Chapter 2: Basic Properties of Linear Programs

Understanding the fundamental concepts and properties of linear programming problems.

Key Concepts
Understanding linear programming fundamentals

Linear Programs

Optimization problems with linear objective functions and linear constraints.

Standard Form

The canonical representation of linear programs with equality constraints and nonnegative variables.

Problem Transformation

Techniques to convert various linear programming forms into standard form.

Learning Objectives
What you'll learn in this chapter

Problem Formulation

Learn to express optimization problems in linear programming form.

Standard Form

Understand and convert problems to standard form using various techniques.

Problem Transformation

Master techniques for handling inequalities, free variables, and special cases.

Chapter Overview

2.1 Introduction
Basic concepts and standard form

Learn about the fundamental concepts of linear programming, including the standard form and various problem transformations.