Methods And Models In Mathematical Programming

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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.

Modelling in Mathematical Programming

Author : José Manuel García Sánchez
Publisher : Springer Nature
ISBN 13 : 3030572501
Total Pages : 291 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Modelling in Mathematical Programming by : José Manuel García Sánchez

Download or read book Modelling in Mathematical Programming written by José Manuel García Sánchez and published by Springer Nature. This book was released on 2020-10-31 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides basic tools for learning how to model in mathematical programming, from models without much complexity to complex system models. It presents a unique methodology for the building of an integral mathematical model, as well as new techniques that help build under own criteria. It allows readers to structure models from the elements and variables to the constraints, a basic modelling guide for any system with a new scheme of variables, a classification of constraints and also a set of rules to model specifications stated as logical propositions, helping to better understand models already existing in the literature. It also presents the modelling of all possible objectives that may arise in optimization problems regarding the variables values. The book is structured to guide the reader in an orderly manner, learning of the components that the methodology establishes in an optimization problem. The system includes the elements, which are all the actors that participate in the system, decision activities that occur in the system, calculations based on the decision activities, specifications such as regulations, impositions or actions of defined value and objective criterion, which guides the resolution of the system.

Building and Solving Mathematical Programming Models in Engineering and Science

Author : Enrique Castillo
Publisher : John Wiley & Sons
ISBN 13 : 0471461652
Total Pages : 568 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Building and Solving Mathematical Programming Models in Engineering and Science by : Enrique Castillo

Download or read book Building and Solving Mathematical Programming Models in Engineering and Science written by Enrique Castillo and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental concepts of mathematical modeling Modeling is one of the most effective, commonly used tools in engineering and the applied sciences. In this book, the authors deal with mathematical programming models both linear and nonlinear and across a wide range of practical applications. Whereas other books concentrate on standard methods of analysis, the authors focus on the power of modeling methods for solving practical problems-clearly showing the connection between physical and mathematical realities-while also describing and exploring the main concepts and tools at work. This highly computational coverage includes: * Discussion and implementation of the GAMS programming system * Unique coverage of compatibility * Illustrative examples that showcase the connection between model and reality * Practical problems covering a wide range of scientific disciplines, as well as hundreds of examples and end-of-chapter exercises * Real-world applications to probability and statistics, electrical engineering, transportation systems, and more Building and Solving Mathematical Programming Models in Engineering and Science is practically suited for use as a professional reference for mathematicians, engineers, and applied or industrial scientists, while also tutorial and illustrative enough for advanced students in mathematics or engineering.

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.

Model Building in Mathematical Programming

Author : H. P. Williams
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (318 download)

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

Download or read book Model Building in Mathematical Programming written by H. P. Williams and published by John Wiley & Sons. This book was released on 1985 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extensively revised and updated edition discusses the general principles of model building in mathematical programming and shows how they can be applied by using twenty simplified, but practical problems from widely different contexts. Suggested formulations and solutions are given in the latter part of the book, together with some computational experience to give the reader some feel for the computational difficulty of solving that particular type of model.

Decomposition Techniques in Mathematical Programming

Author : Antonio J. Conejo
Publisher : Springer Science & Business Media
ISBN 13 : 3540276866
Total Pages : 542 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Decomposition Techniques in Mathematical Programming by : Antonio J. Conejo

Download or read book Decomposition Techniques in Mathematical Programming written by Antonio J. Conejo and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization plainly dominates the design, planning, operation, and c- trol of engineering systems. This is a book on optimization that considers particular cases of optimization problems, those with a decomposable str- ture that can be advantageously exploited. Those decomposable optimization problems are ubiquitous in engineering and science applications. The book considers problems with both complicating constraints and complicating va- ables, and analyzes linear and nonlinear problems, with and without in- ger variables. The decomposition techniques analyzed include Dantzig-Wolfe, Benders, Lagrangian relaxation, Augmented Lagrangian decomposition, and others. Heuristic techniques are also considered. Additionally, a comprehensive sensitivity analysis for characterizing the solution of optimization problems is carried out. This material is particularly novel and of high practical interest. This book is built based on many clarifying, illustrative, and compu- tional examples, which facilitate the learning procedure. For the sake of cl- ity, theoretical concepts and computational algorithms are assembled based on these examples. The results are simplicity, clarity, and easy-learning. We feel that this book is needed by the engineering community that has to tackle complex optimization problems, particularly by practitioners and researchersinEngineering,OperationsResearch,andAppliedEconomics.The descriptions of most decomposition techniques are available only in complex and specialized mathematical journals, di?cult to understand by engineers. A book describing a wide range of decomposition techniques, emphasizing problem-solving, and appropriately blending theory and application, was not previously available.

