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

This paper develops an algorithm for pure integer programming problems. It first transforms the integer programming problem to an algebraically equivalent Hermite canonical problem, and then employs ...

Linear Programming Modeling Integer and Combinatorial Models Real-World Operations Research Applications: An Introduction Introduction to Algorithm Improving Search Algorithms and Convexity ...

Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design and ...

In this note we use the concept of intersection cut, introduced by Balas for integer programming problems, to develop a cutting-plane algorithm for solving integer interval linear programming problems ...

Linear Relaxation: The process of removing the integer constraints from an integer programming problem to solve an easier continuous problem that provides bounds for the original.

OR406.2 Mathematical Programming: Introduction to theory and the solution of linear and nonlinear programming problems: simplex and interior point algorithms, integer linear programming (ILP) methods ...

OR406.1 Foundations of Mathematical Programming: An introduction to the mathematical foundations of mathematical programming OR406.2 Mathematical Programming: Introduction to theory and the solution ...