of the current MIP technology possible. So far generic BCP frameworks have been developed only for MIP, for example,COIN/BCP (IBM, 2003) andABACUS (OREAS GmbH, 1999). In order to generalize MIP-BCP to MINLP-BCP, the following points have to be taken into account: • A given (sparse) MINLP is reformulated as a block-separable program with linear coupling constraints.The block structure makes it possible to generate Lagrangian cuts and to apply Lagrangian heuristics. • In order to facilitate the generation of polyhedral relaxations, nonlinear c- vex relaxations are constructed. • The MINLP separation and pricing subproblems for generating cuts and columns are solved with specialized MINLP solvers.

A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems

Author : Hanif D. Sherali
Publisher : Springer Science & Business Media
ISBN 13 : 9780792354871
Total Pages : 544 pages
Book Rating : 4.3/5 (548 download)

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Book Synopsis A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems by : Hanif D. Sherali

Download or read book A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems written by Hanif D. Sherali and published by Springer Science & Business Media. This book was released on 1998-12-31 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out a new method for generating tight linear or convex programming relaxations for discrete and continuous nonconvex programming problems, featuring a model that affords a useful representation and structure, further strengthened with an automatic reformulation and constraint generation technique. Offers a unified treatment of discrete and continuous nonconvex programming problems, bridging these two types of nonconvexities with a polynomial representation of discrete constraints, and discusses special applications to discrete and continuous nonconvex programs. Material comprises original work of the authors compiled from several journal publications. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Relaxation and Exact Algorithms for Solving Mixed Integer-quadratic Optimization Problems

Author : Constantine Nikolaos Tziligakis
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.:/5 (448 download)

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Book Synopsis Relaxation and Exact Algorithms for Solving Mixed Integer-quadratic Optimization Problems by : Constantine Nikolaos Tziligakis

Download or read book Relaxation and Exact Algorithms for Solving Mixed Integer-quadratic Optimization Problems written by Constantine Nikolaos Tziligakis and published by . This book was released on 1999 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming

Author : Ivo Nowak
Publisher : Birkhäuser
ISBN 13 : 9783764373740
Total Pages : 213 pages
Book Rating : 4.3/5 (737 download)

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Book Synopsis Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming by : Ivo Nowak

Download or read book Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming written by Ivo Nowak and published by Birkhäuser. This book was released on 2006-03-28 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearoptimizationproblemscontainingbothcontinuousanddiscretevariables are called mixed integer nonlinear programs (MINLP). Such problems arise in many ?elds, such as process industry, engineering design, communications, and ?nance. There is currently a huge gap between MINLP and mixed integer linear programming(MIP) solvertechnology.With a modernstate-of-the-artMIP solver itispossibletosolvemodelswithmillionsofvariablesandconstraints,whereasthe dimensionofsolvableMINLPsisoftenlimitedbyanumberthatissmallerbythree or four orders of magnitude. It is theoretically possible to approximate a general MINLP by a MIP with arbitrary precision. However, good MIP approximations are usually much larger than the original problem. Moreover, the approximation of nonlinear functions by piecewise linear functions can be di?cult and ti- consuming. In this book relaxation and decomposition methods for solving nonconvex structured MINLPs are proposed. In particular, a generic branch-cut-and-price (BCP) framework for MINLP is presented. BCP is the underlying concept in almost all modern MIP solvers. Providing a powerful decomposition framework for both sequential and parallel solvers, it made the success of the current MIP technology possible. So far generic BCP frameworks have been developed only for MIP, for example,COIN/BCP (IBM, 2003) andABACUS (OREAS GmbH, 1999). In order to generalize MIP-BCP to MINLP-BCP, the following points have to be taken into account: • A given (sparse) MINLP is reformulated as a block-separable program with linear coupling constraints.The block structure makes it possible to generate Lagrangian cuts and to apply Lagrangian heuristics. • In order to facilitate the generation of polyhedral relaxations, nonlinear c- vex relaxations are constructed. • The MINLP separation and pricing subproblems for generating cuts and columns are solved with specialized MINLP solvers.

