Binary Integer Linear Programming

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Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Binary Integer Linear Programming by : Stanford University. Department of Operations Research

Download or read book Binary Integer Linear Programming written by Stanford University. Department of Operations Research and published by . This book was released on 1980 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report develops a hybrid algorithm to solve the binary integer linear programming problem. This problem involves optimizing a linear objective function subject to a set of linear inequalities where, in addition, we require the variables to take on the value 0 or 1. the approach developed is that of implicit enumeration; that is, the set of all possible binary combinations of values for the variables is searched without considering each combination explicitly. This is accomplished by applying a series of tests which when satisfied allow immediate elimination of large subsets of these completions. It is in the choice of tests to be used that this algorithm may be termed a hybrid. Borrowing penalties and pseudocosts as well as binary infeasibility and conditional binary infeasibility tests from previous approaches, the algorithm is built to use each of their strengths. In addition, an existing heuristic procedure is used to generate a good feasible binary point at the outset. Thus, a good initial bound on the optimal function value is available. (Author).

Large Scale Linear and Integer Optimization: A Unified Approach

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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.

Linear Integer Programming

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110703114
Total Pages : 204 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Linear Integer Programming by : Elias Munapo

Download or read book Linear Integer Programming written by Elias Munapo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art methods in Linear Integer Programming, including some new algorithms and heuristic methods developed by the authors in recent years. Topics as Characteristic equation (CE), application of CE to bi-objective and multi-objective problems, Binary integer problems, Mixed-integer models, Knapsack models, Complexity reduction, Feasible-space reduction, Random search, Connected graph are also treated.

Mixed Integer Nonlinear Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 1461419271
Total Pages : 687 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mixed Integer Nonlinear Programming by : Jon Lee

Download or read book Mixed Integer Nonlinear Programming written by Jon Lee and published by Springer Science & Business Media. This book was released on 2011-12-02 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Academic Press
ISBN 13 : 1483260372
Total Pages : 395 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Integer Programming by : Hamdy A. Taha

Download or read book Integer Programming written by Hamdy A. Taha and published by Academic Press. This book was released on 2014-05-10 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Programming: Theory, Applications, and Computations provides information pertinent to the theory, applications, and computations of integer programming. This book presents the computational advantages of the various techniques of integer programming. Organized into eight chapters, this book begins with an overview of the general categorization of integer applications and explains the three fundamental techniques of integer programming. This text then explores the concept of implicit enumeration, which is general in a sense that it is applicable to any well-defined binary program. Other chapters consider the branch-and-bound methods, the cutting-plane method, and its closely related asymptotic problem. This book discusses as well several specialized algorithms for certain well-known integer models and provides an alternative approach to the solution of the integer problem. The final chapter deals with a number of observations about the formulations and executions of integer programming models. This book is a valuable resource for industrial engineers and research workers.

Solving the Binary Integer Bi-level Linear Programming Problem

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Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (575 download)

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Book Synopsis Solving the Binary Integer Bi-level Linear Programming Problem by : Peter M. Hocking

Download or read book Solving the Binary Integer Bi-level Linear Programming Problem written by Peter M. Hocking and published by . This book was released on 2004 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integer Linear Programming in Computational and Systems Biology

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Publisher : Cambridge University Press
ISBN 13 : 1108421768
Total Pages : 431 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Integer Linear Programming in Computational and Systems Biology by : Dan Gusfield

Download or read book Integer Linear Programming in Computational and Systems Biology written by Dan Gusfield and published by Cambridge University Press. This book was released on 2019-06-13 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This hands-on tutorial text for non-experts demonstrates biological applications of a versatile modeling and optimization technique.

A Solution Technique for Binary Integer Programming Using Matchings on Graphs

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ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis A Solution Technique for Binary Integer Programming Using Matchings on Graphs by : Glenn Martin Weber

Download or read book A Solution Technique for Binary Integer Programming Using Matchings on Graphs written by Glenn Martin Weber and published by . This book was released on 1978 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integer Programming

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Publisher : Springer
ISBN 13 : 331911008X
Total Pages : 466 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Integer Programming by : Michele Conforti

Download or read book Integer Programming written by Michele Conforti and published by Springer. This book was released on 2014-11-15 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chemical Production Scheduling

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Publisher : Cambridge University Press
ISBN 13 : 1107154758
Total Pages : 459 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Chemical Production Scheduling by : Christos T. Maravelias

Download or read book Chemical Production Scheduling written by Christos T. Maravelias and published by Cambridge University Press. This book was released on 2021-05-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand common scheduling as well as other advanced operational problems with this valuable reference from a recognized leader in the field. Beginning with basic principles and an overview of linear and mixed-integer programming, this unified treatment introduces the fundamental ideas underpinning most modeling approaches, and will allow you to easily develop your own models. With more than 150 figures, the basic concepts and ideas behind the development of different approaches are clearly illustrated. Addresses a wide range of problems arising in diverse industrial sectors, from oil and gas to fine chemicals, and from commodity chemicals to food manufacturing. A perfect resource for engineering and computer science students, researchers working in the area, and industrial practitioners.

