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Transport Modelling Matrix adjustment

This document explores the intricacies of matrix adjustment in transport modelling, highlighting the discrepancies between models and real-world scenarios. It discusses the limitations of models that only account for a subset of total trips and recognizes inherent uncertainties. Key topics include the method of adjusting matrices to meet row and column totals, utilizing traffic counts for calibration, and iteratively aligning trip matrices. Methods like Fratar, Furness, and Iterative Proportional Fitting are reviewed for their applicability in adjusting transport data across multiple dimensions.

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Transport Modelling Matrix adjustment

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  1. Transport Modelling Matrix adjustment AH2302 Transport Modelling SA

  2. 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

  3. Example Adjustment to total: T’ij = Tij * Target/STij Adjustment to row totals: T’ij = Tij * Targeti/SOi AH2302 Transport Modelling SA

  4. 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

  5. Example

  6. AH2302 Transport Modelling SA

  7. Matrix adjustment • Can be applied in several dimensions (like trip length) • Fratar • Furness • Matrix Balancing • Iterative Proportional Fitting AH2302 Transport Modelling SA

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