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A Model and an Algorithm for the Dynamic Traffic Assignment Problems

Author

Listed:
  • Deepak K. Merchant

    (Stanford Research Institute, Menlo Park, California)

  • George L. Nemhauser

    (Cornell University, Ithaca, New York)

Abstract
A discrete time model is presented for dynamic traffice assignment with a single destination. Congestion is treated explicitly in the flow equations. The model is a nonlinear and nonconvex mathematical programming problem. A piecewise linear version of the model, with additional assumptions on the objective function, can be solved for a global optimum using a one-pass simplex algorithm---branch-and-bound is not required. The piecewise linear program has a staircase structure and can be solved by decomposition techniques or compactification methods for sparse matrices.

Suggested Citation

  • Deepak K. Merchant & George L. Nemhauser, 1978. "A Model and an Algorithm for the Dynamic Traffic Assignment Problems," Transportation Science, INFORMS, vol. 12(3), pages 183-199, August.
    • Handle: RePEc:inm:ortrsc:v:12:y:1978:i:3:p:183-199
    DOI: 10.1287/trsc.12.3.183
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