Operations Research: Introduction and Mathematical Modeling — Expert Treatise · Introduction

Introduction

What this guide covers

Systemic introduction, analytical foundations of mathematical modeling, linear, integer and nonlinear optimization — A rigorous treatise for complex decision making.

Overview

Topics covered

Introduction
Operations Research
Historical Origin and Evolution of Operations Research
Epistemology and Anatomy of Mathematical Modeling
The Canonical Structure of an Optimization Model
Linear Programming and Duality Theory

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

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

\begin{array}{rlc} \text{Maximize (or Minimize)} & f(x_1, x_2, \ldots, x_n) & \quad \text{[Objective Function]} \\[8pt] \text{Sujeto a:} & g_i(x_1, x_2, \ldots, x_n) \leq b_i, \quad i = 1, \ldots, m & \quad \text{[Restricciones Estructurales]} \\[4pt] & x_j \in \mathcal{X}_j, \quad j = 1, \ldots, n & \quad \text{[Condiciones of Frontera/Signo]} \end{array}

View LaTeX source

\begin{array}{rlc}
      \text{Maximize (or Minimize)} & f(x_1, x_2, \ldots, x_n) & \quad \text{[Objective Function]} \\[8pt]
      \text{Sujeto a:} & g_i(x_1, x_2, \ldots, x_n) \leq b_i, \quad i = 1, \ldots, m & \quad \text{[Restricciones Estructurales]} \\[4pt]
                       & x_j \in \mathcal{X}_j, \quad j = 1, \ldots, n & \quad \text{[Condiciones of Frontera/Signo]}
    \end{array}