This paper presents a novel algorithm for path planning of point robots in 2D known environment, using binary integer programming. In this approach the problem of path planning is formulated as a ...

Learn how to formulate and solve linear programming problems with integer or binary variables using branch and bound and cutting planes methods.

This code can be used to compute distributions over the optimal solutions of an integer programming formulation when each of the agents involved can be represented by a single variable (which can be ...

Learn how to solve optimization problems with discrete variables using integer programming. This article covers the basics, modeling, solving, resources, and tips for integer programming.

We show that the linear relaxation of the new formulation is tighter than that of the standard mixed integer programming formulation. We describe different classes of valid inequalities for the new ...

Incorporating waiting and service times at the facilities while determining their locations and capacities simultaneously results in a nonlinear mixed-integer programming formulation that can be ...