Technical Papers
Feb 16, 2023

Probabilistic Prediction of Trip Travel Time and Its Variability Using Hierarchical Bayesian Learning

Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9, Issue 2

Abstract

This paper proposes a probabilistic machine learning methodology to predict travel time and its variability for trips between locations in New York City. First, a hierarchical Bayesian generalized linear regression model was trained to estimate predictive distribution of the trip’s unit-distance travel time conditional on trip features. This intermediate step isolates the effect of trip distance to capture the impact of traffic conditions and other covariates on trip travel time. Then, trip travel time and its variability were obtained given the predictive distribution of normalized travel time and the trip’s fastest path distance. Specifically, a Bayesian regression model with varying coefficients was fitted to capture the effect of temporal variations of traffic conditions and spatial effect of geographic regions on model parameters and in turn on trip travel time. The model was trained using New York City ambulance and taxi trip data and its performance was verified with benchmarks methods. Although it shows promising performance, the proposed methodological framework estimates the posterior distributions of the model’s interpretable parameters and eventually estimates the predictive distributions for trip travel times. The estimated distributions are required for uncertainty quantification to make more reliable decisions in traffic management and traffic control strategies and achieve proactive enhancement in the transportation systems. The proposed approach emphasizes the potential use of origin-destination trip data for travel time prediction, quantifying its spatiotemporal variations, and capturing the predictive uncertainties, which are central to operational transportation systems’ design and performance evaluation.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All models and code used during the study are available from the corresponding author upon reasonable request. Ambulance and DCAS data are restricted and not available for the public. The taxi data are publicly available.

Acknowledgments

The authors acknowledge the Bureau of Management Analysis and Planning at the FDNY and the support from Google and the Tides Foundation under the grant “EMS Resource Deployment Modeling” and the Columbia University Urban Technology Pilot Award.

