Linear Programming 2: Theory and Extensions /

• Main Authors: Dantzig, George B. (Author), Thapa, Mukund N. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2003.
• Series: Springer Series in Operations Research and Financial Engineering,
• Subjects: Mathematics.; Operations research.; Decision making.; Mathematical optimization.; Industrial engineering.; Production engineering.; Optimization.; Industrial and Production Engineering.; Operation Research/Decision Theory.

Linear programming represents one of the major applications of mathematics to business, industry, and economics. It provides a methodology for optimizing an output given that is a linear function of a number of inputs. George Dantzig is widely regarded as the founder of the subject with his inventio...

Table of Contents:

• Geometry of Linear Inequality Systems & the Simplex Method
• Duality and Theorems of the Alternatives
• Early Interior-Point Methods
• Interior-Point Methods
• Degeneracy
• Variants of the Simplex Method
• Transportation Problem and Variations
• Network Flow Thegrams
• Generalized Upper Bounds
• Decomposition of Large-Scale Systems
• Stochastic Programming: Introduction
• Two-Stage Stochastic Programs.