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Billy M. Williams

Researcher at North Carolina State University

Publications -  71
Citations -  4894

Billy M. Williams is an academic researcher from North Carolina State University. The author has contributed to research in topics: Traffic flow & Autoregressive integrated moving average. The author has an hindex of 21, co-authored 70 publications receiving 3869 citations. Previous affiliations of Billy M. Williams include Korea Transport Institute & University of Nebraska–Lincoln.

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Modeling and Forecasting Vehicular Traffic Flow as a Seasonal ARIMA Process: Theoretical Basis and Empirical Results

TL;DR: The theoretical basis for modeling univariate traffic condition data streams as seasonal autoregressive integrated moving average processes as well as empirical results using actual intelligent transportation system data are presented and found to be consistent with the theoretical hypothesis.
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Comparison of parametric and nonparametric models for traffic flow forecasting

TL;DR: This research effort seeks to examine the theoretical foundation of nonparametric regression and to answer the question of whether non parametric regression based on heuristically improved forecast generation methods approach the single interval traffic flow prediction performance of seasonal ARIMA models.
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Adaptive Kalman filter approach for stochastic short-term traffic flow rate prediction and uncertainty quantification

TL;DR: Empirical comparisons using real world traffic flow data aggregated at 15-min interval showed that the adaptive Kalman filter approach can generate workable level forecasts and prediction intervals and demonstrates improved adaptability when traffic is highly volatile.
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Urban freeway traffic flow prediction: application of seasonal autoregressive integrated moving average and exponential smoothing models

TL;DR: In this paper, the application of seasonal time series models to the single-interval traffic flow forecasting problem for urban freeways is addressed and the best-fit Winters exponential smoothing models are also developed for each site.
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Multivariate Vehicular Traffic Flow Prediction: Evaluation of ARIMAX Modeling

TL;DR: The results indicate that ARIMAX models provide improved forecast performance over univariate forecast models, but further research is needed to investigate model extensions and refinements to provide a generalizable, self-tuning multivariate forecasting model that is easily implemented and that effectively models varying upstream to downstream correlations.