IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v13y1979i2p85-97.html
   My bibliography  Save this article

Locations of Medians on Stochastic Networks

Author

Listed:
  • Pitu B. Mirchandani

    (Rensselaer Polytechnic Institute, Troy, New York)

  • Amedeo R. Odoni

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

Abstract

The definition of network medians is extended to the case where travel times on network links are random variables with known discrete probability distributions. Under a particular set of assumptions, it is shown that the well known “facilities at nodes” theorems of Hakimi and of Levy can be extended to such stochastic networks. The concepts are further extended to the case of stochastic oriented networks. A particular set of applications, as well as mathematical programming formulations of the problem, are also discussed briefly.

Suggested Citation

  • Pitu B. Mirchandani & Amedeo R. Odoni, 1979. "Locations of Medians on Stochastic Networks," Transportation Science, INFORMS, vol. 13(2), pages 85-97, May.
  • Handle: RePEc:inm:ortrsc:v:13:y:1979:i:2:p:85-97
    DOI: 10.1287/trsc.13.2.85
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.13.2.85
    Download Restriction: no

    File URL: https://libkey.io/10.1287/trsc.13.2.85?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
    ---><---

    Citations

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


    Cited by:

    1. M S Daskin & A Haghani, 1984. "Multiple Vehicle Routing and Dispatching to an Emergency Scene," Environment and Planning A, , vol. 16(10), pages 1349-1359, October.
    2. Daniel Serra & Vladimir Marianov, 1996. "The P-median problem in a changing network: The case of Barcelona," Economics Working Papers 180, Department of Economics and Business, Universitat Pompeu Fabra.
    3. H K Smith & G Laporte & P R Harper, 2009. "Locational analysis: highlights of growth to maturity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 140-148, May.
    4. Alan Murray, 2010. "Advances in location modeling: GIS linkages and contributions," Journal of Geographical Systems, Springer, vol. 12(3), pages 335-354, September.
    5. O Berman & Z Drezner, 2003. "A probabilistic one-centre location problem on a network," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 871-877, August.
    6. Renata Turkeš & Kenneth Sörensen & Daniel Palhazi Cuervo, 2021. "A matheuristic for the stochastic facility location problem," Journal of Heuristics, Springer, vol. 27(4), pages 649-694, August.
    7. Igor Averbakh, 2005. "The Minmax Relative Regret Median Problem on Networks," INFORMS Journal on Computing, INFORMS, vol. 17(4), pages 451-461, November.
    8. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    9. Farahani, Reza Zanjirani & Fallah, Samira & Ruiz, Rubén & Hosseini, Sara & Asgari, Nasrin, 2019. "OR models in urban service facility location: A critical review of applications and future developments," European Journal of Operational Research, Elsevier, vol. 276(1), pages 1-27.
    10. Fang Lu & John J. Hasenbein & David P. Morton, 2016. "Modeling and Optimization of a Spatial Detection System," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 512-526, August.
    11. Jeong, Yoonjea & Kim, Gwang, 2023. "Reliable design of container shipping network with foldable container facility disruption," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
    12. Azcuy, Irecis & Agatz, Niels & Giesen, Ricardo, 2021. "Designing integrated urban delivery systems using public transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    13. K Sörensen, 2008. "Investigation of practical, robust and flexible decisions for facility location problems using tabu search and simulation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 624-636, May.
    14. Afshartous, David & Guan, Yongtao & Mehrotra, Anuj, 2009. "US Coast Guard air station location with respect to distress calls: A spatial statistics and optimization based methodology," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1086-1096, August.
    15. Current, John & Ratick, Samuel & ReVelle, Charles, 1998. "Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach," European Journal of Operational Research, Elsevier, vol. 110(3), pages 597-609, November.
    16. Vladimir Marianov & Daniel Serra, 2009. "Median problems in networks," Economics Working Papers 1151, Department of Economics and Business, Universitat Pompeu Fabra.
    17. Barbara Anthony & Vineet Goyal & Anupam Gupta & Viswanath Nagarajan, 2010. "A Plant Location Guide for the Unsure: Approximation Algorithms for Min-Max Location Problems," Mathematics of Operations Research, INFORMS, vol. 35(1), pages 79-101, February.
    18. Tong, Daoqin & Ren, Fang & Mack, James, 2012. "Locating farmers’ markets with an incorporation of spatio-temporal variation," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 149-156.

    More about this item

    Statistics

    Access and download statistics

    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:inm:ortrsc:v:13:y:1979:i:2:p:85-97. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.