Rounded Branch and Bound Method for Mixed Integer Nonlinear Programming Problems

Author : Jacob Akoka
Publisher : Forgotten Books
ISBN 13 : 9780656402700
Total Pages : 102 pages
Book Rating : 4.4/5 (27 download)

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Book Synopsis Rounded Branch and Bound Method for Mixed Integer Nonlinear Programming Problems by : Jacob Akoka

Download or read book Rounded Branch and Bound Method for Mixed Integer Nonlinear Programming Problems written by Jacob Akoka and published by Forgotten Books. This book was released on 2018-02-12 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Rounded Branch and Bound Method for Mixed Integer Nonlinear Programming Problems: January 1977 In this paper, a method is described to solve integer nonlinear programming problems In this bounded Branch and Bound method, the arborescence has only N nodes, where N is the number of variables of the problem. Therefore, we store in the main memory of the computer only the informations relative to the N nodes. We can. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Applied Integer Programming

Author : Der-San Chen
Publisher : John Wiley & Sons
ISBN 13 : 1118210026
Total Pages : 489 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Applied Integer Programming by : Der-San Chen

Download or read book Applied Integer Programming written by Der-San Chen and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible treatment of the modeling and solution of integer programming problems, featuring modern applications and software In order to fully comprehend the algorithms associated with integer programming, it is important to understand not only how algorithms work, but also why they work. Applied Integer Programming features a unique emphasis on this point, focusing on problem modeling and solution using commercial software. Taking an application-oriented approach, this book addresses the art and science of mathematical modeling related to the mixed integer programming (MIP) framework and discusses the algorithms and associated practices that enable those models to be solved most efficiently. The book begins with coverage of successful applications, systematic modeling procedures, typical model types, transformation of non-MIP models, combinatorial optimization problem models, and automatic preprocessing to obtain a better formulation. Subsequent chapters present algebraic and geometric basic concepts of linear programming theory and network flows needed for understanding integer programming. Finally, the book concludes with classical and modern solution approaches as well as the key components for building an integrated software system capable of solving large-scale integer programming and combinatorial optimization problems. Throughout the book, the authors demonstrate essential concepts through numerous examples and figures. Each new concept or algorithm is accompanied by a numerical example, and, where applicable, graphics are used to draw together diverse problems or approaches into a unified whole. In addition, features of solution approaches found in today's commercial software are identified throughout the book. Thoroughly classroom-tested, Applied Integer Programming is an excellent book for integer programming courses at the upper-undergraduate and graduate levels. It also serves as a well-organized reference for professionals, software developers, and analysts who work in the fields of applied mathematics, computer science, operations research, management science, and engineering and use integer-programming techniques to model and solve real-world optimization problems.

Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems

Author : J. Christopher Beck
Publisher : Springer Science & Business Media
ISBN 13 : 3540343067
Total Pages : 310 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems by : J. Christopher Beck

Download or read book Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems written by J. Christopher Beck and published by Springer Science & Business Media. This book was released on 2006-05-16 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2006, held in Cork, Ireland in May/June 2006. The 20 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 67 submissions. The papers address methodological and foundational issues from AI, OR, and algorithmics and present applications to the solution of combinatorial optimization problems in various fields via constraint programming.

Introduction to Distribution Logistics

Author : Paolo Brandimarte
Publisher : John Wiley & Sons
ISBN 13 : 0470170042
Total Pages : 608 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Introduction to Distribution Logistics by : Paolo Brandimarte

Download or read book Introduction to Distribution Logistics written by Paolo Brandimarte and published by John Wiley & Sons. This book was released on 2007-07-27 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: unique introduction to distribution logistics that focuses on both quantitative modeling and practical business issues Introduction to Distribution Logistics presents a complete and balanced treatment of distribution logistics by covering both applications and the required theoretical background, therefore extending its reach to practitioners and students in a range of disciplines such as management, engineering, mathematics, and statistics. The authors emphasize the variety and complexity of issues and sub-problems surrounding distribution logistics as well as the limitations and scope of applicability of the proposed quantitative tools. Throughout the book, readers are provided with the quantitative approaches needed to handle real-life management problems, and areas of study include: Supply chain management Network design and transportation Demand forecasting Inventory control in single- and multi-echelon systems Incentives in the supply chain Vehicle routing Complete with extensive appendices on probability and statistics as well as mathematical programming, Introduction to Distribution Logistics is a valuable text for distribution logistics courses at both the advanced undergraduate and beginning graduate levels in a variety of disciplines, and prior knowledge of production planning is not assumed. The book also serves as a useful reference for practitioners in the fields of applied mathematics and statistics, manufacturing engineering, business management, and operations research. The book's related Web site includes additional sections and numerical illustrations.

