Linear Programming

To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming.

Author: Howard Karloff

Publisher: Springer Science & Business Media

ISBN: 0817648437

Category: Computers

Page: 144

View: 660

To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming.... Style is informal. ...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. —Choice Reviews This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. —Zentralblatt Math

In Depth Analysis of Linear Programming

In this book, the traditional material contained in the first three chapters is expounded in much simpler terms than in the majority of books on linear programming, which makes it accessible to beginners as well as those more familiar with ...

Author: F.P. Vasilyev

Publisher: Springer Science & Business Media

ISBN: 9401597596

Category: Mathematics

Page: 312

View: 503

Along with the traditional material concerning linear programming (the simplex method, the theory of duality, the dual simplex method), In-Depth Analysis of Linear Programming contains new results of research carried out by the authors. For the first time, the criteria of stability (in the geometrical and algebraic forms) of the general linear programming problem are formulated and proved. New regularization methods based on the idea of extension of an admissible set are proposed for solving unstable (ill-posed) linear programming problems. In contrast to the well-known regularization methods, in the methods proposed in this book the initial unstable problem is replaced by a new stable auxiliary problem. This is also a linear programming problem, which can be solved by standard finite methods. In addition, the authors indicate the conditions imposed on the parameters of the auxiliary problem which guarantee its stability, and this circumstance advantageously distinguishes the regularization methods proposed in this book from the existing methods. In these existing methods, the stability of the auxiliary problem is usually only presupposed but is not explicitly investigated. In this book, the traditional material contained in the first three chapters is expounded in much simpler terms than in the majority of books on linear programming, which makes it accessible to beginners as well as those more familiar with the area.

Linear Programming

Feiring provides a well-written introduction to the techniques and applications of linear programming. He shows readers how to model, solve, and interpret appropriate linear programming problems.

Author: B. Feiring

Publisher: SAGE

ISBN: 9780803928503

Category: Mathematics

Page: 90

View: 494

Feiring provides a well-written introduction to the techniques and applications of linear programming. He shows readers how to model, solve, and interpret appropriate linear programming problems. His carefully-chosen examples provide a foundation for mathematical modelling and demonstrate the wide scope of the techniques.

Understanding and Using Linear Programming

The book is an introductory textbook mainly for students of computer science and mathematics.

Author: Jiri Matousek

Publisher: Springer Science & Business Media

ISBN: 3540307176

Category: Mathematics

Page: 226

View: 846

The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

Linear Programming Concepts for Unit Commitment

introduce significant error , then implementing the optimization with linear
programming will proceed . LINEAR PROGRAMMING DEFINITION Linear
programming is a mathematical procedure for optimizing resources . It can be
used only for ...

Author: Nancy C. Farabee

Publisher:

ISBN:

Category: Hydroelectric power plants

Page: 38

View: 702


Proceedings of the Symposium in Linear Programming

Military Applications of Linear Programming By Walter Jacobs 2 . Linear
Programming in Bid ' Evaluations By Leon Gainen 29 Linear Programming in the
face of Uncertainty : Example of a Failure By J . M . Danskin 39 4 . The Assembly
Line ...

Author: United States. Air Force. Office of Scientific Research

Publisher:

ISBN:

Category: Economics, Mathematical

Page:

View: 632


Proceedings of the Second Symposium in Linear Programming

R. M. Thrall Introduction The many successful applications of linear programming
to problems of scheduling , allocation , inventory control , and related topics have
stimulated research on effective techniques for handling linear systems .

Author: United States. National Bureau of Standards

Publisher:

ISBN:

Category:

Page:

View: 436


Linear Programming

Author: R.K. Gupta

Publisher: Krishna Prakashan Media

ISBN:

Category:

Page:

View: 886


Linear Programming

Includes one IBM/PC floppy disk. System Requirements: Monochrome monitors, IBM-compatible machines, minimum: 286 IBM, DOS 2.0 or higher. This book gives a complete, concise introduction to the theory and applications of linear programming.

