Foundations Of Integer Programming

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Linear Programming

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
ISBN 13 : 1461476305
Total Pages : 420 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Linear Programming by : Robert J Vanderbei

Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Fourth Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with a substantial treatment of linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Readers will discover a host of practical business applications as well as non-business applications. Topics are clearly developed with many numerical examples worked out in detail. Specific examples and concrete algorithms precede more abstract topics. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered, including the two-phase simplex method, primal-dual simplex method, path-following interior-point method, and homogeneous self-dual methods. In addition, the author provides online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book's website. The website also includes new online instructional tools and exercises.

Foundations of Integer Programming

Author : Harvey M. Salkin
Publisher : North Holland
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Foundations of Integer Programming by : Harvey M. Salkin

Download or read book Foundations of Integer Programming written by Harvey M. Salkin and published by North Holland. This book was released on 1989 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Linear Programming: Foundations and Extensions

Author : Robert J. Vanderbei
Publisher : Springer
ISBN 13 : 0792381416
Total Pages : 440 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Linear Programming: Foundations and Extensions by : Robert J. Vanderbei

Download or read book Linear Programming: Foundations and Extensions written by Robert J. Vanderbei and published by Springer. This book was released on 1998-03-31 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well. This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it. Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available: The two-phase simplex method The primal-dual simplex method The path-following interior-point method The homogeneous self-dual methods.£/LIST£.

Linear Programming

Author : Robert J Vanderbei
Publisher : Springer Science & Business Media
ISBN 13 : 038774388X
Total Pages : 469 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Linear Programming by : Robert J Vanderbei

Download or read book Linear Programming written by Robert J Vanderbei and published by Springer Science & Business Media. This book was released on 2007-10-23 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Third Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. You’ll discover a host of practical business applications as well as non-business applications. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered. The book’s accompanying website includes the C programs, JAVA tools, and new online instructional tools and exercises.

Integer and Combinatorial Optimization

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
ISBN 13 : 1118626869
Total Pages : 782 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Integer and Combinatorial Optimization by : Laurence A. Wolsey

Download or read book Integer and Combinatorial Optimization written by Laurence A. Wolsey and published by John Wiley & Sons. This book was released on 2014-08-28 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION "This book provides an excellent introduction and survey of traditional fields of combinatorial optimization . . . It is indeed one of the best and most complete texts on combinatorial optimization . . . available. [And] with more than 700 entries, [it] has quite an exhaustive reference list."-Optima "A unifying approach to optimization problems is to formulate them like linear programming problems, while restricting some or all of the variables to the integers. This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews "[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews "This comprehensive and wide-ranging book will undoubtedly become a standard reference book for all those in the field of combinatorial optimization."-Bulletin of the London Mathematical Society "This text should be required reading for anybody who intends to do research in this area or even just to keep abreast of developments."-Times Higher Education Supplement, London Also of interest . . . INTEGER PROGRAMMING Laurence A. Wolsey Comprehensive and self-contained, this intermediate-level guide to integer programming provides readers with clear, up-to-date explanations on why some problems are difficult to solve, how techniques can be reformulated to give better results, and how mixed integer programming systems can be used more effectively. 1998 (0-471-28366-5) 260 pp.

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.

FOUNDATIONS OF INTEGER PROGRAMMING

Author : Harvey Salkin
Publisher :
ISBN 13 :
Total Pages : 755 pages
Book Rating : 4.:/5 (878 download)

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Book Synopsis FOUNDATIONS OF INTEGER PROGRAMMING by : Harvey Salkin

Download or read book FOUNDATIONS OF INTEGER PROGRAMMING written by Harvey Salkin and published by . This book was released on 1989 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization Models

Author : Giuseppe C. Calafiore
Publisher : Cambridge University Press
ISBN 13 : 1107050871
Total Pages : 651 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Optimization Models by : Giuseppe C. Calafiore

Download or read book Optimization Models written by Giuseppe C. Calafiore and published by Cambridge University Press. This book was released on 2014-10-31 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible textbook demonstrates how to recognize, simplify, model and solve optimization problems - and apply these principles to new projects.

Integer Programming

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
ISBN 13 : 1119606535
Total Pages : 336 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Integer Programming by : Laurence A. Wolsey

Download or read book Integer Programming written by Laurence A. Wolsey and published by John Wiley & Sons. This book was released on 2020-10-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A PRACTICAL GUIDE TO OPTIMIZATION PROBLEMS WITH DISCRETE OR INTEGER VARIABLES, REVISED AND UPDATED The revised second edition of Integer Programming explains in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems. The second edition also includes information on the remarkable progress in the development of mixed integer programming solvers in the 22 years since the first edition of the book appeared. The updated text includes information on the most recent developments in the field such as the much improved preprocessing/presolving and the many new ideas for primal heuristics included in the solvers. The result has been a speed-up of several orders of magnitude. The other major change reflected in the text is the widespread use of decomposition algorithms, in particular column generation (branch-(cut)-and-price) and Benders’ decomposition. The revised second edition: Contains new developments on column generation Offers a new chapter on Benders’ algorithm Includes expanded information on preprocessing, heuristics, and branch-and-cut Presents several basic and extended formulations, for example for fixed cost network flows Also touches on and briefly introduces topics such as non-bipartite matching, the complexity of extended formulations or a good linear program for the implementation of lift-and-project Written for students of integer/mathematical programming in operations research, mathematics, engineering, or computer science, Integer Programming offers an updated edition of the basic text that reflects the most recent developments in the field.

