50 Years Of Integer Programming 1958 2008

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50 Years of Integer Programming 1958-2008

Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey
50 Years of Integer Programming 1958 2008 Book PDF

Author : Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey
Publisher : Springer Science & Business Media
Page : 804 pages
File Size : 42,9 Mb
Release : 2009-11-06
Category : Mathematics
ISBN : 9783540682790

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50 Years of Integer Programming 1958-2008 by Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey Pdf

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.

50 Years of Integer Programming 1958-2008

Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey
50 Years of Integer Programming 1958 2008 Book PDF

Author : Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey
Publisher : Springer
Page : 804 pages
File Size : 52,7 Mb
Release : 2010-04-29
Category : Mathematics
ISBN : 3540863982

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50 Years of Integer Programming 1958-2008 by Michael Jünger,Thomas M. Liebling,Denis Naddef,George L. Nemhauser,William R. Pulleyblank,Gerhard Reinelt,Giovanni Rinaldi,Laurence A. Wolsey Pdf

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.

Integer Programming and Combinatorial Optimization

Friedrich Eisenbrand,Bruce Shepherd
Integer Programming and Combinatorial Optimization Book PDF

Author : Friedrich Eisenbrand,Bruce Shepherd
Publisher : Springer
Page : 466 pages
File Size : 52,6 Mb
Release : 2010-06-09
Category : Computers
ISBN : 9783642130366

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Integer Programming and Combinatorial Optimization by Friedrich Eisenbrand,Bruce Shepherd Pdf

Theidea ofa refereedconferencefor the mathematicalprogrammingcommunity was proposed by Ravi Kannan and William Pulleyblank to the Mathematical Programming Society (MPS) in the late 1980s. Thus IPCO was born, and MPS has sponsored the conference as one of its main events since IPCO I at the University of Waterloo in 1990. The conference has become the main forum for recent results in Integer Programming and Combinatorial Optimization in the non-Symposium years. This volume compiles the papers presented at IPCO XIV held June 9-11, 2010, at EPFL in Lausanne. The scope of papers considered for IPCO XIV is likely broader than at IPCO I. This is sometimes due to the wealth of new questions and directions brought from related areas. It can also be due to the successful application of “math programming” techniques to models not tra- tionally considered. In any case, the interest in IPCO is greater than ever and this is re?ected in both the number (135) and quality of the submissions. The ProgrammeCommittee with 13 memberswasalsoIPCO’slargest. We thankthe members of the committee, as well as their sub-reviewers, for their exceptional (and time-consuming) work and especially during the online committee meeting held over January. The process resulted in the selection of 34 excellent research papers which were presented in non-parallel sessions over three days in L- sanne. Unavoidably, this has meant that many excellent submissions were not able to be included.

Applied Integer Programming

Der-San Chen,Robert G. Batson,Yu Dang
Applied Integer Programming Book PDF

Author : Der-San Chen,Robert G. Batson,Yu Dang
Publisher : John Wiley & Sons
Page : 489 pages
File Size : 45,9 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118210024

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Applied Integer Programming by Der-San Chen,Robert G. Batson,Yu Dang Pdf

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.

Disjunctive Programming

Egon Balas
Disjunctive Programming Book PDF

Author : Egon Balas
Publisher : Springer
Page : 238 pages
File Size : 43,9 Mb
Release : 2018-11-27
Category : Mathematics
ISBN : 9783030001483

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Disjunctive Programming by Egon Balas Pdf

Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.

Hybrid Metaheuristics

El-ghazali Talbi
Hybrid Metaheuristics Book PDF

Author : El-ghazali Talbi
Publisher : Springer
Page : 458 pages
File Size : 46,7 Mb
Release : 2012-07-31
Category : Technology & Engineering
ISBN : 9783642306716

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Hybrid Metaheuristics by El-ghazali Talbi Pdf

The main goal of this book is to provide a state of the art of hybrid metaheuristics. The book provides a complete background that enables readers to design and implement hybrid metaheuristics to solve complex optimization problems (continuous/discrete, mono-objective/multi-objective, optimization under uncertainty) in a diverse range of application domains. Readers learn to solve large scale problems quickly and efficiently combining metaheuristics with complementary metaheuristics, mathematical programming, constraint programming and machine learning. Numerous real-world examples of problems and solutions demonstrate how hybrid metaheuristics are applied in such fields as networks, logistics and transportation, bio-medical, engineering design, scheduling.

An Introduction to Linear Programming and Game Theory

Paul R. Thie,Gerard E. Keough
An Introduction to Linear Programming and Game Theory Book PDF

Author : Paul R. Thie,Gerard E. Keough
Publisher : John Wiley & Sons
Page : 476 pages
File Size : 46,5 Mb
Release : 2011-09-15
Category : Mathematics
ISBN : 9781118165454

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An Introduction to Linear Programming and Game Theory by Paul R. Thie,Gerard E. Keough Pdf

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.

Mixed Integer Nonlinear Programming

Jon Lee,Sven Leyffer
Mixed Integer Nonlinear Programming Book PDF

Author : Jon Lee,Sven Leyffer
Publisher : Springer Science & Business Media
Page : 692 pages
File Size : 44,5 Mb
Release : 2011-12-02
Category : Mathematics
ISBN : 9781461419273

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Mixed Integer Nonlinear Programming by Jon Lee,Sven Leyffer Pdf

Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables. MINLP is one of the most flexible modeling paradigms available for optimization; but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers and practitioners — including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers — are interested in solving large-scale MINLP instances.

