Allocating Collaborative Profit in Less-than-Truckload Carrier Alliance
Peng Liu, Yaohua Wu, Na Xu
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DOI: 10.4236/jssm.2010.31018   PDF    HTML     6,379 Downloads   11,433 Views   Citations

Abstract

International Financial Crisis has made the less-than-truckload (LTL) industry face with severe challenges of survival and development. More and more small and medium-sized LTL carriers choose to collaborate as the potential savings are large, often in the range 5–15%. A key question is how to distribute profits/savings among the participants. Since every LTL carriers are guided by their own self-interests and their contributions to the collaboration are quite different, the proposed allocation method should be a collectively and individually desirable solution. In this paper, we firstly analyze the profit opportunities from collaboration and present mechanisms to realize these benefits by two illustrative examples. Based on the cooperative game theory, we formulate the LTL collaboration game and discuss the well-known profit allocation concepts including Proportional Allocation, Shapley value and Nucleolus. We then propose a new al-location method named Weighted Relative Savings Model (WRSM) which is in the core and minimizes the maximum difference between weighted relative savings among the participants. Simulation result for real-life instances shows the effectiveness of WRSM.

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P. Liu, Y. Wu and N. Xu, "Allocating Collaborative Profit in Less-than-Truckload Carrier Alliance," Journal of Service Science and Management, Vol. 3 No. 1, 2010, pp. 143-149. doi: 10.4236/jssm.2010.31018.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] O. O. Ozener, “Collaboration in transportation,” PhD thesis, Georgia Institute of Technology, Atlanta, GA, USA, 2008.
[2] F. Cruijssen and M. Salomon, “Empirical study: Order sharing between transportation companies may result in cost reductions between 5 to 15 percent,” CentER Discussion Paper, 2004, http://ideas.repec.org/p/dgr/kubcen/200480.html.
[3] O. Ergun, G. Kuyzu, and M. Savelsbergh, “Shipper Collaboration,” Computers & Operations Research, No. 34, pp. 1551–1560, 2007.
[4] O. Ergun, G. Kuyzu, and M. Savelsbergh, “Reducing truckload transportation costs through collaboration,” Transportation Science, No. 41, pp. 206–221, 2007.
[5] M. Krajewska and H. Kopfer, “Horizontal cooperation among freight carriers: Request allocation and profit Sharing,” Journal of the Operational Research Society, No. 59, pp. 1483–1491, 2008.
[6] P. Strozniak, “Collaborative logistics: Overcoming its challenges can lower transportation and inventory costs and reduce stockouts,” Frontline Solutions, 2003, http://www.frontlinetoday.com.
[7] M. Sakawa, I. Nishizaki, and Y. Uemura, “Fuzzy programming and profit and cost allocation for a production and transportation problem,” European Journal of Operational Research, No. 131, pp. 1–15, 2001.
[8] J. Sanchez-Soriano, M. A. Lopez, and I. Garcia-Jurado, “On the core of transportation games,” Mathematical Social Sciences, No. 41, pp. 215–225, 2001.
[9] J. Sanchez-Soriano, N. Llorce, A. Meca, and E. Molina, “An integrated transport system for Alacant’s students,” Annals of Operations Research, No. 109, pp. 41–60, 2002.
[10] S. Engevall, M. Gothe-Lundgren, and P. Varbrand, “The heterogeneous vehicle-routing game,” Transportation Science, No. 38, pp. 71–85, 2004.
[11] N. Matsubayashi, M. Umezawa, Y. Masuda, and H. Nishino, “A cost allocation problem arising in hub–spoke network systems,” European Journal of Operational Research, No. 160, pp. 821–838, 2005.
[12] L. S. Shapley, “A value for n-person games,” Annals of Mathematical Studies, No. 28, pp. 307–317, 1953.
[13] H. P. Young, “Cost allocation: Methods, principles, applications,” European Journal of Operational Research, No. 27, pp. 254–255, 1986.
[14] D. Schmeidler, “Nucleolus of a characteristic function game,” Siam Journal on Applied Mathematics, No. 17, pp. 1163–1170, 1969.

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