Algorithms And Model Formulations In Mathematical Programming

Author : Stein W. Wallace
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642837241

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Algorithms and Model Formulations in Mathematical Programming by Stein W. Wallace Pdf

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.

Author : Stein W. Wallace
Publisher : Unknown
Page : 191 pages
File Size : 42,7 Mb
Release : 1987
Category : Electronic
ISBN : OCLC:1124003881

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Algorithms and Model Formulations in Mathematical Programming by Stein W. Wallace Pdf

Author : Der-San Chen,Robert G. Batson,Yu Dang
Publisher : John Wiley & Sons
Page : 489 pages
File Size : 51,6 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.

Author : Robert Fourer,David M. Gay,Brian W. Kernighan
Publisher : Cengage Learning
Page : 206 pages
File Size : 52,5 Mb
Release : 1993
Category : Business & Economics
ISBN : CORNELL:31924067490122

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AMPL by Robert Fourer,David M. Gay,Brian W. Kernighan Pdf

AMPL, developed at AT&Ts Bell Laboratories, is a powerful, yet easy-to-use modeling environment for problems in linear, nonlinear, network, and integer programming. Users can formulate optimization models and analyze solutions using common algebraic notation; the computer manages the interface to advanced optimizers. In less advanced programming software, students must write out every variable and constraint explicitly. AMPLs powerful display commands encourage creative responses to modeling assignments..The AMPL Student Edition is a full-featured version of the AMPL and optimizer software that accepts problems up to 300 variables and 300 constraints. AMPLs modeling approach can handle real-world problems. AMPL student models easily scale up to optimization problems of realistic size. AMPL Student Edition comes with both the MINOS and CPLEX solvers. Beginners need only type solve to invoke an optimizer, but advanced students have full access to algorithmic options because the AMPL Student Edition works just like the professional editions that run on computers from PCs to Crays. Classroom skills transfer directly to the job environment.

Author : H. Paul Williams
Publisher : John Wiley & Sons
Page : 432 pages
File Size : 55,9 Mb
Release : 2013-01-18
Category : Business & Economics
ISBN : 9781118506189

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Model Building in Mathematical Programming by H. Paul Williams Pdf

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

Author : S. A. MirHassani,F. Hooshmand
Publisher : Springer Nature
Page : 389 pages
File Size : 51,7 Mb
Release : 2019-12-09
Category : Mathematics
ISBN : 9783030270452

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Methods and Models in Mathematical Programming by S. A. MirHassani,F. Hooshmand Pdf

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.

Author : H. Paul Williams
Publisher : Milton, Australia : Jacaranda Press ; Oxford : B. Blackwell ; Toronto : J. Wiley
Page : 376 pages
File Size : 42,7 Mb
Release : 1999-10-25
Category : Business & Economics
ISBN : UOM:39015047536720

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Model Building in Mathematical Programming by H. Paul Williams Pdf

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.

Author : Josef Kallrath
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 49,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302155

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Modeling Languages in Mathematical Optimization by Josef Kallrath Pdf

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.

Author : R.G. Jeroslow
Publisher : Elsevier
Page : 221 pages
File Size : 46,8 Mb
Release : 1989-02-01
Category : Mathematics
ISBN : 0080867804

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Logic-Based Decision Support by R.G. Jeroslow Pdf

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.

Author : H. P. Williams
Publisher : Unknown
Page : 384 pages
File Size : 41,9 Mb
Release : 1993-04-13
Category : Business & Economics
ISBN : STANFORD:36105004055633

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Model Solving in Mathematical Programming by H. P. Williams Pdf

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.

Author : Jeremy F. Shapiro
Publisher : John Wiley & Sons
Page : 410 pages
File Size : 42,5 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015049377412

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Mathematical Programming by Jeremy F. Shapiro Pdf

Linear programming; Linear programming duality and sensitivity analysis; Network optimization problems; Shortest route and discrete dynamic programming problems; Mathematical programming duality theory and its relationship to convexity; Nondifferentiable optimization and large-scale linear programming; Nonlinear programming; Integer programming and combinatorial optimization.

Author : Nikolaos Ploskas,Nikolaos Samaras
Publisher : Springer
Page : 646 pages
File Size : 49,6 Mb
Release : 2017-10-28
Category : Mathematics
ISBN : 9783319659190

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Linear Programming Using MATLAB® by Nikolaos Ploskas,Nikolaos Samaras Pdf

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.

Author : Ulrich Faigle,W. Kern,G. Still
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 44,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401598965

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Algorithmic Principles of Mathematical Programming by Ulrich Faigle,W. Kern,G. Still Pdf

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.

Author : J. Caldwell,Douglas K.S. Ng
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 40,8 Mb
Release : 2006-04-10
Category : Mathematics
ISBN : 9781402019937

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Mathematical Modelling by J. Caldwell,Douglas K.S. Ng Pdf

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.

Author : Michael Jünger,Denis Naddef
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 44,8 Mb
Release : 2001-11-21
Category : Mathematics
ISBN : 9783540428770

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Computational Combinatorial Optimization by Michael Jünger,Denis Naddef Pdf

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.