Linear Programming and Extensions

Copyright © Libri GmbH. All rights reserved. "The author of this book was the main force in establishing a new mathematical discipline, and he has contributed to its further development at every stage and from every angle.

Author: George Bernard Dantzig

Publisher: Princeton University Press

ISBN: 9780691059136

Category: Mathematics

Page: 627

View: 368

In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. First published in 1963, this classic work looks at a wealth of examples and develops linear programming methods for solutions. Treatments covered include price concepts, transportation problems, matrix methods, and the properties of convex sets and linear vector spaces.

Linear Programming and Extensions

Heroux , R . L . , and W . A . Wallace : " Linear Programming and Financial
Analysis of the New Community Development Process , ” Management Science
19 : 857 - 872 ( April 1973 ) . Hirshleifer , J . : “ On the Theory of Optimal
Investment ...

Author: Nesa L'abbe Wu

Publisher: McGraw-Hill College

ISBN:

Category: Business & Economics

Page: 475

View: 495


Goal Programming and Extensions

Author: James P. Ignizio

Publisher:

ISBN:

Category: Linear programming

Page: 261

View: 770


Introduction to Linear Programming

Stressing the use of several software packages based on simplex method variations, this text teaches linear programming's four phases through actual practice.

Author: Richard Darst

Publisher: CRC Press

ISBN: 100014769X

Category: Mathematics

Page: 376

View: 665

Stressing the use of several software packages based on simplex method variations, this text teaches linear programming's four phases through actual practice. It shows how to decide whether LP models should be applied, set up appropriate models, use software to solve them, and examine solutions to a

Linear Optimization and Extensions

Clearly, like in modern warfare, such a massive effort requires a great deal of
logistics planning on the part of the military and here is a very simplified linear
programming model that was published in the journal Econometrica as early as
1949 ...

Author: M. W. Padberg

Publisher: Springer Science & Business Media

ISBN: 9783540658337

Category: Business & Economics

Page: 501

View: 716

This book offers a comprehensive treatment of linear programming as well as of the optimization of linear functions over polyhedra in finite dimensional Euclidean vector spaces. An introduction surveying fifty years of linear optimization is given. The book can serve both as a graduate textbook for linear programming and as a text for advanced topics classes or seminars. Exercises as well as several case studies are included. The book is based on the author's long term experience in teaching and research. For his research work he has received, among other honors, the 1983 Lanchester Prize of the Operations Research Society of America, the 1985 Dantzig Prize of the Mathematical Programming Society and the Society for Industrial Applied Mathematics and a 1989 Alexander-von-Humboldt Senior U.S. Scientist Research Award.

Introduction to Linear Optimization and Extensions with MATLAB

Linear. Optimization. under. Uncertainty. 8.1. Introduction. A fundamental
assumption in linear programming is that the coefficients are assumed to be
known. In other words, all of the linear programs up to now have been
deterministic ...

Author: Roy H. Kwon

Publisher: CRC Press

ISBN: 1482204347

Category: Business & Economics

Page: 362

View: 999

Filling the need for an introductory book on linear programming that discusses the important ways to mitigate parameter uncertainty, Introduction to Linear Optimization and Extensions with MATLAB provides a concrete and intuitive yet rigorous introduction to modern linear optimization. In addition to fundamental topics, the book discusses current l

Selected Rand Abstracts

Author: Rand Corporation

Publisher:

ISBN:

Category: Abstracts

Page:

View: 171

Includes publications previously listed in the supplements to the Index of selected publications of the Rand Corportation (Oct. 1962-Feb. 1963)

Linear Optimization and Extensions

Major flows of steam, water, fuel, condensates and electricity that they are, linear
programming is an adequate way to formulate the problem and thus, to solve the
daily steam balance. The objective function is the minimization of the operating ...

Author: Dimitris Alevras

Publisher: Springer Science & Business Media

ISBN: 9783540417446

Category: Business & Economics

Page: 449

View: 504

This book offers a comprehensive treatment of the exercises and case studies as well as summaries of the chapters of the book "Linear Optimization and Extensions" by Manfred Padberg. It covers the areas of linear programming and the optimization of linear functions over polyhedra in finite dimensional Euclidean vector spaces. Here are the main topics treated in the book: Simplex algorithms and their derivatives including the duality theory of linear programming. Polyhedral theory, pointwise and linear descriptions of polyhedra, double description algorithms, Gaussian elimination with and without division, the complexity of simplex steps. Projective algorithms, the geometry of projective algorithms, Newtonian barrier methods. Ellipsoids algorithms in perfect and in finite precision arithmetic, the equivalence of linear optimization and polyhedral separation. The foundations of mixed-integer programming and combinatorial optimization.

