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 ...

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.

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

Abstract: Group scheduling problems have attracted much attention owing to their many practical applications. This work proposes a new bi-objective serial-batch group scheduling problem considering ...

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 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 ...

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 ...

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 ...