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Prediction of intercity freight flows, II: Mathematical formulations

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  • Harker, Patrick T.
  • Friesz, Terry L.

Abstract

This paper presents alternative mathematical representations of the predictive intercity freight model developed by Harker and Friesz (1986). A nonlinear complementary formulation is developed and is then used to develop criteria for the existence and uniqueness of a solution to this model. A variational inequality formulation of the model is also developed, and its relationship to an equivalent optimization problem is demonstrated.

Suggested Citation

  • Harker, Patrick T. & Friesz, Terry L., 1986. "Prediction of intercity freight flows, II: Mathematical formulations," Transportation Research Part B: Methodological, Elsevier, vol. 20(2), pages 155-174, April.
    • Handle: RePEc:eee:transb:v:20:y:1986:i:2:p:155-174
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    1. Zhao, Miyuan & Chow, Joseph Y.J. & Ritchie, Stephen G., 2015. "An inventory-based simulation model for annual-to-daily temporal freight assignment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 83-101.
    2. Boile, Maria & Theofanis, Sotirios & Spasovic, Lazar, 2006. "The Role Of Various Players In The Port Industry – Theory And Practice," 47th Annual Transportation Research Forum, New York, New York, March 23-25, 2006 208028, Transportation Research Forum.
    3. Bell, Michael G.H. & Liu, Xin & Angeloudis, Panagiotis & Fonzone, Achille & Hosseinloo, Solmaz Haji, 2011. "A frequency-based maritime container assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1152-1161, September.
    4. Friesz, Terry L. & Suo, Zhong-Gui & Bernstein, David H., 1998. "A dynamic disequilibrium interregional commodity flow model," Transportation Research Part B: Methodological, Elsevier, vol. 32(7), pages 467-483, September.
    5. Shibasaki, Ryuichi & Ieda, Hitoshi & Watanabe, Tomihiro, 2005. "An International Container Shipping Model in East Asia and its Transferability," Research in Transportation Economics, Elsevier, vol. 13(1), pages 299-336, January.
    6. Shuangyan Li & Yijing Liang & Zhenjie Wang & Dezhi Zhang, 2021. "An Optimization Model of a Sustainable City Logistics Network Design Based on Goal Programming," Sustainability, MDPI, vol. 13(13), pages 1-20, July.
    7. Jones, Dean A. & Farkas, Julie L. & Bernstein, Orr & Davis, Chad E. & Turk, Adam & Turnquist, Mark A. & Nozick, Linda K. & Levine, Brian & Rawls, Carmen G. & Ostrowski, Scott D. & Sawaya, William, 2011. "U.S. import/export container flow modeling and disruption analysis," Research in Transportation Economics, Elsevier, vol. 32(1), pages 3-14.
    8. Yamada, Tadashi & Febri, Zukhruf, 2015. "Freight transport network design using particle swarm optimisation in supply chain–transport supernetwork equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 164-187.
    9. Hensher, David A. & Teye, Collins, 2019. "Commodity interaction in freight movement models for New South Wales," Journal of Transport Geography, Elsevier, vol. 80(C).
    10. Nagurney, Anna & Shukla, Shivani & Nagurney, Ladimer S. & Saberi, Sara, 2018. "A game theory model for freight service provision security investments for high-value cargo," Economics of Transportation, Elsevier, vol. 16(C), pages 21-28.
    11. Chow, Joseph Y.J. & Ritchie, Stephen G. & Jeong, Kyungsoo, 2014. "Nonlinear inverse optimization for parameter estimation of commodity-vehicle-decoupled freight assignment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 71-91.
    12. Baindur, Deepak & Viegas, José Manuel, 2011. "An agent based model concept for assessing modal share in inter-regional freight transport markets," Journal of Transport Geography, Elsevier, vol. 19(6), pages 1093-1105.
    13. Friesz, Terry L. & Rigdon, Matthew A. & Mookherjee, Reetabrata, 2006. "Differential variational inequalities and shipper dynamic oligopolistic network competition," Transportation Research Part B: Methodological, Elsevier, vol. 40(6), pages 480-503, July.
    14. Crainic, Teodor Gabriel & Laporte, Gilbert, 1997. "Planning models for freight transportation," European Journal of Operational Research, Elsevier, vol. 97(3), pages 409-438, March.
    15. Friesz, Terry L. & Mookherjee, Reetabrata & Holguín-Veras, José & Rigdon, Matthew A., 2008. "Dynamic pricing in an urban freight environment," Transportation Research Part B: Methodological, Elsevier, vol. 42(4), pages 305-324, May.
    16. Shen, Guoqiang & Zhou, Long & Aydin, Saniye Gizem, 2020. "A multi-level spatial-temporal model for freight movement: The case of manufactured goods flows on the U.S. highway networks," Journal of Transport Geography, Elsevier, vol. 88(C).
    17. Bell, Michael G.H. & Liu, Xin & Rioult, Jeremy & Angeloudis, Panagiotis, 2013. "A cost-based maritime container assignment model," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 58-70.
    18. Li, Xinyan & Xie, Chi & Bao, Zhaoyao, 2022. "A multimodal multicommodity network equilibrium model with service capacity and bottleneck congestion for China-Europe containerized freight flows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    19. Caggiani, Leonardo & Ottomanelli, Michele & Dell’Orco, Mauro, 2014. "Handling uncertainty in Multi Regional Input-Output models by entropy maximization and fuzzy programming," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 71(C), pages 159-172.

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