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 ...

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 ...

2.2 Mixed-integer program formulation Before we formulate the ALP as an MILP and explain the choice of constraints, let us first introduce two sets of binary (decision) variables needed for our model.

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

The editrules extension package for the R environment forstatistical computing was recently extended with a module that allows for error localizationbased on a mixed integer programming formulation ...

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

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 ...