Integer Programming

Michele Conforti,Gérard Cornuéjols,Giacomo Zambelli
Integer Programming Book PDF

Author : Michele Conforti,Gérard Cornuéjols,Giacomo Zambelli
Publisher : Springer
Page : 456 pages
File Size : 46,9 Mb
Release : 2014-11-15
Category : Business & Economics
ISBN : 9783319110080

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Integer Programming by Michele Conforti,Gérard Cornuéjols,Giacomo Zambelli Pdf

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.

Combinatorial Optimization

Gerard Cornuejols
Combinatorial Optimization Book PDF

Author : Gerard Cornuejols
Publisher : SIAM
Page : 140 pages
File Size : 55,6 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 9780898714814

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Combinatorial Optimization by Gerard Cornuejols Pdf

New and elegant proofs of classical results and makes difficult results accessible.

Integer Programming and Combinatorial Optimization

Andrea Lodi,Viswanath Nagarajan
Integer Programming and Combinatorial Optimization Book PDF

Author : Andrea Lodi,Viswanath Nagarajan
Publisher : Springer
Page : 464 pages
File Size : 55,8 Mb
Release : 2019-05-02
Category : Computers
ISBN : 9783030179533

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Integer Programming and Combinatorial Optimization by Andrea Lodi,Viswanath Nagarajan Pdf

This book constitutes the refereed proceedings of the 20th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2019, held in Ann Arbor, MI, USA, in May 2019. The 33 full versions of extended abstracts presented were carefully reviewed and selected from 114 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.

Mixed-Integer Representations in Control Design

Ionela Prodan,Florin Stoican,Sorin Olaru,Silviu-Iulian Niculescu
Mixed Integer Representations in Control Design Book PDF

Author : Ionela Prodan,Florin Stoican,Sorin Olaru,Silviu-Iulian Niculescu
Publisher : Springer
Page : 107 pages
File Size : 55,5 Mb
Release : 2015-11-25
Category : Technology & Engineering
ISBN : 9783319269955

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Mixed-Integer Representations in Control Design by Ionela Prodan,Florin Stoican,Sorin Olaru,Silviu-Iulian Niculescu Pdf

In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appropriate optimization problems over a feasible region, which is neither convex nor compact. The proposed approach uses the combinatorial notion of hyperplane arrangement, partitioning the space by a finite collection of hyperplanes, to describe non-convex regions efficiently. Mixed-integer programming techniques are then applied to propose acceptable formulations of the overall problem. Multiple constructions may arise from the same initial problem, and their complexity under various parameters - space dimension, number of binary variables, etc. - is also discussed. This book is a useful tool for academic researchers and graduate students interested in non-convex systems working in control engineering area, mobile robotics and/or optimal planning and decision-making.

Integer Programming

Laurence A. Wolsey
Integer Programming Book PDF

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
Page : 336 pages
File Size : 53,5 Mb
Release : 2020-09-18
Category : Mathematics
ISBN : 9781119606550

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Integer Programming by Laurence A. Wolsey Pdf

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.

Integer Programming and Combinatorial Optimization

Mohit Singh,David P. Williamson
Integer Programming and Combinatorial Optimization Book PDF

Author : Mohit Singh,David P. Williamson
Publisher : Springer Nature
Page : 490 pages
File Size : 41,8 Mb
Release : 2021-05-05
Category : Computers
ISBN : 9783030738792

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Integer Programming and Combinatorial Optimization by Mohit Singh,David P. Williamson Pdf

This book constitutes the proceedings of the 22nd Conference on Integer Programming and Combinatorial Optimization, IPCO 2021, which took place during May 19-21, 2021. The conference was organized by Georgia Institute of Technology and planned to take place it Atlanta, GA, USA, but changed to an online format due to the COVID-19 pandemic. The 33 papers included in this book were carefully reviewed and selected from 90 submissions. IPCO is under the auspices of the MathematicalOptimization Society, and it is an important forum for presenting the latest results of theory and practice of the various aspects of discrete optimization.

Optimization of Unit Commitment and Economic Dispatch in Microgrids Based on Genetic Algorithm and Mixed Integer Linear Programming

Mohsen Shiralizadeh Nemati
Optimization of Unit Commitment and Economic Dispatch in Microgrids Based on Genetic Algorithm and Mixed Integer Linear Programming Book PDF

Author : Mohsen Shiralizadeh Nemati
Publisher : kassel university press GmbH
Page : 189 pages
File Size : 55,5 Mb
Release : 2018-04-16
Category : Electronic
ISBN : 9783737604642

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Optimization of Unit Commitment and Economic Dispatch in Microgrids Based on Genetic Algorithm and Mixed Integer Linear Programming by Mohsen Shiralizadeh Nemati Pdf

Energy Management System (EMS) applications of modern power networks like microgrids have to respond to a number of stringent challenges due to current energy revolution. Optimal resource dispatch tasks must be handled with specific regard to the addition of new resource types and the adoption of novel modeling considerations. In addition, due to the comprehensive changes concerning the multi cell grid structure, new policies should be fulfilled via microgrids’ EMS. At the same time achieving a variety of conflicting goals in different microgrids requires a universal and a multi criteria optimization tool. In this work two dispatch-optimizers based on genetic algorithm and mixed integer linear programming for a centralized EMS are introduced which can schedule the unit commitment and economic dispatch of microgrid units. In the proposed methods, different network restrictions like voltages and equipment loadings and unit constraints have been considered.