An Axiomatic Characterization of a Class of Locations in Tree Networks

Published Online:https://doi.org/10.1287/opre.46.3.347

References

  • Buhl H. U. Axiomatic considerations in multiobjective location theory. Eur. J. Opnl. Res. (1988) 37:363–367CrossrefGoogle Scholar
  • Clapham C. R. J.Introduction to Mathematical Analysis (1973) (Routledge & Kegan Paul, London) CrossrefGoogle Scholar
  • Dearing P. M., Francis R. L., Lowe T. Convex location problems on tree networks. Opns. Res. (1976) 24:628–642LinkGoogle Scholar
  • Eilenberg S., Montgomery D. Fixed point theorems for multi-valued transformations. Amer. J. Math. (1946) 68:214–222CrossrefGoogle Scholar
  • Hooker R. J. Solving nonlinear single-facility network location problems. Opns. Res. (1989) 34:732–743LinkGoogle Scholar
  • Hakimi S. L. Optimum location of switching centers and the absolute centers and medians of a graph. Opns. Res. (1964) 12:450–459LinkGoogle Scholar
  • Halpern J. The location of a cent-dian convex combination on an undirected tree. J. Regional Sci. (1976) 16:237–245CrossrefGoogle Scholar
  • Halpern J., Maimon O. Equity measures in locational decisions on trees. (1980) . Technical report, Haifa Technion, 254Google Scholar
  • Hansen P., Labbe M., Peeter D., Thisse J.-F. Single facility location on networks. Ann. Discrete Math. (1987) 31:113–145Google Scholar
  • Handler G., Mirchandani P.Location on Networks: Theory and Algorithms (1979) (M.I.T. Press, Cambridge, MA) Google Scholar
  • Holzmann R. An axiomatic approach to location on networks. Math. O. R. (1990) 15(3):553–563LinkGoogle Scholar
  • Kinderlehrer D., Stampacchia G.An Introduction to Variational Inequalities (1980) (Academic Press, New York) Google Scholar
  • Lensberg T. Stability and collective rationality. Econometrica (1987) 55(4):935–961CrossrefGoogle Scholar
  • Lensberg T., Thomson W.Axiomatic Theory of Bargaining with a Variable Number of Agents (1989) (Cambridge University Press, New York) Google Scholar
  • McAllister D. Equity and efficiency in public facility location. Geographical Anal. (1976) 8:47–63CrossrefGoogle Scholar
  • Mirchandani P., Francis R.Discrete Location Theory (1989) (John Wiley & Sons, New York) Google Scholar
  • Morril R., Symons J. Efficiency and equity aspects of optimum location. Geographical Anal. (1977) 9:215–225CrossrefGoogle Scholar
  • Moulin H.Axioms of Cooperative Decision Making (1988) (Cambridge University Press, New York) CrossrefGoogle Scholar
  • Vohra R. V. Distance weighted voting and a single facility location problem. Eur. J. Opnl. Res. (1989) 41:314–320CrossrefGoogle Scholar
  • Vohra R. V. An axiomatic characterization of some locations in trees. Eur. J. Opnl. Res. (1996) 90:78–84CrossrefGoogle Scholar
  • Young H. P.Cost Allocation: Methods, Principles, Applications (1985) (North-Holland Publishing Company)CrossrefGoogle Scholar
  • Young H. P. An axiomatization of Borda's rule. J. Econom. Theory (1974) 9:43–52CrossrefGoogle Scholar
  • Young H. P. Social choice scoring functions. SIAM J. Appl. Math. (1976) 28:824–838CrossrefGoogle Scholar
  • Young H. P. On dividing an amount according to individual claims and liabilities. Math. O. R. (1987) 12(3):398–414LinkGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.