Integer linear programming model for multidimensional two-way number partitioning problem

This paper introduces a multidimensional generalization of the two-way number partitioning problem, as well as an integer linear programming formulation of the problem. There are nn binary variables and 2p2p constraints. The numerical experiments are made on a randomly generated set. In view of its integer linear programming formulation, tests are run in CPLEX. This NP-hard problem uses a set of vectors rather than a set of numbers. The presented experimental results indicate that the generalized problem is much harder than the initial problem.