Trip Assignment

Consider you have the following traffic network.

The O-D traffic volumes are as follows:

O/D Traffic 1 2 3 4
1 0 100 100 100
2 0 0 50 50
3 0 0 0 100
4 0 0 0 0

Link attributes are as follows:

Link 1 2 3 4 5
T0 10 15 3 5 4
Capacity 300 500 150 200 200

The volume-delay function is as follows (where t_0 is the free-flow travel time and t is the adjusted travel time): \[t=\frac{t_0}{1-v/c}\]

  1. Calculate the all-or-nothing assignment results.

  2. Calculate the incremental assignment results. Assume link assignment ordering is 1-2, 1-4, 2-3, 3-4,2-4, 1-3.

  3. Calculate the DUE assignment results. Use lambda equal to 0, 1/3, 2/3, and 1 rather than Excel Solver. Use the minimum cost result in each iteration.