Algorithms And Model Formulations In Mathematical Programming

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Algorithms and Model Formulations in Mathematical Programming

Author : Stein W. Wallace
Publisher : Springer Science & Business Media
ISBN 13 : 3642837247
Total Pages : 199 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Algorithms and Model Formulations in Mathematical Programming by : Stein W. Wallace

Download or read book Algorithms and Model Formulations in Mathematical Programming written by Stein W. Wallace and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Research Workshop (ARW) "Algorithms and Model Formulations in Mathematical Programming" was held at Chr. Michelsen Institute in Bergen, Norway, from June 15 to June 19, 1987. The ARW was organized on behalf of the Committee on Algorithms (COAL) of the Mathematical Programming Society (MPS). Co-directors were Jan Telgen (Van Dien+Co Organisatie, Utrecht, The Netherlands) and Roger J-B Wets (The University of California at Davis, USA). 43 participants from 11 countries attended the ARW. The workshop was organized such that each day started with a - minute keynote presentation, followed by a 45-minute plenary discussion. The first part of this book contains the contributions of the five keynote speakers. The plenary discussions were taped, and the transcripts given to the keynote speakers. They have treated the transcripts differently, some by working the discussions into their papers, others by adding a section which sums up the discussions. The plenary discussions were very interesting and stimulating due to active participation of the audience. The five keynote speakers were asked to view the topic of the workshop, the interaction between algorithms and model formulations, from different perspectives. On the first day of the workshop Professor Alexander H.G. Rinnooy Kan (Erasmus University, Rotterdam, The Netherlands) put the theme into a larger context by his talk "Mathematical programming as an intellectual activity". This is an article of importance to any mathematical programmer who is interested in his field's history and present state.

Algorithms and Model Formulations in Mathematical Programming

Author : Stein W. Wallace
Publisher :
ISBN 13 :
Total Pages : 191 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Algorithms and Model Formulations in Mathematical Programming by : Stein W. Wallace

Download or read book Algorithms and Model Formulations in Mathematical Programming written by Stein W. Wallace and published by . This book was released on 1987 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Model Building in Mathematical Programming

Author : H. Paul Williams
Publisher : John Wiley & Sons
ISBN 13 : 1118506189
Total Pages : 432 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Model Building in Mathematical Programming by : H. Paul Williams

Download or read book Model Building in Mathematical Programming written by H. Paul Williams and published by John Wiley & Sons. This book was released on 2013-01-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th edition of Model Building in Mathematical Programmingdiscusses the general principles of model building in mathematicalprogramming and demonstrates how they can be applied by usingseveral simplified but practical problems from widely differentcontexts. Suggested formulations and solutions are given togetherwith some computational experience to give the reader a feel forthe computational difficulty of solving that particular type ofmodel. Furthermore, this book illustrates the scope and limitationsof mathematical programming, and shows how it can be applied toreal situations. By emphasizing the importance of the building andinterpreting of models rather than the solution process, the authorattempts to fill a gap left by the many works which concentrate onthe algorithmic side of the subject. In this article, H.P. Williams explains his originalmotivation and objectives in writing the book, how it has beenmodified and updated over the years, what is new in this editionand why it has maintained its relevance and popularity over theyears: ahref="http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html"http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html/a

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.

Algorithms and Model Formulations in Mathematical

Author : NATO Advanced Research Workshop Algorithms
Publisher :
ISBN 13 :
Total Pages : 191 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Algorithms and Model Formulations in Mathematical by : NATO Advanced Research Workshop Algorithms

Download or read book Algorithms and Model Formulations in Mathematical written by NATO Advanced Research Workshop Algorithms and published by . This book was released on 1989 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:

AMPL

Author : Robert Fourer
Publisher :
ISBN 13 : 9780894262340
Total Pages : 351 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis AMPL by : Robert Fourer

Download or read book AMPL written by Robert Fourer and published by . This book was released on 1993 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Languages in Mathematical Optimization

Author : Josef Kallrath
Publisher : Springer Science & Business Media
ISBN 13 : 1461302153
Total Pages : 427 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Modeling Languages in Mathematical Optimization by : Josef Kallrath

Download or read book Modeling Languages in Mathematical Optimization written by Josef Kallrath and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems.

