Theory Of Linear And Integer Programming

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Theory of Linear and Integer Programming

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Author by : Alexander Schrijver
Languange Used : English, France, Spanish, Italia and chinese
Page : 484
Isbn : 9780471982326
Identifier : 0471982326
Release : 1998-07-07
Publisher by : John Wiley & Sons
Category : Mathematics
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Description : Read Now Theory Of Linear And Integer Programming by Alexander Schrijver and you can download with pub, pdf, txt, doc, and more file format with free account. theory of linear and integer programming alexander schrijver centrum voor wiskunde en informatica, amsterdam, the netherlands this book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. it aims at complementing the more practically oriented books in this field. a special feature is the author's coverage of important recent developments in linear and integer programming. applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. the book is intended for graduate students and researchers in operations research, mathematics and computer science. it will also be of interest to mathematical historians. contents 1 introduction and preliminaries; 2 problems, algorithms, and complexity; 3 linear algebra and complexity; 4 theory of lattices and linear diophantine equations; 5 algorithms for linear diophantine equations; 6 diophantine approximation and basis reduction; 7 fundamental concepts and results on polyhedra, linear inequalities, and linear programming; 8 the structure of polyhedra; 9 polarity, and blocking and anti-blocking polyhedra; 10 sizes and the theoretical complexity of linear inequalities and linear programming; 11 the simplex method; 12 primal-dual, elimination, and relaxation methods; 13 khachiyan's method for linear programming; 14 the ellipsoid method for polyhedra more generally; 15 further polynomiality results in linear programming; 16 introduction to integer linear programming; 17 estimates in integer linear programming; 18 the complexity of integer linear programming; 19 totally unimodular matrices: fundamental properties and examples; 20 recognizing total unimodularity; 21 further theory related to total unimodularity; 22 integral polyhedra and total dual integrality; 23 cutting planes; 24 further methods in integer linear programming; historical and further notes on integer linear programming; references; notation index; author index; subject index

Linear and Integer Programming Theory and Practice

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Author by : Gerard Sierksma
Languange Used : English, France, Spanish, Italia and chinese
Page : 673
Isbn :
Identifier : STANFORD:36105018442546
Release : 1996
Publisher by : Marcel Dekker Incorporated
Category : Mathematics
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Description : Read Now Linear And Integer Programming by Gerard Sierksma and you can download with pub, pdf, txt, doc, and more file format with free account. this unique reference/text details the theoretical and practical aspects of linear and integer programming - covering a wide range of subjects, including duality, optimality criteria, sensitivity analysis, and numerous solution techniques for linear programming problems. requiring only an elementary knowledge of set theory, trigonometry, and calculus, linear and integer programming reflects both the problem-analyzing and problem-solving abilities of linear and integer programming...presents the more rigorous mathematical material in such a way that it can be easily skipped without disturbing the readability of the text...contains important pedagogical features such as a user-friendly, ibm-compatible computer software package for solving linear-programming problems, numerous case studies, fully worked examples, helpful end-of-chapter exercises, the answers to selected problems, key literature citations, and over 1375 equations, drawings, and tables...and more. linear and integer programming is a fundamental reference for applied mathematicians, operations researchers, computer scientists, economists, and industrial engineers, as well as an ideal text for upper-level undergraduate and graduate students in this disciplines.

