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Solving the dynamic traffic assignment problem on a hypercube multicomputer

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  • Ho, James K.

Abstract

We consider a dynamic traffic assignment problem in which congestion is modeled explicitly. It has been shown previously that the piecewise linearized problem can be solved by a sequence of linear programs. However, for the dynamic control of traffic networks, the dimensions of the resulting problems are likely to be prohibitive. Since the linear programs have the staircase structure, we propose to apply nested decomposition algorithms. The approach becomes particularly attractive with the advent of computers with multiple processors as the subproblems can be solved concurrently. In this paper, we demonstrate this application on an Intel iPSC/2 hypercube computer.

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  • Ho, James K., 1990. "Solving the dynamic traffic assignment problem on a hypercube multicomputer," Transportation Research Part B: Methodological, Elsevier, vol. 24(6), pages 443-451, December.
    • Handle: RePEc:eee:transb:v:24:y:1990:i:6:p:443-451
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    Cited by:

    1. Tong, C. O. & Wong, S. C., 2000. "A predictive dynamic traffic assignment model in congested capacity-constrained road networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 625-644, November.
    2. Lam, William H. K. & Huang, Hai-Jun, 1995. "Dynamic user optimal traffic assignment model for many to one travel demand," Transportation Research Part B: Methodological, Elsevier, vol. 29(4), pages 243-259, August.
    3. Cruz, F.R.B. & van Woensel, T. & MacGregor Smith, J. & Lieckens, K., 2010. "On the system optimum of traffic assignment in M/G/c/c state-dependent queueing networks," European Journal of Operational Research, Elsevier, vol. 201(1), pages 183-193, February.

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