Calibration and validation have long been a significant topic in traffic model development. In fact, when moving to dynamic traffic assignment (DTA) models, the need to dynamically update the demand and supply components creates a considerable burden on the existing calibration algorithms, often rendering them impractical. These calibration approaches are mostly restricted either due to non-linearity or increasing problem dimensionality. Simultaneous perturbation stochastic approximation (SPSA) has been proposed for the DTA model calibration, with encouraging results, for more than a decade. However, it often fails to converge reasonably with the increase in problem size and complexity. In this paper, we combine SPSA with principal components analysis (PCA) to form a new algorithm, we call, PC–SPSA. The PCA limits the search area of SPSA within the structural relationships captured from historical estimates in lower dimensions, reducing the problem size and complexity. We formulate the algorithm, demonstrate its operation, and explore its performance using an urban network of Vitoria, Spain. The practical issues that emerge from the scale of different variables and bounding their values are also analyzed through a sensitivity analysis using a non-linear synthetic function.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    PC–SPSA: Employing Dimensionality Reduction to Limit SPSA Search Noise in DTA Model Calibration


    Contributors:


    Publication date :

    2020-04-01


    Size :

    3014285 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    SPSA Algorithm for Parachute Parameter Estimation

    Kothandaraman, Govindarajan / Rotea, Mario | AIAA | 2003


    Demand Calibration of Multimodal Microscopic Traffic Simulation using Weighted Discrete SPSA

    Oh, Simon / Seshadri, Ravi / Azevedo, Carlos Lima et al. | Transportation Research Record | 2019


    SPSA/SIMMOD Optimization of Air Traffic Delay Cost

    Kleinman, N. L. / Hill, S. D. / Ilenda, V. A. et al. | British Library Conference Proceedings | 1999



    Developing insight into effective SPSA parameters through sensitivity analysis

    Markou, Ioulia / Antoniou, Constantinos | IEEE | 2015