Mathematical Programming Computation, Volume 7, Issue 2, June 2015

On solving a hard quadratic 3-dimensional assignment problem

Hans D. Mittelmann, Domenico Salvagnin

We address the solution of a very challenging (and previously unsolved) instance of the quadratic 3-dimensional assignment problem, arising in digitalwireless communications.The paper describes the techniques developed to solve this instance to optimality, from the choice of an appropriate mixed-integer programming formulation, to cutting planes and symmetry handling. Using these techniques we were able to solve the target instance with moderate computational effort (2.5 million nodes and 1 week of computations on a standard PC).

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