IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v82y1998i0p203-21810.1023-a1018935324969.html
   My bibliography  Save this article

The traveling salesman game: An application ofcost allocation in a gas and oil company

Author

Listed:
  • Stefan Engevall
  • Maud Göthe-Lundgren
  • Peter Värbrand

Abstract

In this article, a cost allocation problem that arises in a distribution planning situation atthe Logistics Department at Norsk Hydro Olje AB is studied. A specific tour is considered,for which the total distribution cost is to be divided among the customers that are visited.This problem is formulated as a traveling salesman game, and cost allocation methods basedon different concepts from cooperative game theory, such as the nucleolus, the Shapleyvalue and the t-value, are discussed. Additionally, a new concept is introduced: the demandnucleolus. Computational results for the Norsk Hydro case are presented and discussed. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • Stefan Engevall & Maud Göthe-Lundgren & Peter Värbrand, 1998. "The traveling salesman game: An application ofcost allocation in a gas and oil company," Annals of Operations Research, Springer, vol. 82(0), pages 203-218, August.
    • Handle: RePEc:spr:annopr:v:82:y:1998:i:0:p:203-218:10.1023/a:1018935324969
    DOI: 10.1023/A:1018935324969
    as

    Download full text from publisher

    File URL: https://hdl.handle.net/10.1023/A:1018935324969
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1018935324969?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.

    Citations

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


    Cited by:

    1. Nassim Mrabti & Nadia Hamani & Laurent Delahoche, 2022. "A Comprehensive Literature Review on Sustainable Horizontal Collaboration," Sustainability, MDPI, vol. 14(18), pages 1-38, September.
    2. Elena Iñarra & Roberto Serrano & Ken-Ichi Shimomura, 2020. "The Nucleolus, the Kernel, and the Bargaining Set: An Update," Revue économique, Presses de Sciences-Po, vol. 71(2), pages 225-266.
    3. Ralf Borndörfer & Nam-Dũng Hoang, 2015. "Fair ticket pricing in public transport as a constrained cost allocation game," Annals of Operations Research, Springer, vol. 226(1), pages 51-68, March.
    4. Stefan Engevall & Maud Göthe-Lundgren & Peter Värbrand, 2004. "The Heterogeneous Vehicle-Routing Game," Transportation Science, INFORMS, vol. 38(1), pages 71-85, February.
    5. Yang, Fei & Dai, Ying & Ma, Zu-Jun, 2020. "A cooperative rich vehicle routing problem in the last-mile logistics industry in rural areas," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).
    6. Yea, Minyoung & Kim, Daeki & Cheong, Taesu & Moon, Joon & Kang, Sungho, 2022. "Baking and slicing the pie: An application to the airline alliance's profit-sharing based on cooperative game theory," Journal of Air Transport Management, Elsevier, vol. 102(C).
    7. Cruijssen, Frans & Cools, Martine & Dullaert, W., 2007. "Horizontal cooperation in logistics: opportunities and impediments," Other publications TiSEM ab29fad8-1faf-422b-826e-0, Tilburg University, School of Economics and Management.
    8. Kellner, Florian & Schneiderbauer, Miriam, 2019. "Further insights into the allocation of greenhouse gas emissions to shipments in road freight transportation: The pollution routing game," European Journal of Operational Research, Elsevier, vol. 278(1), pages 296-313.
    9. Trine Platz & Herbert Hamers, 2015. "On games arising from multi-depot Chinese postman problems," Annals of Operations Research, Springer, vol. 235(1), pages 675-692, December.
    10. Okan Örsan Özener & Özlem Ergun & Martin Savelsbergh, 2013. "Allocating Cost of Service to Customers in Inventory Routing," Operations Research, INFORMS, vol. 61(1), pages 112-125, February.
    11. Olivier Massol & Stéphane Tchung-Ming, 2009. "Stratégies coopératives dans l'industrie du GNL : l'argument de la rationalisation est-il fondé ?," Working Papers hal-02469480, HAL.
    12. Mathijs van Zon & Remy Spliet & Wilco van den Heuvel, 2021. "The Joint Network Vehicle Routing Game," Transportation Science, INFORMS, vol. 55(1), pages 179-195, 1-2.
    13. Margaretha Gansterer & Richard F. Hartl & Sarah Wieser, 2021. "Assignment constraints in shared transportation services," Annals of Operations Research, Springer, vol. 305(1), pages 513-539, October.
    14. Arroyo, Federico, 2024. "Cost Allocation in Vehicle Routing Problems with Time Windows," Junior Management Science (JUMS), Junior Management Science e. V., vol. 9(1), pages 1241-1268.
    15. Florian Kellner, 2022. "Generating greenhouse gas cutting incentives when allocating carbon dioxide emissions to shipments in road freight transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 833-874, September.

    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:spr:annopr:v:82:y:1998:i:0:p:203-218:10.1023/a:1018935324969. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: https://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.