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Fig 1.

The test network used in the numerical example.

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Fig 1 Expand

Table 1.

The true and initial OD vector matrices.

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Table 1 Expand

Table 2.

Free flow travel time and capacity for each link.

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Table 2 Expand

Table 3.

True link flows in the hypothetical network.

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Table 3 Expand

Fig 2.

Convergence of the theta estimate.

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Fig 2 Expand

Fig 3.

Convergence of the objective function.

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Fig 3 Expand

Fig 4.

RMSE(OD) versus cvd and cvθ.

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Fig 4 Expand

Fig 5.

RMSE(LF) versus cvd and cvθ.

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Fig 5 Expand

Fig 6.

Estimated Theta versus cvd and cvθ.

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Fig 6 Expand

Table 4.

Comparison between Yang et al.’s approach and the proposed approach with OD matrix and link flow estimation.

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Table 4 Expand

Table 5.

Comparison between Lo and Chan’s approach and the proposed approach with OD matrix, link flow and Theta estimation.

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Table 5 Expand

Fig 7.

Square network in Seattle.

Double circle nodes represent zone centroids (origins and destinations).

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Fig 7 Expand

Fig 8.

Traffic flow fluctuation by time of day.

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Fig 8 Expand

Table 6.

BPR link performance cost function parameter calibration.

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Table 6 Expand

Table 7.

The external true traffic flow for each node at peak hour.

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Table 7 Expand

Table 8.

True OD matrix and initial OD matrix at peak hour for each OD pair.

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Table 8 Expand

Table 9.

Observed link flows at peak hour.

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Table 9 Expand

Fig 9.

RMSE(OD) versus cvd and cvθ in the actual network.

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Fig 9 Expand

Fig 10.

RMSE(LF) versus cvd and cvθ in the actual network.

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Fig 10 Expand

Fig 11.

Theta estimated versus cvd and cvθ in the actual network.

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Fig 11 Expand

Fig 12.

Estimated Theta values in the actual network by time of day.

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Fig 12 Expand