Consideration of multiple objectives in horizontal cooperation with an application to transportation planning

References

• Andersen, K.A. and Lind, M. (1999) Computing the NTU-Shapley value of NTU games defined by multiple objective linear programs. International Journal of Game Theory, 28(4), 585–597.
   Web of Science ®Google Scholar
• Audy, J.-F., D’Amours, S. and Rönnqvist, M. (2011) Cost allocation in the establishment of a collaborative transportation agreement—An application in the furniture industry. Journal of the Operational Research Society, 62(6), 960–970.
   Web of Science ®Google Scholar
• Aumann, R.J. (1961) The core of a cooperative game without side payments. Transactions of the American Mathematical Society, 98(3), 539–552.
   Google Scholar
• Christensen, F., Lind, M. and Tind, J. (1996) On the nucleolus of NTU games defined by multiple objective linear programs. Mathematical Methods of Operations Research, 43(3), 337–352.
   Google Scholar
• Drechsel, J. and Kimms, A. (2010). Computing core allocations in cooperative games with an application to cooperative procurement. International Journal of Production Economics, 128(1), 310–321.
   Web of Science ®Google Scholar
• Fernandez, F.R., Hinojosa, M.A. and Puerto, J. (2003) Multi-criteria minimum cost spanning tree games. European Journal of Operational Research, 158(2), 399–408.
   Web of Science ®Google Scholar
• Fernandez, F.R., Hinojosa, M.A. and Puerto, J. (2004) Set-valued TU games. European Journal of Operational Research, 159(1), 181–195.
   Web of Science ®Google Scholar
• Frisk, M., Göthe-Lundgren, M., Jörnsten, K. and Rönnqvist, M. (2010) Cost allocation in collaborative forest transportation. European Journal of Operational Research, 205(2), 448–458.
   Web of Science ®Google Scholar
• Gilles, D.B. (1959) Solutions to general non-zero-sum games, in Contributions to the Theory of Games, Volume 4, Princeton University Press, Princeton, NJ, pp. 47–85.
   Google Scholar
• Kalai, E. (1975) Excess functions for cooperative games without sidepayments. SIAM Journal of Applied Mathematics, 29(1), 60–71.
   Web of Science ®Google Scholar
• Kilgour, M.D., Chen, Y. and Hipel, K.W. (2010) Multiple criteria approaches to group decision and negotiation, in Trends in Multiple Criteria Decision Analysis, Springer, Heidelberg, pp. 317–338.
   Google Scholar
• Kilgour, M.D. and Eden, C. (eds).  (2010) Handbook of Group Decision and Negotiation, Springer, Heidelberg.
   Google Scholar
• Kimms, A. and Kozeletskyi, I. (2016a) Core-based cost allocation in the cooperative traveling salesman problem. European Journal of Operational Research, 248(3), 910–916.
   Web of Science ®Google Scholar
• Kimms A. and Kozeletskyi, I. (2016b) Shapley value-based cost allocation in the cooperative traveling salesman problem under rolling horizon planning. EURO Journal on Transportation and Logistics, 5(4), 371–392.
   Web of Science ®Google Scholar
• Kimms, A., Kozeletskyi, I. and Meca, A. (2014) Bi-allocation games: A new class of cooperative games with transferable and non-transferable utilities. Working Paper, University of Duisburg-Essen, Duisburg, Germany.
   Google Scholar
• Krajewka, M., Kopfer, H., Laporte, G., Ropke, S. and Zaccour, G. (2008) Horizontal cooperation among freight carries: Request allocation and profit sharing. Journal of the Operational Research Society, 59(11), 1483–1491.
   Web of Science ®Google Scholar
• Laporte, G., Nobert, Y. and Taillefer, S. (1988) Solving a family of multi-depot vehicle routing and location-routing problems. Transportation Science, 22(3), 161–172.
   Web of Science ®Google Scholar
• Lozano, S., Moreno, P., Adenso-Diaz, B. and Algaba, E. (2013) Cooperative game theory approach to allocating benefits of horizontal cooperation. European Journal of Operational Research, 229(2), 444–452.
   Web of Science ®Google Scholar
• Mavrotas, G. (2009) Effective implementation of the ϵ-constraint method in multi-objective mathematical programming problems. Applied Mathematical Computing, 213(2), 455–465.
   Web of Science ®Google Scholar
• Nishizaki, I. and Sakawa, M. (2001) On computational methods for solutions of multiobjective linear production games. European Journal of Operational Research, 129(2), 386–413.
   Web of Science ®Google Scholar
• Özener, O.O. and Ergun, Ö. (2008) Allocating costs in a collaborative transportation procurement network. Transportation Science, 42(2), 146–165.
   Web of Science ®Google Scholar
• Sprenger, R. and Mönch, L. (2012) A methodolody to solve a large-scale cooperative transportation planning problems. European Journal of Operational Research, 223(3), 626–636.
   Web of Science ®Google Scholar