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Constructive and blocking power in collaborative transportation

Author

Listed:
  • Mario Guajardo

    (NHH Norwegian School of Economics)

  • Kurt Jörnsten

    (NHH Norwegian School of Economics)

  • Mikael Rönnqvist

    (NHH Norwegian School of Economics
    Université Laval)

Abstract

We empirically investigate constructive and blocking power concepts in transportation planning. Our main question is what do these concepts represent in collaborative transportation. We address it by studying cost allocation and coalition structure problems in a real-world case on forest transportation involving eight companies. The potential savings of collaboration in this case account for about 9 %. We find that players more centrally located tend to benefit from the nucleolus allocation, which takes into account only the constructive power. Other methods, which take into account the blocking power, namely the modiclus and the SM-nucleolus, correct the relative importance of the central players with respect to those in more peripheral areas. The blocking power acknowledges that the more peripheral companies, as a block, are still crucial to the collaboration, despite among themselves they have little opportunities for collaboration. Our main conclusion is that incorporating the blocking power as a criterion in a cost sharing rule for collaborative planning in transportation is important specially in the case where the coalition consists of one or few centrally located companies and several peripheral companies. A method based merely on the constructive power might extremely benefit the central companies, hurting the possibilities of sustaining the coalition.

Suggested Citation

  • Mario Guajardo & Kurt Jörnsten & Mikael Rönnqvist, 2016. "Constructive and blocking power in collaborative transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 25-50, January.
  • Handle: RePEc:spr:orspec:v:38:y:2016:i:1:d:10.1007_s00291-015-0413-z
    DOI: 10.1007/s00291-015-0413-z
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    Cited by:

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    6. Mauricio Varas & Franco Basso & Paul Bosch & Juan Pablo Contreras & Raúl Pezoa, 2022. "A horizontal collaborative approach for planning the wine grape harvesting," Operational Research, Springer, vol. 22(5), pages 4965-4998, November.
    7. Homberger, Jörg & Fink, Andreas, 2017. "Generic negotiation mechanisms with side payments – Design, analysis and application for decentralized resource-constrained multi-project scheduling problems," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1001-1012.
    8. Defryn, Christof & Sörensen, Kenneth, 2018. "Multi-objective optimisation models for the travelling salesman problem with horizontal cooperation," European Journal of Operational Research, Elsevier, vol. 267(3), pages 891-903.
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    10. Kasina, Saamrat & Hobbs, Benjamin F., 2020. "The value of cooperation in interregional transmission planning: A noncooperative equilibrium model approach," European Journal of Operational Research, Elsevier, vol. 285(2), pages 740-752.
    11. Lotte Verdonck & Katrien Ramaekers & Benoît Depaire & An Caris & Gerrit K. Janssens, 2019. "Analysing the Effect of Partner Characteristics on the Performance of Horizontal Carrier Collaborations," Networks and Spatial Economics, Springer, vol. 19(2), pages 583-609, June.
    12. Cleophas, Catherine & Cottrill, Caitlin & Ehmke, Jan Fabian & Tierney, Kevin, 2019. "Collaborative urban transportation: Recent advances in theory and practice," European Journal of Operational Research, Elsevier, vol. 273(3), pages 801-816.
    13. Alf Kimms & Herbert Kopfer, 2016. "Collaborative planning in transportation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(1), pages 1-2, January.
    14. Guajardo, Mario & Rönnqvist, Mikael & Flisberg, Patrik & Frisk, Mikael, 2018. "Collaborative transportation with overlapping coalitions," European Journal of Operational Research, Elsevier, vol. 271(1), pages 238-249.

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