Integer Programming Theory and Practice

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Author by : John K. Karlof
Languange Used : English, France, Spanish, Italia and chinese
Page : 336
Isbn : 1420039598
Identifier : 9781420039597
Release : 2005-09-22
Publisher by : CRC Press
Category : Technology & Engineering
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Description : Read Now Integer Programming by John K. Karlof and you can download with pub, pdf, txt, doc, and more file format with free account. integer programming: theory and practice contains refereed articles that explore both theoretical aspects of integer programming as well as major applications. this volume begins with a description of new constructive and iterative search methods for solving the boolean optimization problem (boop). following a review of recent developments on convergent lagrangian techniques that use objective level-cut and domain-cut methods to solve separable nonlinear integer-programming problems, the book discusses the generalized assignment problem (gap). the final theoretical chapter analyzes the use of decomposition methods to obtain bounds on the optimal value of solutions to integer linear-programming problems. the first application article contains models and solution algorithms for the rescheduling of airlines following the temporary closure of airports. the next chapters deal with the determination of an optimal mix of chartered and self-owned vessels needed to transport a product. the book then presents an application of integer programming that involves the capture, storage, and transmission of large quantities of data collected during testing scenarios involving military applications related to vehicles, medicine, equipment, missiles, and aircraft. the next article develops an integer linear-programming model to determine the assortment of products that must be carried by stores within a retail chain to maximize profit, and the final article contains an overview of noncommercial software tools for the solution of mixed-integer linear programs (milp). the authors purposefully include applications and theory that are usually not found in contributed books in order to appeal to a wide variety of researchers and practitioners.

Multiobjective Linear and Integer Programming

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Author by : Carlos Henggeler Antunes
Languange Used : English, France, Spanish, Italia and chinese
Page : 209
Isbn : 331928746X
Identifier : 9783319287461
Release : 2016-04-08
Publisher by : Springer
Category : Business & Economics
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Description : Read Now Multiobjective Linear And Integer Programming by Carlos Henggeler Antunes and you can download with pub, pdf, txt, doc, and more file format with free account. this book opens the door to multiobjective optimization for students in fields such as engineering, management, economics and applied mathematics. it offers a comprehensive introduction to multiobjective optimization, with a primary emphasis on multiobjective linear programming and multiobjective integer/mixed integer programming. a didactic book, it is mainly intended for undergraduate and graduate students, but can also be useful for researchers and practitioners. further, it is accompanied by an interactive software package - developed by the authors for windows platforms - which can be used for teaching and decision-making support purposes in multiobjective linear programming problems. thus, besides the textbook’s coverage of the essential concepts, theory and methods, complemented with illustrative examples and exercises, the computational tool enables students to experiment and enhance their technical skills, as well as to capture the essential characteristics of real-world problems.

Large Scale Linear and Integer Optimization: A Unified Approach

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Author by : Richard Kipp Martin
Languange Used : English, France, Spanish, Italia and chinese
Page : 740
Isbn : 1461549752
Identifier : 9781461549758
Release : 2012-12-06
Publisher by : Springer Science & Business Media
Category : Business & Economics
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Description : Read Now Large Scale Linear And Integer Optimization A Unified Approach by Richard Kipp Martin and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

Integer programming theory, applications, and computations

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Author by : Hamdy A. Taha
Languange Used : English, France, Spanish, Italia and chinese
Page : 380
Isbn :
Identifier : UOM:39015018250129
Release : 1975
Publisher by : Academic Pr
Category : Mathematics
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Understanding and Using Linear Programming

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Author by : Jiri Matousek
Languange Used : English, France, Spanish, Italia and chinese
Page : 226
Isbn : 3540307176
Identifier : 9783540307174
Release : 2007-07-04
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Understanding And Using Linear Programming by Jiri Matousek and you can download with pub, pdf, txt, doc, and more file format with free account. the book is an introductory textbook mainly for students of computer science and mathematics. our guiding phrase is "what every theoretical computer scientist should know about linear programming". a major focus is on applications of linear programming, both in practice and in theory. the book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. the book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. one of its main goals is to help the reader to see linear programming "behind the scenes".

