Mixed-integer linear programming (MILP) is often used for system analysis and optimization as it presents a flexible and powerful method for solving large, complex problems such as the case with ...

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 Linear Programming An Integer Linear Program (ILP) is similar to a Linear Program with one critical difference: the decision variables must be integers.

To obtain a minimum backbone grid, a mixed integer linear programming (MILP) model with network connectivity constraints for a minimum backbone grid is proposed. In the model, some constraints are ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that certain ...

R. C. Daniel, Martyn Jeffreys, Unboundedness in Integer and Discrete Programming L.P. Relaxations, The Journal of the Operational Research Society, Vol. 30, No. 12 ...

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 ...

This paper deals with the online fault diagnosis problem of discrete event systems under malicious external attacks. We consider a scenario where an attacker can intercept certain sensor measurements ...