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An equivalent optimization problem for combined multiclass distribution, assignment and modal split which obviates symmetry restrictions

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  • Friesz, Terry L.

Abstract

This paper presents a model for combined multiclass trip distribution, trip assignment and modal split. Although this model is based on an equivalent optimization problem, it avoids the symmetry restrictions heretofore always associated with such approaches to multiclass trip assignment. This is accomplished by expressing Wardrop's first principle as a set of nonlinear constraints in standard mathematical programming form. An algorithm is proposed, each iteration of which requires solving a nonlinear program with linear constraints.

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  • Friesz, Terry L., 1981. "An equivalent optimization problem for combined multiclass distribution, assignment and modal split which obviates symmetry restrictions," Transportation Research Part B: Methodological, Elsevier, vol. 15(5), pages 361-369, October.
    • Handle: RePEc:eee:transb:v:15:y:1981:i:5:p:361-369
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    Cited by:

    1. Yao, Jia & Chen, Anthony & Ryu, Seungkyu & Shi, Feng, 2014. "A general unconstrained optimization formulation for the combined distribution and assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 137-160.
    2. Xu, Meng & Chen, Anthony & Gao, Ziyou, 2008. "An improved origin-based algorithm for solving the combined distribution and assignment problem," European Journal of Operational Research, Elsevier, vol. 188(2), pages 354-369, July.
    3. Lam, William H. K. & Tam, M. L., 1997. "Why standard modelling and evaluation procedures are inadequate for assessing traffic congestion measures," Transport Policy, Elsevier, vol. 4(4), pages 217-223, October.
    4. Mohamad Hasan & Hussain Dashti, 2007. "A Multiclass Simultaneous Transportation Equilibrium Model," Networks and Spatial Economics, Springer, vol. 7(3), pages 197-211, September.
    5. Yang, Fan & Zhang, Ding, 2009. "Day-to-day stationary link flow pattern," Transportation Research Part B: Methodological, Elsevier, vol. 43(1), pages 119-126, January.
    6. Friesz, Terry L. & Shah, Samir, 2001. "An overview of nontraditional formulations of static and dynamic equilibrium network design," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 5-21, January.

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