IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v229y2013i2p444-452.html
   My bibliography  Save this article

Cooperative game theory approach to allocating benefits of horizontal cooperation

Author

Listed:
  • Lozano, S.
  • Moreno, P.
  • Adenso-Díaz, B.
  • Algaba, E.

Abstract

Logistics costs in general, and transportation costs in particular, represent a large fraction of the operating costs of many companies. One way to try to reduce these costs is through horizontal cooperation among shippers. Thus, when the transportation needs of two or more companies are merged, their collective transportation requirements can be met at lower cost. The attainable cost savings are due to economies of scale, which translate into cheaper rates due to increased negotiation power, use of larger vehicles and bundling of shipments. In this paper, a linear model is presented and used to study the cost savings that different companies may achieve when they merge their transportation requirements. On the one hand, solving this optimization model for different collaboration scenarios allows testing and quantifying the synergies among different potential partners, thus identifying the most profitable collaboration opportunities. On the other, the problem of allocating the joint cost savings of the cooperation is tackled using cooperative game theory. The proposed approach is illustrated with an example in which different cooperative game solution concepts are compared. Extensive numerical experiments have also been carried out to gain insight into the properties of the corresponding cost savings game and the behavior of the different solution concepts.

Suggested Citation

  • Lozano, S. & Moreno, P. & Adenso-Díaz, B. & Algaba, E., 2013. "Cooperative game theory approach to allocating benefits of horizontal cooperation," European Journal of Operational Research, Elsevier, vol. 229(2), pages 444-452.
  • Handle: RePEc:eee:ejores:v:229:y:2013:i:2:p:444-452
    DOI: 10.1016/j.ejor.2013.02.034
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221713001677
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2013.02.034?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. Hageback, Charlotte & Segerstedt, Anders, 2004. "The need for co-distribution in rural areas--a study of Pajala in Sweden," International Journal of Production Economics, Elsevier, vol. 89(2), pages 153-163, May.
    2. Cruijssen, F. & Braysy, O. & Dullaert, W. & Fleuren, H.A. & Salomon, M., 2006. "Joint Route Planning under Varying Market Conditions," Discussion Paper 2006-49, Tilburg University, Center for Economic Research.
    3. M A Krajewska & H Kopfer & G Laporte & S Ropke & G Zaccour, 2008. "Horizontal cooperation among freight carriers: request allocation and profit sharing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(11), pages 1483-1491, November.
    4. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Sherali, Hanif D. & Lunday, Brian J., 2011. "Equitable apportionment of railcars within a pooling agreement for shipping automobiles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(2), pages 263-283, March.
    6. Cruijssen, Frans & Borm, Peter & Fleuren, Hein & Hamers, Herbert, 2010. "Supplier-initiated outsourcing: A methodology to exploit synergy in transportation," European Journal of Operational Research, Elsevier, vol. 207(2), pages 763-774, December.
    7. Ozlem Ergun & Gultekin Kuyzu & Martin Savelsbergh, 2007. "Reducing Truckload Transportation Costs Through Collaboration," Transportation Science, INFORMS, vol. 41(2), pages 206-221, May.
    8. Tijs, S.H. & Driessen, T.S.H., 1986. "Game theory and cost allocation problems," Other publications TiSEM 376c24c5-c95d-4d29-96b6-4, Tilburg University, School of Economics and Management.
    9. S. H. Tijs & T. S. H. Driessen, 1986. "Game Theory and Cost Allocation Problems," Management Science, INFORMS, vol. 32(8), pages 1015-1028, August.
    10. Frisk, M. & Göthe-Lundgren, M. & Jörnsten, K. & Rönnqvist, M., 2010. "Cost allocation in collaborative forest transportation," European Journal of Operational Research, Elsevier, vol. 205(2), pages 448-458, September.
    11. Okan Örsan Özener & Özlem Ergun, 2008. "Allocating Costs in a Collaborative Transportation Procurement Network," Transportation Science, INFORMS, vol. 42(2), pages 146-165, May.
    12. Drechsel, J. & Kimms, A., 2010. "Computing core allocations in cooperative games with an application to cooperative procurement," International Journal of Production Economics, Elsevier, vol. 128(1), pages 310-321, November.
    Full references (including those not matched with items on IDEAS)