Author: A. Sultan

Publisher: Elsevier

ISBN: 1483297241

Category: Computers

Page: 568

View: 493

Includes one IBM/PC floppy disk. System Requirements: Monochrome monitors, IBM-compatible machines, minimum: 286 IBM, DOS 2.0 or higher. This book gives a complete, concise introduction to the theory and applications of linear programming. It emphasizes the practical applications of mathematics, and makes the subject more accessible to individuals with varying mathematical abilities. It is one of the first rigorous linear programming texts that does not require linear algebra as a prerequisite. In addition, this text contains a floppy disk containing the program SIMPLEX, designed to help students solve problems using the computer. Key Features * Less rigorous mathematically - will appeal to individuals with varying mathematical abilities * Includes a floppy disk containing the program SIMPLEX and an appendix to help students solve problems using the computer * Includes chapters on network analysis and dynamic programming - topics of great interest to business majors and industrial engineers * Includes modem applications - selected computer programs for solving various max/min applications

Linear Programming and Network Flows

The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear ...

Author: Mokhtar S. Bazaraa

Publisher: John Wiley & Sons

ISBN: 1118211324

Category: Mathematics

Page: 768

View: 159

The authoritative guide to modeling and solving complex problemswith linear programming—extensively revised, expanded, andupdated The only book to treat both linear programming techniques andnetwork flows under one cover, Linear Programming and NetworkFlows, Fourth Edition has been completely updated with thelatest developments on the topic. This new edition continues tosuccessfully emphasize modeling concepts, the design and analysisof algorithms, and implementation strategies for problems in avariety of fields, including industrial engineering, managementscience, operations research, computer science, andmathematics. The book begins with basic results on linear algebra and convexanalysis, and a geometrically motivated study of the structure ofpolyhedral sets is provided. Subsequent chapters include coverageof cycling in the simplex method, interior point methods, andsensitivity and parametric analysis. Newly added topics in theFourth Edition include: The cycling phenomenon in linear programming and the geometry ofcycling Duality relationships with cycling Elaboration on stable factorizations and implementationstrategies Stabilized column generation and acceleration of Benders andDantzig-Wolfe decomposition methods Line search and dual ascent ideas for the out-of-kilteralgorithm Heap implementation comments, negative cost circuit insights,and additional convergence analyses for shortest path problems The authors present concepts and techniques that are illustratedby numerical examples along with insights complete with detailedmathematical analysis and justification. An emphasis is placed onproviding geometric viewpoints and economic interpretations as wellas strengthening the understanding of the fundamental ideas. Eachchapter is accompanied by Notes and Referencessections that provide historical developments in addition tocurrent and future trends. Updated exercises allow readers to testtheir comprehension of the presented material, and extensivereferences provide resources for further study. Linear Programming and Network Flows, Fourth Edition isan excellent book for linear programming and network flow coursesat the upper-undergraduate and graduate levels. It is also avaluable resource for applied scientists who would like to refreshtheir understanding of linear programming and network flowtechniques.

Linear Programming

This Third Edition introduces the latest theory and applications in optimization.

Author: Robert J Vanderbei

Publisher: Springer Science & Business Media

ISBN: 9780387743882

Category: Business & Economics

Page: 468

View: 700

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: 232

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.

Linear Programming

Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.

Author: Saul I. Gass

Publisher: Courier Corporation

ISBN: 048643284X

Category: Mathematics

Page: 532

View: 476

Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.

Linear Programing

Author:

Publisher: Krishna Prakashan Media

ISBN:

Category:

Page:

View: 403


Linear Programming and Extensions

In this classic book, George Dantzig looks at a wealth of examples and develops linear programming methods for their solutions.

