Introduction to Linear Programming

Introduction to Linear Programming - Leonid N. Vaserstein - 9780130359179 - Mathematics Statistics - Advanced Mathematics (121)
Series
Addison-Wesley
Author
Leonid N. Vaserstein  
Publisher
Pearson
Cover
Softcover
Edition
1
Language
English
Total pages
321
Pub.-date
November 2002
ISBN13
9780130359179
ISBN
0130359173
Related Titles



Description

For a one-semester course in Linear Programming for upper-level students with varying mathematical backgrounds.

Written to include three different mathematical levels, this text strikes the necessary balance for a class consisting of students with varying mathematical backgrounds. It covers the basics of Linear Programs and also includes an appendix that develops many advanced topics in mathematical programming for students who plan to go on to graduate-level study in this field. Many exercises of varying difficulty provide introductory students the opportunity to progress through the material at a steady pace, while advanced students can proceed to the more challenging material.

Features

  • Emphasis on logic and modeling of applications.
    • Enables non-mathematics majors to learn to use linear programming in their respective fields (business, economics, operations research, etc.).

  • Inclusion of, but not reliance on, rigorous development of mathematics.
    • Allows mathematics majors to learn the theory required for advanced study.

  • Exercises varying in difficulty.
    • Provides challenging material to a wide range of students, each at his or her own level.

  • Appendix introducing wide variety of related advanced material.
    • Provides an 'appetizer' for mathematics students, introducing them to advanced topics and reference of known methods for applied students

  • Systematic methodology for modeling word problems.
    • Demonstrates for students how to develop modeling as a skill rather than relying on their intuition to tackle problems.

  • Use of computer software to solve linear programs.
    • Shows students how to prepare linear programs for solving by various computer packages and refers to websites where software or on-line solving is available.

Table of Contents



Preface.


1. Introduction.


2. Background.


3. Tableaux and Pivoting.


4. Simplex Method.


5. Duality.


6. Transportation Problems.


7. Matrix Games.


8. Linear Approximation.


 Appendices.


Instructor Resources