Mathematical Programming

Author : S. M. Sinha
Publisher : Elsevier
ISBN 13 : 9780080535937
Total Pages : 572 pages
Book Rating : 4.5/5 (359 download)

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Book Synopsis Mathematical Programming by : S. M. Sinha

Download or read book Mathematical Programming written by S. M. Sinha and published by Elsevier. This book was released on 2005-01-01 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Programming, a branch of Operations Research, is perhaps the most efficient technique in making optimal decisions. It has a very wide application in the analysis of management problems, in business and industry, in economic studies, in military problems and in many other fields of our present day activities. In this keen competetive world, the problems are getting more and more complicated ahnd efforts are being made to deal with these challenging problems. This book presents from the origin to the recent developments in mathematical programming. The book has wide coverage and is self-contained. It is suitable both as a text and as a reference. * A wide ranging all encompasing overview of mathematical programming from its origins to recent developments * A result of over thirty years of teaching experience in this feild * A self-contained guide suitable both as a text and as a reference

Mathematical Modeling and Optimization

Author : Tony Hürlimann
Publisher : Springer Science & Business Media
ISBN 13 : 147575793X
Total Pages : 323 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Modeling and Optimization by : Tony Hürlimann

Download or read book Mathematical Modeling and Optimization written by Tony Hürlimann and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer-based mathematical modeling - the technique of representing and managing models in machine-readable form - is still in its infancy despite the many powerful mathematical software packages already available which can solve astonishingly complex and large models. On the one hand, using mathematical and logical notation, we can formulate models which cannot be solved by any computer in reasonable time - or which cannot even be solved by any method. On the other hand, we can solve certain classes of much larger models than we can practically handle and manipulate without heavy programming. This is especially true in operations research where it is common to solve models with many thousands of variables. Even today, there are no general modeling tools that accompany the whole modeling process from start to finish, that is to say, from model creation to report writing. This book proposes a framework for computer-based modeling. More precisely, it puts forward a modeling language as a kernel representation for mathematical models. It presents a general specification for modeling tools. The book does not expose any solution methods or algorithms which may be useful in solving models, neither is it a treatise on how to build them. No help is intended here for the modeler by giving practical modeling exercises, although several models will be presented in order to illustrate the framework. Nevertheless, a short introduction to the modeling process is given in order to expound the necessary background for the proposed modeling framework.

AMPL

Author : Robert Fourer
Publisher : Cengage Learning
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis AMPL by : Robert Fourer

Download or read book AMPL written by Robert Fourer and published by Cengage Learning. This book was released on 1993 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods and Models for Economists

Author : Angel de la Fuente
Publisher : Cambridge University Press
ISBN 13 : 9780521585293
Total Pages : 630 pages
Book Rating : 4.5/5 (852 download)

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Book Synopsis Mathematical Methods and Models for Economists by : Angel de la Fuente

Download or read book Mathematical Methods and Models for Economists written by Angel de la Fuente and published by Cambridge University Press. This book was released on 2000-01-28 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.

Mathematical Programming for Industrial Engineers

Author : Mordecai Avriel
Publisher : CRC Press
ISBN 13 : 9780824796204
Total Pages : 662 pages
Book Rating : 4.7/5 (962 download)

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Book Synopsis Mathematical Programming for Industrial Engineers by : Mordecai Avriel

Download or read book Mathematical Programming for Industrial Engineers written by Mordecai Avriel and published by CRC Press. This book was released on 1996-05-16 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: Setting out to bridge the gap between the theory of mathematical programming and the varied, real-world practices of industrial engineers, this work introduces developments in linear, integer, multiobjective, stochastic, network and dynamic programing. It details many relevant industrial-engineering applications.;College or university bookstores may order five or more copies at a special student price, available upon request from Marcel Dekker, Inc.

