A discrete time model is presented for dynamic traffic 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.
CITATION STYLE
Merchant, D. K., & Nemhauser, G. L. (1978). MODEL AND AN ALGORITHM FOR THE DYNAMIC TRAFFIC ASSIGNMENT PROBLEMS. Transp Sci, 12(3), 183–199. https://doi.org/10.1287/trsc.12.3.183
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