Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

Introduction to Integer Programming Solving Integer Programs: Exact Methods Solving Integer Programs: Modern Heuristic Techniques Appendix A: Background Review A.1 Basic Notation. A.2 Graph Theory.

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear Programming: regression, classification and other engineering applications. Integer Linear Programming: Basics, ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it.

Learning Objectives Students will be able to develop good models for optimization problems that involve discrete variables and combinatorial constraints. They will learn the foundations of integer and ...