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Transport Modelling Matrix adjustment. Model and reality may differ. The model concerns only part of total trips The model contains uncertainties The model is not quite correct Restrictions at an aggregate level may be known Matrix adjustment wrt row- and column totals Current situation
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Transport Modelling Matrix adjustment AH2302 Transport Modelling SA
Model and reality may differ • The model concerns only part of total trips • The model contains uncertainties • The model is not quite correct • Restrictions at an aggregate level may be known • Matrix adjustment wrt row- and column totals • Current situation • Forecast • Traffic counts are often available • Matrix adjustment wrt counts • Calibration AH2302 Transport Modelling SA
Example Adjustment to total: T’ij = Tij * Target/STij Adjustment to row totals: T’ij = Tij * Targeti/SOi AH2302 Transport Modelling SA
Adjustment to row and column totals Destination Origin Oi O’i Iteratively Tk+1ij = Tkij*O’ij/Oki Tk+2ij = Tk+1ij*D’ij/Dk+1i Work trip matrix Tij Requires SO’i = SD’i Di D’i AH2302 Transport Modelling SA
Matrix adjustment • Can be applied in several dimensions (like trip length) • Fratar • Furness • Matrix Balancing • Iterative Proportional Fitting AH2302 Transport Modelling SA