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Location on Networks

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Author Info

  • LABBE, Martine

    (FNRS Research Associate and Université Libre de Bruxelles)

  • PEETERS, Dominique

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

  • THISSE, Jacques-François

    (Université de Paris I-Sorbonne and CERAS-ENPC)

Abstract

Facility location analysis deals with the problem of locating one or several facilities with regard to existing facilities and clients in order to optimize some economic criterion. In this survey, we consider specifically the problem of selecting one or several points of a network in order to optimize a function which is distance-dependent with respect to given points of the network. Minisum and minimax problems, where the objectives are to minimize respectively the sum or the maximum of different functions of distances, are reviewed. We also discuss models integrating more economic variables, such as prices, and putting more emphasis on the decision making context, particularly the competitive location models. Discrete models, for which the set of possible locations is finite and which have received the most attention of practionners, are presented as well.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 1993040.

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Date of creation: 01 Oct 1993
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Handle: RePEc:cor:louvco:1993040

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Cited by:
  1. Stuart, Harborne Jr., 2004. "Efficient spatial competition," Games and Economic Behavior, Elsevier, vol. 49(2), pages 345-362, November.
  2. Salvanes, Kjell G. & Steen, Frode & Sorgard, Lars, 2005. "Hotelling in the air? Flight departures in Norway," Regional Science and Urban Economics, Elsevier, vol. 35(2), pages 193-213, March.
  3. Ogryczak, Wlodzimierz, 2000. "Inequality measures and equitable approaches to location problems," European Journal of Operational Research, Elsevier, vol. 122(2), pages 374-391, April.
  4. V.I. Norkin & G.C. Pflug & A. Ruszczynski, 1996. "A Branch and Bound Method for Stochastic Global Optimization," Working Papers wp96065, International Institute for Applied Systems Analysis.
  5. Iida, Tetsuya & Matsubayashi, Nobuo, 2011. "Strategic multi-store opening under financial constraint," European Journal of Operational Research, Elsevier, vol. 210(2), pages 379-389, April.
  6. Dominique Peeters & Isabelle Thomas, 2005. "Does the Shape of a Territory Influence the Locations of Human Activities? a Numerical Geography Approach," ERSA conference papers ersa05p56, European Regional Science Association.
  7. de Palma, André & Lindsey, Robin, 2001. "Optimal timetables for public transportation," Transportation Research Part B: Methodological, Elsevier, vol. 35(8), pages 789-813, September.
  8. Ellis, Christopher J. & Silva, Emilson C. D., 1998. "British Bus Deregulation: Competition and Demand Coordination," Journal of Urban Economics, Elsevier, vol. 43(3), pages 336-361, May.
  9. Marti­n, Juan Carlos & Román, Concepción, 2003. "Hub location in the South-Atlantic airline market: A spatial competition game," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(10), pages 865-888, December.
  10. Bourreau, Marc, 2003. "Mimicking vs. counter-programming strategies for television programs," Information Economics and Policy, Elsevier, vol. 15(1), pages 35-54, March.
  11. Tabuchi, T. & Thisse, J.-F., . "Asymetric equilibria in spatial competition," CORE Discussion Papers RP -1151, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Christou, Charalambos & Vettas, Nikolaos, 2005. "Location choices under quality uncertainty," Mathematical Social Sciences, Elsevier, vol. 50(3), pages 268-278, November.
  13. Becker, Ronald I. & Lari, Isabella & Scozzari, Andrea, 2007. "Algorithms for central-median paths with bounded length on trees," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1208-1220, June.
  14. Dominique Peeters & Jacques Thisse & Isabelle Thomas, 1998. "Transportation networks and the location of human activities," ERSA conference papers ersa98p268, European Regional Science Association.
  15. Díaz-Báñez, J.M. & Heredia, M. & Pelegrín, B. & Pérez-Lantero, P. & Ventura, I., 2011. "Finding all pure strategy Nash equilibria in a planar location game," European Journal of Operational Research, Elsevier, vol. 214(1), pages 91-98, October.
  16. Meagher, Kieron J. & Zauner, Klaus G., 2004. "Product differentiation and location decisions under demand uncertainty," Journal of Economic Theory, Elsevier, vol. 117(2), pages 201-216, August.
  17. Baye, Michael R. & Morgan, John, 1999. "A folk theorem for one-shot Bertrand games," Economics Letters, Elsevier, vol. 65(1), pages 59-65, October.
  18. Rath, Kali P. & Zhao, Gongyun, 2001. "Two stage equilibrium and product choice with elastic demand," International Journal of Industrial Organization, Elsevier, vol. 19(9), pages 1441-1455, November.
  19. Ogryczak, Wlodzimierz, 1997. "On the lexicographic minimax approach to location problems," European Journal of Operational Research, Elsevier, vol. 100(3), pages 566-585, August.
  20. Crainic, Teodor Gabriel & Laporte, Gilbert, 1997. "Planning models for freight transportation," European Journal of Operational Research, Elsevier, vol. 97(3), pages 409-438, March.
  21. Eiselt, H. A. & Laporte, Gilbert, 1997. "Sequential location problems," European Journal of Operational Research, Elsevier, vol. 96(2), pages 217-231, January.
  22. Guggenberger, Patrik & Kaul, Ashok & Kolmar, Martin, 2002. "Efficiency properties of labor taxation in a spatial model of restricted labor mobility," Regional Science and Urban Economics, Elsevier, vol. 32(4), pages 447-473, July.

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