Author: George Dantzig

Publisher: Princeton University Press

ISBN: 1400884179

Category: Mathematics

Page: 656

View: 928

In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. In this classic book, George Dantzig looks at a wealth of examples and develops linear programming methods for their solutions. He begins by introducing the basic theory of linear inequalities and describes the powerful simplex method used to solve them. Treatments of the price concept, the transportation problem, and matrix methods are also given, and key mathematical concepts such as the properties of convex sets and linear vector spaces are covered. George Dantzig is properly acclaimed as the "father of linear programming." Linear programming is a mathematical technique used to optimize a situation. It can be used to minimize traffic congestion or to maximize the scheduling of airline flights. He formulated its basic theoretical model and discovered its underlying computational algorithm, the "simplex method," in a pathbreaking memorandum published by the United States Air Force in early 1948. Linear Programming and Extensions provides an extraordinary account of the subsequent development of his subject, including research in mathematical theory, computation, economic analysis, and applications to industrial problems. Dantzig first achieved success as a statistics graduate student at the University of California, Berkeley. One day he arrived for a class after it had begun, and assumed the two problems on the board were assigned for homework. When he handed in the solutions, he apologized to his professor, Jerzy Neyman, for their being late but explained that he had found the problems harder than usual. About six weeks later, Neyman excitedly told Dantzig, "I've just written an introduction to one of your papers. Read it so I can send it out right away for publication." Dantzig had no idea what he was talking about. He later learned that the "homework" problems had in fact been two famous unsolved problems in statistics.

Linear Programming Mathematics Theory and Algorithms

Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming.

Author: M.J. Panik

Publisher: Springer Science & Business Media

ISBN: 1461334349

Category: Mathematics

Page: 498

View: 671

Linear Programming provides an in-depth look at simplex based as well as the more recent interior point techniques for solving linear programming problems. Starting with a review of the mathematical underpinnings of these approaches, the text provides details of the primal and dual simplex methods with the primal-dual, composite, and steepest edge simplex algorithms. This then is followed by a discussion of interior point techniques, including projective and affine potential reduction, primal and dual affine scaling, and path following algorithms. Also covered is the theory and solution of the linear complementarity problem using both the complementary pivot algorithm and interior point routines. A feature of the book is its early and extensive development and use of duality theory. Audience: The book is written for students in the areas of mathematics, economics, engineering and management science, and professionals who need a sound foundation in the important and dynamic discipline of linear programming.

Linear Programming and Resource Allocation Modeling

This book: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decision making, and health care Fills the need ...

Author: Michael J. Panik

Publisher: Wiley

ISBN: 1119509440

Category: Business & Economics

Page: 448

View: 914

Guides in the application of linear programming to firm decision making, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linear programming theory—especially where data envelopment analysis (DEA) is concerned—and provides the foundation for the development of DEA. Linear Programming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations. It then goes on to cover: the canonical and standard forms of a linear programming problem; the computational aspects of linear programming; variations of the standard simplex theme; duality theory; single- and multiple- process production functions; sensitivity analysis of the optimal solution; structural changes; and parametric programming. The primal and dual problems are then reformulated and re-examined in the context of Lagrangian saddle points, and a host of duality and complementary slackness theorems are offered. The book also covers primal and dual quadratic programs, the complementary pivot method, primal and dual linear fractional functional programs, and (matrix) game theory solutions via linear programming, and data envelopment analysis (DEA). This book: Appeals to those wishing to solve linear optimization problems in areas such as economics, business administration and management, agriculture and energy, strategic planning, public decision making, and health care Fills the need for a linear programming applications component in a management science or economics course Provides a complete treatment of linear programming as applied to activity selection and usage Contains many detailed example problems as well as textual and graphical explanations Linear Programming and Resource Allocation Modeling is an excellent resource for professionals looking to solve linear optimization problems, and advanced undergraduate to beginning graduate level management science or economics students.

Linear Programming An Introduction to Finite Improvement Algorithms

This text covers the basic theory and computation for a first course in linear programming, including substantial material on mathematical proof techniques and sophisticated computation methods.

Author: Daniel Solow

Publisher: Courier Corporation

ISBN: 0486493768

Category: Mathematics

Page: 432

View: 767

This text covers the basic theory and computation for a first course in linear programming, including substantial material on mathematical proof techniques and sophisticated computation methods. Includes Appendix on using Excel. 1984 edition.

The Theory of Games and Linear Programming

Author: S. Vajda

Publisher:

ISBN:

Category: Game theory

Page: 106

View: 762


Linear Programming and Economic Analysis

Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more.

Author: Robert Dorfman

Publisher: Courier Corporation

ISBN: 0486142116

Category: Mathematics

Page: 525

View: 664

Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more.