Locating an Undesirable Facility by Generalized Cutting Planes

Published Online:https://doi.org/10.1287/moor.23.3.680

References

  • Aurenhammer F. Power diagrams: Properties, algorithms and applications. SIAM J. Comput. (1987) 16 78 96 CrossrefGoogle Scholar
  • Aurenhammer F. Voronoi diagrams—A survey of a fundamental geometric data structure. ACM Comput. Surveys (1991) 23 345 405 CrossrefGoogle Scholar
  • Avriel M. , Diewert W. E. , Schaible S. , Zang I. Generalized Concavity (1988) (Plenum Press, New York/London) CrossrefGoogle Scholar
  • Barros A. I. , Frenk J. B. G. Generalized fractional programming and cutting plane algorithms. J. Optim. Theory Appl. (1995) 87 103 120 CrossrefGoogle Scholar
  • Chen P. , Hansen P. , Jaumard B. On-line and off-line vertex enumeration by adjacency lists. Oper. Res. Lett. (1991) 10 403 409 CrossrefGoogle Scholar
  • Crama Y. , Ibaraki T. Hitting or avoiding balls in Euclidean space (1995) . Working paper, Ecole d'Administration des Affaires, Université de Liege, Belgium Google Scholar
  • Edelsbrunner H. Algorithms in Combinatorial Geometry (1987) (Springer-Verlag, Berlin Heidelberg) CrossrefGoogle Scholar
  • Erkut E. , Neuman S. A multiobjective model for locating undesirable facilities. Ann. Oper. Res. (1992) 40 209 227 CrossrefGoogle Scholar
  • Hansen P. , Peeters D. , Thisse J. F. On the location of an obnoxious facility. Sistemi Urbani (1981) 3 299 317 Google Scholar
  • Horst R. , Tuy H. Global Optimization, Deterministic Approaches (1990) (Springer-Verlag, Berlin) CrossrefGoogle Scholar
  • Love R. F. , Morris J. G. , Wesolowsky G. O. Facilities Location: Models and Methods (1988) (North-Holland, New York) Google Scholar
  • Martínez-Legaz J. E. , Hoffman K. H. , Hiriart-Urruty J. B. , Lemarechal C. , Zowe J. On lower subdifferentiable functions. Trends in Mathematical Optimization (1988) (Birkhauser-Verlag, Basel) 197 232 CrossrefGoogle Scholar
  • Melachrinoudis E. , Cullinane T. P. Locating an undesirable facility with a minimax criterion. Eur. J. Oper. Res. (1986) 24 239 246 CrossrefGoogle Scholar
  • Plastria F. Continuous location problems and cutting plane algorithms (1983) . Ph.D. thesis, Vrije Universiteit Brussel, Brussels, Belgium Google Scholar
  • Plastria F. Lower subdifferentiable functions and their minimization by cutting planes. J. Optim. Theory Appl. (1985) 46 37 53 CrossrefGoogle Scholar
  • Plastria F. , Drezner Z. Continuous location problems. Facility Location: A Survey of Applications and Methods (1995a) (Springer-Verlag) 225 262 CrossrefGoogle Scholar
  • Plastria F. Continuous location of attracting and undesirable facilities. (1995b) 131 148 . Semi-plenary Papers Book, EURO XIV Conference, Jerusalem Google Scholar
  • Preparata F. P. , Shamos M. I. Computational Geometry—An Introduction (1985) (Springer Verlag, Berlin-New York) CrossrefGoogle Scholar
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