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Traffic Simulations: Multi-City Calibration of Metropolitan Highway Networks

Chao Zhang, Yechen Li, Neha Arora, Damien Pierce, Carolina Osorio

TL;DR

This work addresses calibrating origin-destination demand for metropolitan highway networks using high-resolution stochastic traffic simulators and abundant path travel-time data $y_p^{GT}$. It introduces a metamodel optimization that couples a differentiable surrogate $m_k(x;\beta_k)$ with a physics-based component $f_A(x)$ to approximate path travel times, enabling efficient optimization with few simulator calls. The approach is demonstrated through six-city, nine-hour calibrations (54 scenarios), achieving an average improvement of $43.5\%$ in ETA nRMSE over the SPSA benchmark and up to $80.0\%$ in some cases, illustrating strong scalability and robustness to initial points. The results underscore the practical potential for digital twins in mobility planning, offering scalable, data-efficient calibration that leverages readily available path ETAs to support congestion pricing, network design, and policy evaluation; future work includes multi-time-interval calibration and higher-order moment analysis of path ETAs.$

Abstract

This paper proposes an approach to perform travel demand calibration for high-resolution stochastic traffic simulators. It employs abundant travel times at the path-level, departing from the standard practice of resorting to scarce segment-level sensor counts. The proposed approach is shown to tackle high-dimensional instances in a sample-efficient way. For the first time, case studies on 6 metropolitan highway networks are carried out, considering a total of 54 calibration scenarios. This is the first work to show the ability of a calibration algorithm to systematically scale across networks. Compared to the state-of-the-art simultaneous perturbation stochastic approximation (SPSA) algorithm, the proposed approach enhances fit to field data by an average 43.5% with a maximum improvement of 80.0%, and does so within fewer simulation calls.

Traffic Simulations: Multi-City Calibration of Metropolitan Highway Networks

TL;DR

This work addresses calibrating origin-destination demand for metropolitan highway networks using high-resolution stochastic traffic simulators and abundant path travel-time data . It introduces a metamodel optimization that couples a differentiable surrogate with a physics-based component to approximate path travel times, enabling efficient optimization with few simulator calls. The approach is demonstrated through six-city, nine-hour calibrations (54 scenarios), achieving an average improvement of in ETA nRMSE over the SPSA benchmark and up to in some cases, illustrating strong scalability and robustness to initial points. The results underscore the practical potential for digital twins in mobility planning, offering scalable, data-efficient calibration that leverages readily available path ETAs to support congestion pricing, network design, and policy evaluation; future work includes multi-time-interval calibration and higher-order moment analysis of path ETAs.$

Abstract

This paper proposes an approach to perform travel demand calibration for high-resolution stochastic traffic simulators. It employs abundant travel times at the path-level, departing from the standard practice of resorting to scarce segment-level sensor counts. The proposed approach is shown to tackle high-dimensional instances in a sample-efficient way. For the first time, case studies on 6 metropolitan highway networks are carried out, considering a total of 54 calibration scenarios. This is the first work to show the ability of a calibration algorithm to systematically scale across networks. Compared to the state-of-the-art simultaneous perturbation stochastic approximation (SPSA) algorithm, the proposed approach enhances fit to field data by an average 43.5% with a maximum improvement of 80.0%, and does so within fewer simulation calls.
Paper Structure (8 sections, 3 equations, 2 figures, 2 tables)

This paper contains 8 sections, 3 equations, 2 figures, 2 tables.

Figures (2)

  • Figure 1: Highway network of the Seattle metropolitan area.
  • Figure 2: Difference $\Delta$ of metamodel relative to SPSA in terms of ETA nRMSE as a function of epochs.