    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. J-F Audy & S D’Amours & L-M Rousseau, 2011. "Cost allocation in the establishment of a collaborative transportation agreement—an application in the furniture industry," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(6), pages 960-970, June.
    2. Audy, Jean-François & D’Amours, Sophie & Rönnqvist, Mikael, 2012. "An empirical study on coalition formation and cost/savings allocation," International Journal of Production Economics, Elsevier, vol. 136(1), pages 13-27.
    3. Defryn, Christof & Sörensen, Kenneth & Cornelissens, Trijntje, 2016. "The selective vehicle routing problem in a collaborative environment," European Journal of Operational Research, Elsevier, vol. 250(2), pages 400-411.
    4. 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.
    5. DEFRYN, Christof & SÖRENSEN, Kenneth & CORNELISSENS, Trijntje, 2015. "The selective vehicle routing problem in a collaborative environment," Working Papers 2015006, University of Antwerp, Faculty of Business and Economics.
    6. DEFRYN, Christof & VANOVERMEIRE, Christine & SÖRENSEN, Kenneth & VAN BREEDAM, Alex & VANNIEUWENHUYSE, Bart & VERSTREPEN, Sven, 2014. "Gain sharing in horizontal logistic collaboration. A case study in the fresh fruit and vegetables sector," Working Papers 2014004, University of Antwerp, Faculty of Business and Economics.
    7. Behzad Hezarkhani & Marco Slikker & Tom Woensel, 2016. "A competitive solution for cooperative truckload delivery," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 51-80, January.
    8. Jun Li & Xiaoqiang Cai & Yinlian Zeng, 2016. "Cost allocation for less-than-truckload collaboration among perishable product retailers," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 81-117, January.
    9. M. Fiestras-Janeiro & Ignacio García-Jurado & Manuel Mosquera, 2011. "Cooperative games and cost allocation problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(1), pages 1-22, July.
    10. Defryn, Christof & Sörensen, Kenneth & Dullaert, Wout, 2019. "Integrating partner objectives in horizontal logistics optimisation models," Omega, Elsevier, vol. 82(C), pages 1-12.
    11. Stehbeck, Florian, 2019. "Designing and Scheduling Cost-Efficient Tours by Using the Concept of Truck Platooning," Junior Management Science (JUMS), Junior Management Science e. V., vol. 4(4), pages 566-634.
    12. Basso, Franco & Guajardo, Mario & Varas, Mauricio, 2020. "Collaborative job scheduling in the wine bottling process," Omega, Elsevier, vol. 91(C).
    13. Kimms, A. & Kozeletskyi, I., 2016. "Core-based cost allocation in the cooperative traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 248(3), pages 910-916.
    14. Ramaekers, Katrien & Verdonck, Lotte & Caris, An & Meers, Dries & Macharis, Cathy, 2017. "Allocating collaborative costs in multimodal barge networks for freight bundling," Journal of Transport Geography, Elsevier, vol. 65(C), pages 56-69.
    15. VANOVERMEIRE, Christine & SÖRENSEN, Kenneth & VAN BREEDAM, Alex & VANNIEUWENHUYSE, Bart & VERSTREPEN, Sven, 2012. "Efficient supply chains through flexible horizontal collaboration," Working Papers 2012007, University of Antwerp, Faculty of Business and Economics.
    16. Yilmaz, Ozhan & Savasaneril, Secil, 2012. "Collaboration among small shippers in a transportation market," European Journal of Operational Research, Elsevier, vol. 218(2), pages 408-415.
    17. 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.
    18. Gao, Evelyn & Sowlati, Taraneh & Akhtari, Shaghaygh, 2019. "Profit allocation in collaborative bioenergy and biofuel supply chains," Energy, Elsevier, vol. 188(C).
    19. Grigoriev, Alexander & Jung, Verena & Peeters - Rutten, Marianne & Vredeveld, Tjark, 2017. "On the Acceptance of Gain Sharing Methods in Supply Chain Collaboration," Research Memorandum 024, Maastricht University, Graduate School of Business and Economics (GSBE).
    20. Nassim Mrabti & Nadia Hamani & Laurent Delahoche, 2022. "A Comprehensive Literature Review on Sustainable Horizontal Collaboration," Sustainability, MDPI, vol. 14(18), pages 1-38, September.

    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:eee:ejores:v:229:y:2013:i:2:p:444-452. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.