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

Economic Foundations of Symmetric Programming

Author : Quirino Paris
Publisher : Cambridge University Press
ISBN 13 : 1139492292
Total Pages : 569 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Economic Foundations of Symmetric Programming by : Quirino Paris

Download or read book Economic Foundations of Symmetric Programming written by Quirino Paris and published by Cambridge University Press. This book was released on 2010-11-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for symmetry is part of the fundamental scientific paradigm in mathematics and physics. Can this be valid also for economics? This book represents an attempt to explore this possibility. The behavior of price-taking producers, monopolists, monopsonists, sectoral market equilibria, behavior under risk and uncertainty, and two-person zero- and non-zero-sum games are analyzed and discussed under the unifying structure called the linear complementarity problem. Furthermore, the equilibrium problem allows for the relaxation of often-stated but unnecessary assumptions. This unifying approach offers the advantage of a better understanding of the structure of economic models. It also introduces the simplest and most elegant algorithm for solving a wide class of problems.

Student's Guide to Operations Research

Author : Paul A. Jensen
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Student's Guide to Operations Research by : Paul A. Jensen

Download or read book Student's Guide to Operations Research written by Paul A. Jensen and published by . This book was released on 1986 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mathematical Programming

Author : Stephen P. Bradley
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Applied Mathematical Programming by : Stephen P. Bradley

Download or read book Applied Mathematical Programming written by Stephen P. Bradley and published by Addison Wesley Publishing Company. This book was released on 1977 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical programming: an overview; solving linear programs; sensitivity analysis; duality in linear programming; mathematical programming in practice; integration of strategic and tactical planning in the aluminum industry; planning the mission and composition of the U.S. merchant Marine fleet; network models; integer programming; design of a naval tender job shop; dynamic programming; large-scale systems; nonlinear programming; a system for bank portfolio planning; vectors and matrices; linear programming in matrix form; a labeling algorithm for the maximun-flow network problem.

Nonlinear Optimization

Author : William P. Fox
Publisher : CRC Press
ISBN 13 : 1000196925
Total Pages : 417 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Nonlinear Optimization by : William P. Fox

Download or read book Nonlinear Optimization written by William P. Fox and published by CRC Press. This book was released on 2020-12-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is the act of obtaining the "best" result under given circumstances. In design, construction, and maintenance of any engineering system, engineers must make technological and managerial decisions to minimize either the effort or cost required or to maximize benefits. There is no single method available for solving all optimization problems efficiently. Several optimization methods have been developed for different types of problems. The optimum-seeking methods are mathematical programming techniques (specifically, nonlinear programming techniques). Nonlinear Optimization: Models and Applications presents the concepts in several ways to foster understanding. Geometric interpretation: is used to re-enforce the concepts and to foster understanding of the mathematical procedures. The student sees that many problems can be analyzed, and approximate solutions found before analytical solutions techniques are applied. Numerical approximations: early on, the student is exposed to numerical techniques. These numerical procedures are algorithmic and iterative. Worksheets are provided in Excel, MATLAB®, and MapleTM to facilitate the procedure. Algorithms: all algorithms are provided with a step-by-step format. Examples follow the summary to illustrate its use and application. Nonlinear Optimization: Models and Applications: Emphasizes process and interpretation throughout Presents a general classification of optimization problems Addresses situations that lead to models illustrating many types of optimization problems Emphasizes model formulations Addresses a special class of problems that can be solved using only elementary calculus Emphasizes model solution and model sensitivity analysis About the author: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. He received his Ph.D. at Clemson University and has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics. He has written many publications, including over 20 books and over 150 journal articles. Currently, he is an adjunct professor in the Department of Mathematics at the College of William and Mary. He is the emeritus director of both the High School Mathematical Contest in Modeling and the Mathematical Contest in Modeling.

The Nature of Mathematical Modeling

Author : Neil A. Gershenfeld
Publisher : Cambridge University Press
ISBN 13 : 9780521570954
Total Pages : 268 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis The Nature of Mathematical Modeling by : Neil A. Gershenfeld

Download or read book The Nature of Mathematical Modeling written by Neil A. Gershenfeld and published by Cambridge University Press. This book was released on 1999 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.