Searching for the Multipliers in Linear Binary-integer Problems with Linear Programming

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ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (392 download)

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Book Synopsis Searching for the Multipliers in Linear Binary-integer Problems with Linear Programming by : Robert W. Wiley

Download or read book Searching for the Multipliers in Linear Binary-integer Problems with Linear Programming written by Robert W. Wiley and published by . This book was released on 1972 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integer Programming

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Integer Programming by : Robert Garfinkel

Download or read book Integer Programming written by Robert Garfinkel and published by Wiley-Interscience. This book was released on 1972 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programming; Integer programming graphs; Enumeration methods; Cutting plane methods; The knapsack problem; Integer programming over cones; The set covering and partitioning problems; Approximate methods; Integer nonlinear programming; Computational experience.

Modeling and Solving Linear Programming with R

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Publisher : OmniaScience
ISBN 13 : 8494422936
Total Pages : 108 pages
Book Rating : 4.4/5 (944 download)

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Book Synopsis Modeling and Solving Linear Programming with R by : Jose M. Sallan

Download or read book Modeling and Solving Linear Programming with R written by Jose M. Sallan and published by OmniaScience. This book was released on 2015-09-09 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear programming is one of the most extensively used techniques in the toolbox of quantitative methods of optimization. One of the reasons of the popularity of linear programming is that it allows to model a large variety of situations with a simple framework. Furthermore, a linear program is relatively easy to solve. The simplex method allows to solve most linear programs efficiently, and the Karmarkar interior-point method allows a more efficient solving of some kinds of linear programming. The power of linear programming is greatly enhanced when came the opportunity of solving integer and mixed integer linear programming. In these models all or some of the decision variables are integers, respectively. In this book we provide a brief introduction to linear programming, together with a set of exercises that introduce some applications of linear programming. We will also provide an introduction to solve linear programming in R. For each problem a possible solution through linear programming is introduced, together with the code to solve it in R and its numerical solution.

Integer Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 9401579458
Total Pages : 197 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Integer Programming by : Stanislav Walukiewicz

Download or read book Integer Programming written by Stanislav Walukiewicz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi, ... , so j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point al!e.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell 0. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics ... '. All armably true. And all statements obtainable this way form part of the raison d'etre of this series.

Large Scale Linear and Integer Optimization: A Unified Approach

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792382027
Total Pages : 762 pages
Book Rating : 4.3/5 (82 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 1999 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Kipp Martin has systematically provided users with a unified treatment of the algorithms and the implementation of the algorithms that are important in solving large problems. Parts I and II of Large Scale Linear and Integer Programming provide an introduction to linear optimization using two simple but unifying ideas-projection and inverse projection. The ideas of projection and inverse projection are also extended to integer linear optimization. With the projection-inverse projection approach, theoretical results in integer linear optimization become much more analogous to their linear optimization counterparts. Hence, with an understanding of these two concepts, the reader is equipped to understand fundamental theorems in an intuitive way. Part III presents the most important algorithms that are used in commercial software for solving real-world problems. Part IV shows how to take advantage of the special structure in very large scale applications through decomposition. Part V describes,how to take advantage of special structure by modifying and enhancing the algorithms developed in Part III. This section contains a discussion of the current research in linear and integer linear programming. The author also shows in Part V how to take different problem formulations and appropriately 'modify' them so that the algorithms from Part III are more efficient. Again, the projection and inverse projection concepts are used in Part V to present the current research in linear and integer linear optimization in a very unified way.

The Golden Ticket

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Publisher : Princeton University Press
ISBN 13 : 0691175780
Total Pages : 188 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Golden Ticket by : Lance Fortnow

Download or read book The Golden Ticket written by Lance Fortnow and published by Princeton University Press. This book was released on 2017-02-28 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The P-NP problem is the most important open problem in computer science, if not all of mathematics. Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.

Applied Integer Programming

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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.