Methods and Models in Mathematical Programming

Author : S. A. MirHassani
Publisher : Springer Nature
ISBN 13 : 3030270459
Total Pages : 389 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Methods and Models in Mathematical Programming by : S. A. MirHassani

Download or read book Methods and Models in Mathematical Programming written by S. A. MirHassani and published by Springer Nature. This book was released on 2019-12-09 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on mathematical modeling, describes the process of constructing and evaluating models, discusses the challenges and delicacies of the modeling process, and explicitly outlines the required rules and regulations so that the reader will be able to generalize and reuse concepts in other problems by relying on mathematical logic.Undergraduate and postgraduate students of different academic disciplines would find this book a suitable option preparing them for jobs and research fields requiring modeling techniques. Furthermore, this book can be used as a reference book for experts and practitioners requiring advanced skills of model building in their jobs.

Model Building in Mathematical Programming

Author : H. Paul Williams
Publisher : Milton, Australia : Jacaranda Press ; Oxford : B. Blackwell ; Toronto : J. Wiley
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Model Building in Mathematical Programming by : H. Paul Williams

Download or read book Model Building in Mathematical Programming written by H. Paul Williams and published by Milton, Australia : Jacaranda Press ; Oxford : B. Blackwell ; Toronto : J. Wiley. This book was released on 1999-10-25 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Review of previous editions 'Such a text - and this is the only one of this type I know of - should be the basis of all instruction in Mathematical Programming.' Journal of the Royal Statistical Society 'An excellent introduction ... for students of business administration and people who want to see the utility of operations research.' European Journal of Operational Research 'It will be appreciated very much by practitioners who already have knowledge in the field of mathematical programming.' Mathematical Programming Society Newsletter Model Building in Mathematical Programming Fourth Edition H. Paul Williams Faculty of Mathematical Studies, University of Southampton, UK This extensively revised fourth edition of this well-known and much praised book contains a great deal of new material. In particular sections and new problems have been added covering Revenue Management. Hydro Electric Generation, Date Envelopment (efficiency) Analysis, Milk Distribution and Collection and Constraint Programming. The book discusses the general principles of model building in mathematical programming and shows how they can be applied by using simplified but practical problems from widely different contexts. Suggested formulations and solutions are given in the latter part of the book together with computational experience to give the reader a feel for the computation difficulty of solving that particular type of model. Aimed at undergraduates, postgraduates, research students and managers, this book illustrates the scope and limitations of mathematical programming, and shows how it can be applied to real situations. By emphasizing the importance of the building and interpretation of models rather than the solution process, the author attempts to fill a gap left by the many works which concentrate on the algorithmic side of the subject.

Computational Combinatorial Optimization

Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540428771
Total Pages : 317 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computational Combinatorial Optimization by : Michael Jünger

Download or read book Computational Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2001-11-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality.

Logic-Based Decision Support

Author : R.G. Jeroslow
Publisher : Elsevier
ISBN 13 : 0080867804
Total Pages : 239 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Logic-Based Decision Support by : R.G. Jeroslow

Download or read book Logic-Based Decision Support written by R.G. Jeroslow and published by Elsevier. This book was released on 1989-02-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on a series of lectures given by the author at the first Advanced Research Institute on Discrete Applied Mathematics, held at Rutgers University. It emphasizes connections between the representational aspects of mixed integer programming and applied logic, as well as discussing logic-based approaches to decision support which help to create more `intelligent' systems. Dividing naturally into two parts, the first four chapters are an overview of mixed-integer programming representability techniques. This is followed by five chapters on applied logic, expert systems, logic and databases, and complexity theory. It concludes with a summary of open research issues and an attempt to extrapolate trends in this rapidly developing area.

