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 ...

A community detection algorithm based on optimizing the Sieve objective function using IBM ILOG CPLEX to solve an Integer Linear Program.

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: Describes a method for finding optimal trajectories for multiple aircraft avoiding collisions. Developments in spacecraft path-planning have shown that trajectory optimization including ...

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 ...

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, ...

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 ...