Operations research — Network, transportation, and assignment models · Introduction

Introduction

What this guide covers

Introduction Introduction Mathematical Optimization Models

Overview

Topics covered

Introduction
Network, Transport and Allocation Optimization
Introduction and Context of Network Optimization
Fundamentals of Graph Theory
Notation, Matrix Structure and Mathematical Modeling
The Node-Arc Incidence Matrix

Related concepts

Main connections

Compatible notation

Mathematical sample in LaTeX

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

a_{k, e} = \begin{cases} 1, & \text{If the arch} e \text{ sale of the nodo } k \text{(the node} k \text{It is the origin} i) \\ -1, & \text{If the arch} e \text{ entra at nodo } k \text{(the node} k \text{It's destiny} j) \\ 0, & \text{In another case} \end{cases}

View LaTeX source

a_{k, e} = \begin{cases} 
      1, & \text{If the arch} e \text{ sale of the nodo } k \text{(the node} k \text{It is the origin} i) \\ 
      -1, & \text{If the arch} e \text{ entra at nodo } k \text{(the node} k \text{It's destiny} j) \\ 
      0, & \text{In another case} 
    \end{cases}