Production Planning by Mixed Integer Programming

Author : Yves Pochet
Publisher : Springer Science & Business Media
ISBN 13 : 0387299599
Total Pages : 506 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Production Planning by Mixed Integer Programming by : Yves Pochet

Download or read book Production Planning by Mixed Integer Programming written by Yves Pochet and published by Springer Science & Business Media. This book was released on 2006-04-19 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive modeling, reformulation and optimization approach for solving production planning and supply chain planning problems, covering topics from a basic introduction to planning systems, mixed integer programming (MIP) models and algorithms through the advanced description of mathematical results in polyhedral combinatorics required to solve these problems. Based on twenty years worth of research in which the authors have played a significant role, the book addresses real life industrial production planning problems (involving complex production structures with multiple production stages) using MIP modeling and reformulation approach. The book provides an introduction to MIP modeling and to planning systems, a unique collection of reformulation results, and an easy to use problem-solving library. This approach is demonstrated through a series of real life case studies, exercises and detailed illustrations. Review by Jakub Marecek (Computer Journal) The emphasis put on mixed integer rounding and mixing sets, heuristics in-built in general purpose integer programming solvers, as well as on decompositions and heuristics using integer programming should be praised... There is no doubt that this volume offers the present best introduction to integer programming formulations of lotsizing problems, encountered in production planning. (2007)

Logic-Based Methods for Optimization

Author : John Hooker
Publisher : John Wiley & Sons
ISBN 13 : 1118031288
Total Pages : 520 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Logic-Based Methods for Optimization by : John Hooker

Download or read book Logic-Based Methods for Optimization written by John Hooker and published by John Wiley & Sons. This book was released on 2011-09-28 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneering look at the fundamental role of logic in optimizationand constraint satisfaction While recent efforts to combine optimization and constraintsatisfaction have received considerable attention, little has beensaid about using logic in optimization as the key to unifying thetwo fields. Logic-Based Methods for Optimization develops for thefirst time a comprehensive conceptual framework for integratingoptimization and constraint satisfaction, then goes a step furtherand shows how extending logical inference to optimization allowsfor more powerful as well as flexible modeling and solutiontechniques. Designed to be easily accessible to industryprofessionals and academics in both operations research andartificial intelligence, the book provides a wealth of examples aswell as elegant techniques and modeling frameworks ready forimplementation. Timely, original, and thought-provoking,Logic-Based Methods for Optimization: * Demonstrates the advantages of combining the techniques inproblem solving * Offers tutorials in constraint satisfaction/constraintprogramming and logical inference * Clearly explains such concepts as relaxation, cutting planes,nonserial dynamic programming, and Bender's decomposition * Reviews the necessary technologies for software developersseeking to combine the two techniques * Features extensive references to important computationalstudies * And much more

Principles and Practice of Constraint Programming - CP'99

Author : Joxan Jaffar
Publisher : Springer Science & Business Media
ISBN 13 : 3540666265
Total Pages : 511 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Principles and Practice of Constraint Programming - CP'99 by : Joxan Jaffar

Download or read book Principles and Practice of Constraint Programming - CP'99 written by Joxan Jaffar and published by Springer Science & Business Media. This book was released on 1999-09-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Principles and Practice of Constraint Programmingm CP'99, held in Alexandria, Virginia, USA in October 1999. The 30 revised full papers presented together with three invited papers and eight posters were carefully reviewed and selected for inclusion in the book from a total of 97 papers submitted. All current aspects of constraint programming and applications in various areas are addressed.

Theory of Linear and Integer Programming

Author : Alexander Schrijver
Publisher : John Wiley & Sons
ISBN 13 : 9780471982326
Total Pages : 488 pages
Book Rating : 4.9/5 (823 download)

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Book Synopsis Theory of Linear and Integer Programming by : Alexander Schrijver

Download or read book Theory of Linear and Integer Programming written by Alexander Schrijver and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.