Resumen
Se define la versión multiobjetivo del Problema de Asignación Cuadrática. Se muestran los inconvenientes de la técnica de ponderación de objetivos y se desarrollan algoritmos locales bajo las metodologías de soluciones eficientes, lexicográficas y equilibradas mediante la generalización de los procedimientosr-óptimos al caso multidimensional. Se recogen resultados computacionales sobre los algoritmos propuestos.
Summary
We define the Multiobjective Quadratic Assignment Problem. Because of the difficulties of the weighted objectives method we develop local algorithms which are based in the methodologies of efficient, lexicographic and balanced solutions. We generalize ther-optimum procedures to multidimensional problems and we show computacional results of this algorithms.
This is a preview of subscription content, log in via an institution to check access.
Referencias
ARMOUR, G. C., y BUFFA, E. S. (1963): ≪A Heuristic Algorithm and Simulation Approach to the Relative Location of Facilities≫,Man. Sci., 9, 294–309.
BRUIJS, P. A. (1984): ≪On the Quality of Heuristic Solutions to a 19 × 19 Quadratic Assignment Problem≫,E. J. O. R., 17, 21–30.
BURKARD, R. E., y BÖNNIGER, T. (1983): ≪A Heuristic for Quadratic Boolean Programs with Applications to Quadratic Assignment Problems≫,E. J. O. R., 13, 374–386.
BURKARD R. E., y DERIGS, U. (1980): ≪Assignment and Matching Problems: Solution Methods with FORTRAN Programs≫,Lecture Notes in Economics and Mathematical Systems. 184, Springer, Berlin.
BURKARD, R. E., y RENDL, F. (1984): ≪A Thermodynamically Motivated Simulation Procedure for Combinatorial Optimization Problems≫,E. J. O. R., 17, 169–174.
ELSHAFEI, A. N. (1977): ≪Hospital Layout as a Quadratic Assignment Problem≫,Op. Res. Quart., 28, 167–179.
FELIPE, A. (1986): ≪Problema de Asignación Cuadrática. Extensiones≫, Tesis Doctoral, Universidad Complutense de Madrid.
GEOFFRION, A. M. (1968): ≪Proper Efficiency and the Theory of Vector Maximization≫,J. Math. Analysis and Applic, 22, 618–630.
KOOPMANS, T. C., y BECKMANN, M. J. (1957): ≪Assignment Problems and The Location of Economic Activities≫,Econometrica, 25, 53–76.
NUGENT, C. E.; VOLLMANN, T. E., y RUML J. (1968): ≪An Experimental Comparison of Techniques ofr the Assignment of Facilities to Locations≫,Op. Res., 16, 150–173.
PEGELS, C. (1966): ≪Plant Layout and Discrete Optimizing≫,International J. of Prod. Res., 5, 81–92.
RENDL, F. (1985): ≪Ranking Scalar Products to Improve Bounds for the Quadratic Assignment Problem≫,E. J. O. R, 20, 363–372.
SAHNI, S., y GONZALEZ, T. (1976): ≪P-complete Approximation Problem≫, J. A. C. M., 23, 555–565.
STEINBERG, L. (1961): ≪The Blackboard Wiring Problem: A Placement Algorithm≫,S I A M Rev., 3, 37–50.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Felipe, O.A. Problema de asignacion cuadratica multiobjetivo. Trabajos de Investigacion Operativa 4, 61–82 (1989). https://doi.org/10.1007/BF02888341
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02888341