Model Solving in Mathematical Programming

Author : H. P. Williams
Publisher :
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Model Solving in Mathematical Programming by : H. P. Williams

Download or read book Model Solving in Mathematical Programming written by H. P. Williams and published by . This book was released on 1993-04-13 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses numerical examples with commentary on the nature of applications. Definitions are introduced in context and examples are intended to motivate discussion as well as aid in understanding. Concentrates on methods for solving the general models of linear, separable nonlinear and integer programming along with their practical computer implementation. Numerical examples are sufficiently small to be solvable by hand.

Mathematical Modelling

Author : J. Caldwell
Publisher : Springer Science & Business Media
ISBN 13 : 1402019939
Total Pages : 252 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mathematical Modelling by : J. Caldwell

Download or read book Mathematical Modelling written by J. Caldwell and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.

Algorithmic Principles of Mathematical Programming

Author : Ulrich Faigle
Publisher : Springer Science & Business Media
ISBN 13 : 9401598967
Total Pages : 343 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Algorithmic Principles of Mathematical Programming by : Ulrich Faigle

Download or read book Algorithmic Principles of Mathematical Programming written by Ulrich Faigle and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature.

Linear Programming Using MATLAB®

Author : Nikolaos Ploskas
Publisher : Springer
ISBN 13 : 3319659197
Total Pages : 646 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Linear Programming Using MATLAB® by : Nikolaos Ploskas

Download or read book Linear Programming Using MATLAB® written by Nikolaos Ploskas and published by Springer. This book was released on 2017-10-28 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical background and mathematical formulation is included for each algorithm as well as comprehensive numerical examples and corresponding MATLAB® code. The MATLAB® implementations presented in this book are sophisticated and allow users to find solutions to large-scale benchmark linear programs. Each algorithm is followed by a computational study on benchmark problems that analyze the computational behavior of the presented algorithms. As a solid companion to existing algorithmic-specific literature, this book will be useful to researchers, scientists, mathematical programmers, and students with a basic knowledge of linear algebra and calculus. The clear presentation enables the reader to understand and utilize all components of simplex-type methods, such as presolve techniques, scaling techniques, pivoting rules, basis update methods, and sensitivity analysis.

Introduction to Mathematical Programming

Author : Wayne L. Winston
Publisher : Duxbury Resource Center
ISBN 13 :
Total Pages : 890 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Introduction to Mathematical Programming by : Wayne L. Winston

Download or read book Introduction to Mathematical Programming written by Wayne L. Winston and published by Duxbury Resource Center. This book was released on 1995 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains LINDO 6.1, LINGO 7.0, NeuralWorks Predict, Premium Solver for Education and examples files.

Compact Extended Linear Programming Models

Author : Giuseppe Lancia
Publisher : Springer
ISBN 13 : 3319639765
Total Pages : 208 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Compact Extended Linear Programming Models by : Giuseppe Lancia

Download or read book Compact Extended Linear Programming Models written by Giuseppe Lancia and published by Springer. This book was released on 2017-08-31 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a handy, unified introduction to the theory of compact extended formulations of exponential-size integer linear programming (ILP) models. Compact extended formulations are equally powerful, but polynomial-sized, models whose solutions do not require the implementation of separation and pricing procedures. The book is written in a general, didactic form, first developing the background theoretical concepts (polyhedra, projections, linear and integer programming) and then delving into the various techniques for compact extended reformulations. The techniques are illustrated through a wealth of examples touching on many application areas, such as classical combinatorial optimization, network design, timetabling, scheduling, routing, computational biology and bioinformatics. The book is intended for graduate or PhD students – either as an advanced course on selected topics or within a more general course on ILP and mathematical programming – as well as for practitioners and software engineers in industry exploring techniques for developing optimization models for their specific problems.