Operations Research: Duality and Sensitivity Analysis · Introduction

Introduction

What this guide covers

Introduction Operations Research

Overview

Topics covered

Introduction
Duality and Sensitivity Analysis: Mathematical Theory and Mathematical Praxis
Structure of the Simplex and Construction of the Dual Problem
Matrix Representation of Linear Programming
The Primal-Dual Correspondence
Fundamental Theorems of Duality

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

\begin{aligned} \text{(Primal) } \quad \min_{x} \quad & z = c^T x \\ \text{subject to} \quad & A x = b \\ & x \ge 0 \end{aligned}

View LaTeX source

\begin{aligned}
          \text{(Primal) } \quad \min_{x} \quad & z = c^T x \\
          \text{subject to} \quad & A x = b \\
          & x \ge 0
          \end{aligned}