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 ...

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.

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.

Additionally, efforts have been made to extend the feasibility pump framework to general mixed integer variables, demonstrating its versatility beyond purely binary problems [4].

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 ...

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