Linear Optimization The Simplex Workbook /

• Main Author: Hurlbert, Glenn. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Algorithms.; Combinatorics.; Mathematical optimization.; Operations research.; Operations Research, Mathematical Programming.; Optimization.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-79148-7

This undergraduate textbook is written for a junior/senior level course on linear optimization. Unlike other texts, the treatment allows the use of the "modified Moore method" approach by working examples and proof opportunities into the text in order to encourage students to develop some...

Table of Contents:

• Introduction
• The Simplex Algorithm
• Geometry
• The Duality Theorem
• Matrix Implementation
• General Form
• Unsolvable Systems
• Geometry Revisited
• Game Theory
• Network Implementation
• Combinatorics
• Economics
• Integer Optimization
• Appendix A: Linear Algebra Overview
• Appendix B: The Equivalence of the Auxiliary and Shortcut Methods
• Appendix C: Complexity
• Appendix D: LOP Catalog.