Monique Guignard

An Improved Algorithm for the Generalized Quadratic Assignment Problem

  • Monique Guignard
  • Peter M. Hahn
  • Artur Alves Pessoa
  • Yi-Rong Zhu
    • Categories 0-1 Programming, Combinatorial Optimization Tags , ,

    In the Generalized Quadratic Assignment Problem (GQAP), given M facilities and N locations, one must assign each facility to one location so as to satisfy the given facility space requirements, minimizing the sum of installation and facility interaction costs. In this paper, we propose a new Lagrangean relaxation and a lower bounding procedure for the … Read more

    A new, solvable, primal relaxation for nonlinear integer programming problems with linear constraints

  • Monique Guignard
    • Categories (Mixed) Integer Nonlinear Programming, Combinatorial Optimization Tags , , , ,

    This paper describes a new primal relaxation for nonlinear integer programming problems with linear constraints. This relaxation, contrary to the standard Lagrangean relaxation, can be solved efficiently. It requires the solution of a nonlinear penalized problem whose linear constraint set is known only implicitly, but whose solution is made possible by the use of a … Read more