50 Years of Integer Programming 1958-2008

Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540682791
Total Pages : 804 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis 50 Years of Integer Programming 1958-2008 by : Michael Jünger

Download or read book 50 Years of Integer Programming 1958-2008 written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2009-11-06 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1958, Ralph E. Gomory transformed the field of integer programming when he published a paper that described a cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a special workshop celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. It contains reprints of key historical articles and written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community. Useful for anyone in mathematics, computer science and operations research, this book exposes mathematical optimization, specifically integer programming and combinatorial optimization, to a broad audience.

Linear and Integer Programming Made Easy

Author : T. C. Hu
Publisher : Springer
ISBN 13 : 3319240013
Total Pages : 151 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Linear and Integer Programming Made Easy by : T. C. Hu

Download or read book Linear and Integer Programming Made Easy written by T. C. Hu and published by Springer. This book was released on 2016-05-03 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides concise coverage of the basics of linear and integer programming which, with megatrends toward optimization, machine learning, big data, etc., are becoming fundamental toolkits for data and information science and technology. The authors’ approach is accessible to students from almost all fields of engineering, including operations research, statistics, machine learning, control system design, scheduling, formal verification and computer vision. The presentations enables the basis for numerous approaches to solving hard combinatorial optimization problems through randomization and approximation. Readers will learn to cast various problems that may arise in their research as optimization problems, understand the cases where the optimization problem will be linear, choose appropriate solution methods and interpret results appropriately.

Linear Programming and Algorithms for Communication Networks

Author : Eiji Oki
Publisher : CRC Press
ISBN 13 : 1466552646
Total Pages : 208 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Linear Programming and Algorithms for Communication Networks by : Eiji Oki

Download or read book Linear Programming and Algorithms for Communication Networks written by Eiji Oki and published by CRC Press. This book was released on 2012-08-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explaining how to apply to mathematical programming to network design and control, Linear Programming and Algorithms for Communication Networks: A Practical Guide to Network Design, Control, and Management fills the gap between mathematical programming theory and its implementation in communication networks. From the basics all the way through to m

An Introduction to Linear Programming and Game Theory

Author : Paul R. Thie
Publisher : John Wiley & Sons
ISBN 13 : 1118165454
Total Pages : 476 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis An Introduction to Linear Programming and Game Theory by : Paul R. Thie

Download or read book An Introduction to Linear Programming and Game Theory written by Paul R. Thie and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.

Large Scale Linear and Integer Optimization: A Unified Approach

Author : Richard Kipp Martin
Publisher : Springer Science & Business Media
ISBN 13 : 1461549752
Total Pages : 739 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Large Scale Linear and Integer Optimization: A Unified Approach by : Richard Kipp Martin

Download or read book Large Scale Linear and Integer Optimization: A Unified Approach written by Richard Kipp Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook about linear and integer linear optimization. There is a growing need in industries such as airline, trucking, and financial engineering to solve very large linear and integer linear optimization problems. Building these models requires uniquely trained individuals. Not only must they have a thorough understanding of the theory behind mathematical programming, they must have substantial knowledge of how to solve very large models in today's computing environment. The major goal of the book is to develop the theory of linear and integer linear optimization in a unified manner and then demonstrate how to use this theory in a modern computing environment to solve very large real world problems. After presenting introductory material in Part I, Part II of this book is de voted to the theory of linear and integer linear optimization. This theory is developed using two simple, but unifying ideas: projection and inverse projec tion. Through projection we take a system of linear inequalities and replace some of the variables with additional linear inequalities. Inverse projection, the dual of this process, involves replacing linear inequalities with additional variables. Fundamental results such as weak and strong duality, theorems of the alternative, complementary slackness, sensitivity analysis, finite basis the orems, etc. are all explained using projection or inverse projection. Indeed, a unique feature of this book is that these fundamental results are developed and explained before the simplex and interior point algorithms are presented.

Nonlinear Integer Programming

Author : Duan Li
Publisher : Springer Science & Business Media
ISBN 13 : 0387329951
Total Pages : 452 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Nonlinear Integer Programming by : Duan Li

Download or read book Nonlinear Integer Programming written by Duan Li and published by Springer Science & Business Media. This book was released on 2006-08-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A combination of both Integer Programming and Nonlinear Optimization, this is a powerful book that surveys the field and provides a state-of-the-art treatment of Nonlinear Integer Programming. It is the first book available on the subject. The book aims to bring the theoretical foundation and solution methods for nonlinear integer programming to students and researchers in optimization, operations research, and computer science.

Dual-Feasible Functions for Integer Programming and Combinatorial Optimization

Author : Cláudio Alves
Publisher : Springer
ISBN 13 : 3319276042
Total Pages : 166 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Dual-Feasible Functions for Integer Programming and Combinatorial Optimization by : Cláudio Alves

Download or read book Dual-Feasible Functions for Integer Programming and Combinatorial Optimization written by Cláudio Alves and published by Springer. This book was released on 2016-01-23 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a postgraduate audience the keys they need to understand and further develop a set of tools for the efficient computation of lower bounds and valid inequalities in integer programs and combinatorial optimization problems. After discussing the classical approaches described in the literature, the book addresses how to extend these tools to other non-standard formulations that may be applied to a broad set of applications. Examples are provided to illustrate the underlying concepts and to pave the way for future contributions.