Equity-Efficiency Bicriteria Location with Squared Euclidean Distances

References

• Balas E., Zemel E. An algorithm for large zero-one knapsack problems. Oper. Res. (1980) 28:1130–1154Link, Google Scholar
• Boissonnat J.-D., Yvinec M.Algorithmic Geometry (1998) (Cambridge University Press, Cambridge, UK) Crossref, Google Scholar
• Carrizosa E. Minimizing the variance of Euclidean distances. Stud. Locational Anal. (1999) 12:101–118Google Scholar
• Carrizosa E., Plastria F. Location of semi-obnoxious facilities. Stud. Locational Anal. (1999) 12:1–27Google Scholar
• Carrizosa E., Plastria F. Dominators for multiple-objective quasiconvex maximization problems. J. Global Optim. (2000) 18:35–58Crossref, Google Scholar
• Drezner Z., Wesolowsky G. O. The Weber problem on the plane with some negative weights. INFOR (1991) 29:87–99Google Scholar
• Drezner Z., Thisse J.-F., Wesolowsky G. O. The minimax-min location problem. J. Regional Sci. (1986) 26:87–101Crossref, Google Scholar
• Drezner Z., Klamroth K., Schöbel A., Wesolowsky G. O., Drezner Z., Hamacher H. W. The Weber problem. Facility Location (2004) (Springer, Berlin) 1–36Google Scholar
• Edelsbrunner H., O'Rourke J., Seidel R. Constructing arrangements of lines and hyperplanes with applications. SIAM J. Comput. (1986) 15:341–363Crossref, Google Scholar
• Eiselt H. A., Laporte G., Drezner Z. Objectives in location problems. Facility Location (1995) (Springer, Berlin) 151–180Crossref, Google Scholar
• Erkut E. Inequality measures for location problems. Location Sci. (1993) 1:199–217Google Scholar
• Francis R. L., McGinnis L. F., White J. A.Facility Layout and Location (1992) (Prentice Hall, Englewood Cliffs, NJ) Google Scholar
• Hansen P., Peeters D., Thisse J.-F. On the location of an obnoxious facility. Sistemi Urbani (1981a) 3:299–317Google Scholar
• Hansen P., Peeters D., Thisse J.-F. Constrained location and the Weber-Rawls problem. Ann. Oper. Res. (1981b) 11:147–166Google Scholar
• Hertel S., Mehlhorn K. Fast triangulation of simple polygons. Proc. 1983 Internat. FCT Conf., Lecture Notes in Computer Science (1983) 158(Springer, Berlin) 207–218Crossref, Google Scholar
• Krugman P.Geography and Trade (1993) (MIT Press, Cambridge, MA) Google Scholar
• Love R. F., Morris J. G., Wesolowsky G. O.Facilities Location (1988) (North-Holland, Amsterdam) Google Scholar
• Lozano A. J., Mesa J. A. Location of facilities with undesirable effects and inverse location problems. Stud. Locational Anal. (2000) 14:253–291Google Scholar
• Mandell M. B. Modelling effectiveness-equity trade-offs in public service delivery systems. Management Sci. (1991) 37:467–482Link, Google Scholar
• Marsh M. T., Schilling D. A. Equity measurement in facility location analysis: A review and framework. Eur. J. Oper. Res. (1994) 74:1–17Crossref, Google Scholar
• Marshall A. W., Olkin I.Inequalities (1979) (Academic Press, New York) Google Scholar
• Melachrinoudis E., Xanthopulos Z. Semi-obnoxious single facility location in Euclidean space. Comput. Oper. Res. (2003) 30:2191–2209Crossref, Google Scholar
• Miettinen K. M.Nonlinear Multiobjective Optimization (1999) (Kluwer Academic Publishers, Boston) Google Scholar
• Ogryczak W. Inequality measures and equitable approaches to location problems. Eur. J. Oper. Res. (2000) 122:374–391Crossref, Google Scholar
• Ohsawa Y. A geometrical solution for quadratic bicriteria location models. Eur. J. Oper. Res. (1999) 114:380–388Crossref, Google Scholar
• Ohsawa Y. Bicriteria Euclidean location associated with maximin and minimax criteria. Naval Res. Logist. (2000) 47:581–592Crossref, Google Scholar
• Ohsawa Y., Tamura K. Efficient location for a semi-obnoxious facility. Ann. Oper. Res. (2003) 123:173–188Crossref, Google Scholar
• Ohsawa Y., Plastria F., Tamura K. Euclidean push-pull partial covering problems. Comput. Oper. Res. (2006) 33:3566–3582Crossref, Google Scholar
• Okabe A., Boots B., Sugihara K., Chiu S. N.Spatial Tessellations (1999) (Wiley, New York) Google Scholar
• O'Rourke J., Chien C.-B., Olson T., Naddor D. A new linear algorithm for intersecting convex polygons. Comput. Graphics and Image Processing (1982) 19:384–391Crossref, Google Scholar
• Plastria F., Carrizosa E. Geometrical characterization of weakly efficient points. J. Optim. Theory Appl. (1996) 90:217–223Crossref, Google Scholar
• Sen A.On Economic Inequality (1973) (Oxford University Press, London) Crossref, Google Scholar
• Stiglitz J. E.Economics of the Public Sector (1986) (W. W. Norton and Company, New York) Google Scholar