Index of Selected Publications

Author: Rand Corporation

Publisher:

ISBN:

Category: Technology

Page:

View: 587


Linear Programming

60 L . Cooper and D . Steinberg , Introduction to Methods of Optimization ,
Saunders , Philadelphia , 1970 . 1 . 61 G . B . Dantzig , Linear Programming and
Extensions , Princeton University Press , Princeton , N . J . , 1963 . G . B . Dantzig
, M . A ...

Author: Katta G. Murty

Publisher: John Wiley & Sons Incorporated

ISBN:

Category: Technology & Engineering

Page: 482

View: 104

Formulation of linear programming; the simplex method; geometry of the simplex method; duality in linear programming; revised (primal) simplex method; the dual simplex method; numerically stable forms of the simplex method; parametric linear programs; sensitivity analysis; degeneracy in linear programming; bounded-variable linear programs; the decomposition principle of linear programming; the transportation problem; computational complexity of the simplex algorithm; the ellipsoid method; iterative methods for linear inequalities and linear programs; vector minima.

Integer Programming

An extension of the Gomory mixed - integer algorithm to mixed - discrete
variables . Management Sci . 12 , 569 - 575 . Dantzig , G . B . ( 1955 ) . Upper
bound , secondary constraints , and block triangularity in linear programming .

Author: Hamdy A. Taha

Publisher:

ISBN:

Category: Mathematics

Page: 380

View: 753


Linear Programming Extensions to the Woodstock Forest Modeling System

Author: Canada-British Columbia Partnership Agreement on Forest Resource Development: FRDA II.

Publisher:

ISBN:

Category: Forest management

Page: 39

View: 884


Linear Programming

Foundations and Extensions Robert J Vanderbei ... The most significant new
material is contained in a new chapter on financial applications, which discusses
a linear programming variant of the portfolio selection problem and option pricing
.

Author: Robert J Vanderbei

Publisher: Springer Science & Business Media

ISBN: 9780387743882

Category: Business & Economics

Page: 468

View: 296

This Third Edition introduces the latest theory and applications in optimization. It emphasizes constrained optimization, beginning with linear programming and then proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. You’ll discover a host of practical business applications as well as non-business applications. With its focus on solving practical problems, the book features free C programs to implement the major algorithms covered. The book’s accompanying website includes the C programs, JAVA tools, and new online instructional tools and exercises.

Linear Programming and its Applications

In the pages of this text readers will find nothing less than a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications.

Author: H.A. Eiselt

Publisher: Springer Science & Business Media

ISBN: 3540736719

Category: Business & Economics

Page: 380

View: 128

In the pages of this text readers will find nothing less than a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications. The most important classes of problems are surveyed and presented by means of mathematical formulations, followed by solution methods and a discussion of a variety of "what-if" scenarios. Non-simplex based solution methods and newer developments such as interior point methods are covered.

Extensions of the Critical Path Method Through the Application of Integer Programming

No examination of the GE 225 program ( Reference 10 ) was made . However ,
again the only bibliography item listed is Reference 1 . Comparison of the Integer
Programming extension of CPM to the approximations applied in practice today ...

Author: W. L. Meyer

Publisher:

ISBN:

Category: Critical path analysis

Page: 184

View: 428


University of California Union Catalog of Monographs Cataloged by the Nine Campuses from 1963 Through 1967 Subjects

Author: University of California (System). Institute of Library Research

Publisher:

ISBN:

Category: Catalogs, Union

Page:

View: 144


Applied Mathematics in the Undergraduate Curriculum

Mathematical Association of America. Committee on the Undergraduate Program
in Mathematics. Primary References [ D ] Dantzig , George B . Linear
Programming and Extensions . Princeton , New Jersey , Princeton University
Press , 1963 ...

Author: Mathematical Association of America. Committee on the Undergraduate Program in Mathematics

Publisher:

ISBN:

Category: Mathematical physics

Page: 54

View: 599


Introduction to Management Science

goal Goal programming is generally applied to linear problems and is a variation
programming of linear programming . Goal programming ... Goal programming
was originally developed as a linear programming extension . It has since been ...

Author: Thomas M. Cook

Publisher: Prentice Hall

ISBN:

Category: Management

Page: 787

View: 446


Fundamentals of Management Science

CHAPTER 6 Integer Programming and Extensions 6.1 Integer programming —
an overview . 6.2 Solving the Southern General Hospital problem . 6.3 Types of
integer programming models . 6.4 Methods of solution . MSIP : Minimizing Family
 ...

Author: Efraim Turban

Publisher: McGraw-Hill College

ISBN:

Category: Management

Page: 914

View: 638


Applied Integer Programming

Danna, E. (2004), “Integrating Local Search Techniques into Mixed Integer
Programming”, 40R, Vol. 2, pp. 321–324. Dantzig, G. (1963), Linear
Programming and Extensions, Princeton University Press, Princeton, NJ. Dantzig,
G., D. Fulkerson, ...

Author: Der-San Chen

Publisher: John Wiley & Sons

ISBN: 1118210026

Category: Mathematics

Page: 468

View: 963

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.