In a scientific conference, the program chair (PC) is in charge of scheduling the different talks. Scheduling a talk means assigning a room and a time slot to it. The PC is particularly concerned ...

In this section, I give a general overview of what a genetic algorithm is. Readers that are familiar with this concept can skip to the next section. A genetic algorithm is an optimization tool ...

Write down the Linear Program (LP) relaxation of an IP Plot the graphical representation of an IP and find the optimal solution Understand the relationship between optimal solution of an IP and the ...

Many important practical computations, such as scheduling, combinatorial, and optimization problems, use techniques known as integer programming to find the best combination of many variables. In ...

The model presented in this section is a Linear Integer Program (LIP), which combines integer variables with binary variables. The objective function and all constraints are linear.

Abstract: This paper considers a Multi-Agent Motion Planning (MAMP) problem that seeks collision-free paths for multiple agents from their respective start to goal locations among static obstacles, ...

ABSTRACT: We propose a computational procedure to find the efficient frontier for the standard Markowitz mean-variance model with discrete variables. The integer constraints limit on the one hand the ...