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Prediction of intercity freight flows, II: Mathematical formulations


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

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    Bibliographic Info

    Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

    Volume (Year): 20 (1986)
    Issue (Month): 2 (April)
    Pages: 155-174

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    Handle: RePEc:eee:transb:v:20:y:1986:i:2:p:155-174

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    Cited by:
    1. 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.
    2. 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.
    3. 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.
    4. Crainic, Teodor Gabriel & Laporte, Gilbert, 1997. "Planning models for freight transportation," European Journal of Operational Research, Elsevier, vol. 97(3), pages 409-438, March.
    5. 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.
    6. 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.
    7. 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.


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