IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v66y2007i3p419-449.html
   My bibliography  Save this article

Weber problems with mixed distances and regional demand

Author

Listed:
  • Martin Gugat
  • Barbara Pfeiffer

Abstract

We consider a location problem where the distribution of the existing facilities is described by a probability distribution and the transportation cost is given by a combination of transportation cost in a network and continuous distance. The motivation is that in many cases transportation cost is partly given by the cost of travel in a transportation network whereas the access to the network and the travel from the exit of the network to the new facility is given by a continuous distance. Copyright Springer-Verlag 2007

Suggested Citation

  • Martin Gugat & Barbara Pfeiffer, 2007. "Weber problems with mixed distances and regional demand," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 66(3), pages 419-449, December.
    • Handle: RePEc:spr:mathme:v:66:y:2007:i:3:p:419-449
    DOI: 10.1007/s00186-007-0165-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-007-0165-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00186-007-0165-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ouyang, Yanfeng & Daganzo, Carlos F., 2003. "Discretization and Validation of the Continuum Approximation Scheme for Terminal System Design," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9dm7v0cn, Institute of Transportation Studies, UC Berkeley.
    2. Carrizosa, E. & Munoz-Marquez, M. & Puerto, J., 1998. "The Weber problem with regional demand," European Journal of Operational Research, Elsevier, vol. 104(2), pages 358-365, January.
    3. Richard E. Wendell & Arthur P. Hurter, 1973. "Location Theory, Dominance, and Convexity," Operations Research, INFORMS, vol. 21(1), pages 314-320, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jing Yao & Alan T. Murray, 2014. "Serving regional demand in facility location," Papers in Regional Science, Wiley Blackwell, vol. 93(3), pages 643-662, August.
    2. Nazlı Dolu & Umur Hastürk & Mustafa Kemal Tural, 2020. "Solution methods for a min–max facility location problem with regional customers considering closest Euclidean distances," Computational Optimization and Applications, Springer, vol. 75(2), pages 537-560, March.
    3. Didier Josselin & Marc Ciligot-Travain, 2013. "Revisiting the Optimal Center Location. A Spatial Thinking Based on Robustness, Sensitivity, and Influence Analysis," Environment and Planning B, , vol. 40(5), pages 923-941, October.
    4. Frank Plastria & Mohamed Elosmani, 2013. "Continuous location of an assembly station," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 323-340, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tammy Drezner & Zvi Drezner, 2019. "Cooperative Cover of Uniform Demand," Networks and Spatial Economics, Springer, vol. 19(3), pages 819-831, September.
    2. Daoqin Tong & Alan T. Murray, 2009. "Maximising coverage of spatial demand for service," Papers in Regional Science, Wiley Blackwell, vol. 88(1), pages 85-97, March.
    3. C. Valero Franco & A. Rodríguez-Chía & I. Espejo Miranda, 2008. "The single facility location problem with average-distances," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 164-194, July.
    4. Behrens, Kristian, 2007. "On the location and lock-in of cities: Geography vs transportation technology," Regional Science and Urban Economics, Elsevier, vol. 37(1), pages 22-45, January.
    5. Zvi Drezner & Jack Brimberg & Nenad Mladenović & Said Salhi, 2016. "New local searches for solving the multi-source Weber problem," Annals of Operations Research, Springer, vol. 246(1), pages 181-203, November.
    6. Tammy Drezner & Zvi Drezner & Dawit Zerom, 2023. "The Obnoxious Competitive Facility Location Model," Networks and Spatial Economics, Springer, vol. 23(4), pages 885-903, December.
    7. Stefan Nickel & Justo Puerto & Antonio M. Rodriguez-Chia, 2003. "An Approach to Location Models Involving Sets as Existing Facilities," Mathematics of Operations Research, INFORMS, vol. 28(4), pages 693-715, November.
    8. Carrizosa, E. & Frenk, J.B.G., 1996. "Dominating Sets for Convex Functions with some Applications," Econometric Institute Research Papers EI 9657-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. N Aras & M Orbay & I K Altinel, 2008. "Efficient heuristics for the rectilinear distance capacitated multi-facility Weber problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 64-79, January.
    10. Zvi Drezner & Mozart B. C. Menezes, 2016. "The wisdom of voters: evaluating the Weber objective in the plane at the Condorcet solution," Annals of Operations Research, Springer, vol. 246(1), pages 205-226, November.
    11. Canos, M. J. & Ivorra, C. & Liern, V., 1999. "An exact algorithm for the fuzzy p-median problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 80-86, July.
    12. M. Hakan Akyüz & Temel Öncan & İ. Kuban Altınel, 2019. "Branch and bound algorithms for solving the multi-commodity capacitated multi-facility Weber problem," Annals of Operations Research, Springer, vol. 279(1), pages 1-42, August.
    13. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2020. "Gradual cover competitive facility location," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 333-354, June.
    14. Plastria, Frank, 2016. "How bad can the centroid be?," European Journal of Operational Research, Elsevier, vol. 252(1), pages 98-102.
    15. Jing Yao & Alan T. Murray, 2014. "Serving regional demand in facility location," Papers in Regional Science, Wiley Blackwell, vol. 93(3), pages 643-662, August.
    16. Jianlin Jiang & Xiaoming Yuan, 2012. "A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand," Computational Optimization and Applications, Springer, vol. 51(3), pages 1275-1295, April.
    17. Zvi Drezner & George Wesolowsky, 2014. "Covering Part of a Planar Network," Networks and Spatial Economics, Springer, vol. 14(3), pages 629-646, December.
    18. Zvi Drezner & Carlton Scott, 2013. "Location of a distribution center for a perishable product," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(3), pages 301-314, December.
    19. Blanco, Víctor & Gázquez, Ricardo & Ponce, Diego & Puerto, Justo, 2023. "A branch-and-price approach for the continuous multifacility monotone ordered median problem," European Journal of Operational Research, Elsevier, vol. 306(1), pages 105-126.
    20. Gaigné, C. & Hovelaque, V. & Mechouar, Y., 2020. "Carbon tax and sustainable facility location: The role of production technology," International Journal of Production Economics, Elsevier, vol. 224(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:mathme:v:66:y:2007:i:3:p:419-449. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.