Linear and Integer Optimization Theory and Practice, Third Edition

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Author by : Gerard Sierksma
Languange Used : English, France, Spanish, Italia and chinese
Page : 686
Isbn : 1498743129
Identifier : 9781498743129
Release : 2015-05-01
Publisher by : CRC Press
Category : Business & Economics
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Description : Read Now Linear And Integer Optimization by Gerard Sierksma and you can download with pub, pdf, txt, doc, and more file format with free account. presenting a strong and clear relationship between theory and practice, linear and integer optimization: theory and practice is divided into two main parts. the first covers the theory of linear and integer optimization, including both basic and advanced topics. dantzig’s simplex algorithm, duality, sensitivity analysis, integer optimization models, and network models are introduced. more advanced topics also are presented including interior point algorithms, the branch-and-bound algorithm, cutting planes, complexity, standard combinatorial optimization models, the assignment problem, minimum cost flow, and the maximum flow/minimum cut theorem. the second part applies theory through real-world case studies. the authors discuss advanced techniques such as column generation, multiobjective optimization, dynamic optimization, machine learning (support vector machines), combinatorial optimization, approximation algorithms, and game theory. besides the fresh new layout and completely redesigned figures, this new edition incorporates modern examples and applications of linear optimization. the book now includes computer code in the form of models in the gnu mathematical programming language (gmpl). the models and corresponding data files are available for download and can be readily solved using the provided online solver. this new edition also contains appendices covering mathematical proofs, linear algebra, graph theory, convexity, and nonlinear optimization. all chapters contain extensive examples and exercises. this textbook is ideal for courses for advanced undergraduate and graduate students in various fields including mathematics, computer science, industrial engineering, operations research, and management science.

Applied Integer Programming Modeling and Solution

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Author by : Der-San Chen
Languange Used : English, France, Spanish, Italia and chinese
Page : 468
Isbn : 1118210026
Identifier : 9781118210024
Release : 2011-09-20
Publisher by : John Wiley & Sons
Category : Mathematics
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Description : Read Now Applied Integer Programming by Der-San Chen and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

An Introduction to Linear Programming and Game Theory

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Author by : Paul R. Thie
Languange Used : English, France, Spanish, Italia and chinese
Page : 480
Isbn : 1118165454
Identifier : 9781118165454
Release : 2011-09-15
Publisher by : John Wiley & Sons
Category : Mathematics
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Description : Read Now An Introduction To Linear Programming And Game Theory by Paul R. Thie and you can download with pub, pdf, txt, doc, and more file format with free account. 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 mathematicalsociety an introduction to linear programming and game theory, thirdedition presents a rigorous, yet accessible, introduction tothe theoretical concepts and computational techniques of linearprogramming and game theory. now with more extensive modelingexercises and detailed integer programming examples, this bookuniquely illustrates how mathematics can be used in real-worldapplications in the social, life, and managerial sciences,providing readers with the opportunity to develop and apply theiranalytical abilities when solving realistic problems. this third edition addresses various new topics and improvementsin the field of mathematical programming, and it also presents twosoftware programs, lp assistant and the solver add-in for microsoftoffice excel, for solving linear programming problems. lpassistant, developed by coauthor gerard keough, allows readers toperform the basic steps of the algorithms provided in the book andis freely available via the book's related web site. the use of thesensitivity analysis report and integer programming algorithm fromthe solver add-in for microsoft office excel is introduced soreaders can solve the book's linear and integer programmingproblems. a detailed appendix contains instructions for the use ofboth applications. additional features of the third edition include: a discussion of sensitivity analysis for the two-variableproblem, 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 ofthe dual problem a section on developing an example in data envelopmentanalysis an outline of the proof of john nash's theorem on the existenceof equilibrium strategy pairs for non-cooperative, non-zero-sumgames providing a complete mathematical development of all presentedconcepts and examples, introduction to linear programming andgame theory, third edition is an ideal text for linearprogramming and mathematical modeling courses at theupper-undergraduate and graduate levels. it also serves as avaluable reference for professionals who use game theory inbusiness, economics, and management science.

Linear and Integer Programming Made Easy

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Author by : T. C. Hu
Languange Used : English, France, Spanish, Italia and chinese
Page : 143
Isbn : 3319240013
Identifier : 9783319240015
Release : 2016-05-03
Publisher by : Springer
Category : Technology & Engineering
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Description : Read Now Linear And Integer Programming Made Easy by T. C. Hu and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

Nonlinear Integer Programming

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Author by : Duan Li
Languange Used : English, France, Spanish, Italia and chinese
Page : 438
Isbn : 0387329951
Identifier : 9780387329956
Release : 2006-08-13
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Nonlinear Integer Programming by Duan Li and you can download with pub, pdf, txt, doc, and more file format with free account. 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.