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 ...

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 ...

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.

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.

This problem consist of placing a set of VMs on a set of servers, with the goal of minimizing the number of servers used. This is a NP-hard problem, and can be formulated as a Linear Programming ...

Binary Integer Programming (BIP): An optimisation framework where variables are restricted to binary values, commonly used to model placement problems.