The Big Triangle Small Triangle Method for the Solution of Nonconvex Facility Location Problems

References

• Berman O., Drezner Z., Wesolowsky G. O. Routing and location on a network with hazardous threats. J. Oper. Res. Soc. (2000) 51:1093–1099Crossref, Google Scholar
• Berman O., Drezner Z., Wesolowsky G. O., Wang J. A probabilistic minimax location problem on the plane. Ann. Oper. Res. (2003) 122:59–70Crossref, Google Scholar
• Carrizosa E., Plastria F. Locating an undesirable facility by generalized cutting planes. Math. Oper. Res. (1998) 23:680–694Link, Google Scholar
• Drezner T., Drezner Z. (2002) . Finding the optimal solution to the Huff competitive location model. Under reviewGoogle Scholar
• Drezner Z., Wesolowsky G. O. The Weber problem on the plane with some negative weights. Inform. Systems Oper. Res. (1990) 29:87–99Crossref, Google Scholar
• Drezner Z., Wesolowsky G. O., Drezner T. (2002) . The gradual covering problem. Under reviewGoogle Scholar
• Erkut E., Neuman S. Analytical models for locating undesirable facilities. Eur. J. Oper. Res. (1989) 40:275–291Crossref, Google Scholar
• Hansen P., Jaumard B., Tuy H., Drezner Z. Global optimization in location. Facility Location: A Survey of Applications and Methods (1995) (Springer-Verlag, New York) Crossref, Google Scholar
• Hansen P., Peeters D., Thisse J. On the location of an obnoxious facility. Sistemi Urbani (1981) 3:299–317Google Scholar
• Krarup J. On a complementary problem of Courant and Robbins. Location Sci. (1998) 6:337–354Crossref, Google Scholar
• Maranas C. D., Floudas C. A., Hager W. W., Hearn D. W., Pardalos P. M. A global optimization method for Weber's problem with attraction and repulsion. Large Scale Optimization: State of the Art(Kluwer, Dordrecht, The Netherlands) Google Scholar
• Ohya T., Iri M., Murota K. Improvements of the incremental method of the Voronoi diagram with computational comparison of various algorithms. J. Oper. Res. Soc. Japan (1984) 27:306–337Google Scholar
• Okabe A., Boots B., Sugihara K., Chiu S. N., Okabe M. Wiley Series in Probability and Mathematical Statistics. Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (2000) (John Wiley and Sons, New York) Crossref, Google Scholar
• Plastria F. GBSSS, the generalized big square small square method for planar single facility location. Eur. J. Oper. Res. (1992) 62:163–174Crossref, Google Scholar
• Plastria F., Drezner Z. Continuous location problems. Facility Location: A Survey of Applications and Methods (1995) (Springer-Verlag, New York) Crossref, Google Scholar
• Sugihara K. Estimation of the sizes of wire bundles in manufacturing. Mathematical Methods in Manufacturing and Logistics (2001) (Mathematisches Forschungsinstitut, Oberwolfach, Germany) . DecemberGoogle Scholar
• Sugihara K., Iri M. A robust topology-oriented incremental algorithm for Voronoi diagram. Internat. J. Comput. Geometry Appl. (1994) 4:179–228Crossref, Google Scholar
• Suzuki A., Okabe A., Drezner Z. Using Voronoi diagrams. Facility Location: Applications and Methods (1995) (Springer, New York) Crossref, Google Scholar
• Tellier L. N. Points d'attraction, points de répulsion, centre et périphérie in association de science régionale de langue Française. Espace Et Périphérie (1987) (Laboratorio Nacional De Engenharia Civil, Lisbon, Portugal) Google Scholar
• Tellier L. N., Polanski B. The Weber problem: Frequency and different solution types and extension to repulsive forces and dynamic processes. J. Regional Sci. (1989) 29:387–405Crossref, Google Scholar
• Tuy H., Al-Khayyal F., Zhou F. A D.C. optimization method for single facility location problems. J. Global Optim. (1995) 7:209–227Crossref, Google Scholar