Sixth International Conference on Transportation Engineering
A Logistics Network Assignment Method with Dual Equilibrium
Publication: ICTE 2019
ABSTRACT
This paper established a three-tier logistics network consisting of carriers, logistics providers, and shippers. The logistics products flow in the network. There is competition in the same tier and cooperation between the distinct tiers. We use Nash equilibrium to analyze the optimal decision behaviors of the carriers and the logistics providers, and we use user equilibrium to analyze the choice behaviors of the shippers. The variational inequality problem describes their optimality/equilibrium conditions. The equilibrium assignment model of the logistics network is established when the tiers are in the equilibrium state. Finally, a numerical example is given. The example indicates that the model and the algorithm are effective.
Get full access to this chapter
View all available purchase options and get full access to this chapter.
REFERENCES
Beckmann, M. J., Mcguire, C. B., and Winsten, C. B. (1956). Studies in the Economics of Transportation, Yale University Press, New Haven.
Daganzo, C. F., and Sheffi, Y. (1977). “On stochastic models of traffic assignment.” Transportation Science, 11(3), 253-274.
DONG, J., Zhang, D., and Nagurney, A. (2002). Transportation and Traffic Theory in the 21st Century, M. A. P. Taylor, Pergamon.
DONG, J., Zhang, D., and Nagurney, A. (2004). “A supply chain network equilibrium model with random demands.” European Journal of Operational Research, 156(1), 194-212.
LU, Y. F., Zhang, G. T., Sun, H., and Zhong, Y. G. (2018). “Dual-channel Supply Chain Network Equilibrium Model Considering Carbon Tax and Product Green Degree.” Mathematics in Practice and theory, 48(22), 53-64.
Nagurney, A. (1999). Network economics: A variational inequality approach, Kluwer Academic Publishers, Dordrecht.
Nagurney, A., Dong, J., and Zhang, D. A. (2002). “A supply chain network equilibrium model.” Transportation Research Part E, 38(5), 281-303.
Nagurney, A. (2006). “On the relationship between supply chain and transportation network equilibria: A supernetwork equivalence with computations.” Transportation Research Part E, 42(4), 293-316.
SUN, J. Y., TENG, C. X., and CHEN, Z. B. (2014). “Multi-period Closed-loop Supply Chain Network Equilibrium Model with Product Remanufacturing.” Operations Research and Management Science, 23(4), 25-32.
TENG, C. X., YAO, F. M., HU, X. W. (2007) “Study on multi-commodity flow supply chain network equilibrium model with random demand.” System Engineering-Theory & Practice, 27(10), 77-83.
Wardrop, J. G. Road Engineering Division Meeting. (1952). “Some Theoretical Aspects of Road Traffic Research.”, 325-378.
Information & Authors
Information
Published In
ICTE 2019
Pages: 735 - 744
Editors: Xiaobo Liu, Ph.D., Southwest Jiaotong University, Qiyuan Peng, Ph.D., Southwest Jiaotong University, and Kelvin C. P. Wang, Ph.D., Oklahoma State University
ISBN (Online): 978-0-7844-8274-2
Copyright
© 2020 American Society of Civil Engineers.
History
Published online: Jan 13, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.