References

Abdollahi, M., T. Khaleghi, and K. Yang. 2020. “An integrated feature learning approach using deep learning for travel time prediction.” Expert Syst. Appl. 139 (Jan): 112864. https://doi.org/10.1016/j.eswa.2019.112864.
Alrassy, P., J. Jang, and A. W. Smyth. 2021. “OBD-data-assisted cost-based map-matching algorithm for low-sampled telematics data in urban environments.” IEEE Trans. Intell. Transp. Syst. 23 (8): 12094–12107. https://doi.org/10.1109/TITS.2021.3109851.
Altmann, A., L. Toloşi, O. Sander, and T. Lengauer. 2010. “Permutation importance: A corrected feature importance measure.” Bioinformatics 26 (10): 1340–1347. https://doi.org/10.1093/bioinformatics/btq134.
Bertsimas, D., A. Delarue, P. Jaillet, and S. Martin. 2019. “Travel time estimation in the age of big data.” Oper. Res. 67 (2): 498–515. https://doi.org/10.1287/opre.2018.1784.
Billings, D., and J.-S. Yang. 2006. “Application of the Arima models to urban roadway travel time prediction—A case study.” In Vol. 3 of Proc., IEEE Int. Conf. on Systems, Man and Cybernetics, 2529–2534. New York: IEEE.
Blei, D. M., A. Kucukelbir, and J. D. McAuliffe. 2017. “Variational inference: A review for statisticians.” J. Am. Stat. Assoc. 112 (518): 859–877. https://doi.org/10.1080/01621459.2017.1285773.
Brandes, U. 2008. “On variants of shortest-path betweenness centrality and their generic computation.” Social Networks 30 (2): 136–145. https://doi.org/10.1016/j.socnet.2007.11.001.
Budge, S., A. Ingolfsson, and D. Zerom. 2010. “Empirical analysis of ambulance travel times: The case of Calgary emergency medical services.” Manage. Sci. 56 (4): 716–723. https://doi.org/10.1287/mnsc.1090.1142.
Chen, M., and S. I. Chien. 2001. “Dynamic freeway travel-time prediction with probe vehicle data: Link based versus path based.” Transp. Res. Rec. 1768 (1): 157–161. https://doi.org/10.3141/1768-19.
Chen, P., R. Tong, G. Lu, and Y. Wang. 2018. “Exploring travel time distribution and variability patterns using probe vehicle data: Case study in Beijing.” J. Adv. Transp. 2018: 13. https://doi.org/10.1155/2018/3747632.
Chen, T., and C. Guestrin. 2016. “Xgboost: A scalable tree boosting system.” In Proc., 22nd ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, 785–794. New York: Association for Computing Machinery. https://doi.org/10.1145/2939672.2939785.
Colombo, N., R. Silva, and S. M. Kang. 2017. “Tomography of the London underground: A scalable model for origin-destination data.” In Vol. 30 of Proc., Advances in Neural Information Processing Systems, edited by I. Guyon, U. Von Luxburg, S. Bengio, H. Wallach, R. Fergus, S. Vishwanathan, and R. Garnett. New York: Curran Associates.
de Dios Ortúzar, J. 2021. “Future transportation: Sustainability, complexity and individualization of choices.” Commun. Transp. Res. 1 (1): 100010. https://doi.org/10.1016/j.commtr.2021.100010.
de Larrea, E. L., et al. 2021. “Simulating New York city hospital load balancing during covid-19.” In Proc., 2021 Winter Simulation Conf. (WSC), 1–12. New York: IEEE.
Derrow-Pinion, A., et al. 2021. “ETA prediction with graph neural networks in Google maps.” In Proc., 30th ACM Int. Conf. on Information & Knowledge Management, 3767–3776. New York: Association for Computing Machinery. https://doi.org/10.1145/3459637.3481916.
Dijkstra, E. W., et al. 1959. “A note on two problems in connexion with graphs.” Numer. Math. 1 (1): 269–271. https://doi.org/10.1007/BF01386390.
Duan, T., A. Anand, D. Y. Ding, K. K. Thai, S. Basu, A. Ng, and A. Schuler. 2020. “Ngboost: Natural gradient boosting for probabilistic prediction.” In Proc., 37th Int. Conf. on Machine Learning, 2690–2700. Stanford, CA: Stanford Univ.
Fan, S.-K. S., C.-J. Su, H.-T. Nien, P.-F. Tsai, and C.-Y. Cheng. 2018. “Using machine learning and big data approaches to predict travel time based on historical and real-time data from Taiwan electronic toll collection.” Soft Comput. 22 (17): 5707–5718. https://doi.org/10.1007/s00500-017-2610-y.
Freeman, L. C. 1977. “A set of measures of centrality based on betweenness.” Sociometry 40 (1): 35–41. https://doi.org/10.2307/3033543.
Gelman, A., J. B. Carlin, H. S. Stern, and D. B. Rubin. 1995. Bayesian data analysis. Boca Raton, FL: CRC Press.
Gelman, A., and J. Hill. 2006. Data analysis using regression and multilevel/hierarchical models. Cambridge, UK: Cambridge University Press.
Gressai, M., B. Varga, T. Tettamanti, and I. Varga. 2021. “Investigating the impacts of urban speed limit reduction through microscopic traffic simulation.” Commun. Transp. Res. 1 (Dec): 100018. https://doi.org/10.1016/j.commtr.2021.100018.
Guo, G., and T. Zhang. 2020. “A residual spatio-temporal architecture for travel demand forecasting.” Transp. Res. Part C: Emerging Technol. 115 (Jun): 102639. https://doi.org/10.1016/j.trc.2020.102639.
Hagberg, A., P. Swart, and D. S. Chult. 2008. Exploring network structure, dynamics, and function using NetworkX. Los Alamos, NM: Los Alamos National Lab.
Hamner, B. 2010. “Predicting travel times with context-dependent random forests by modeling local and aggregate traffic flow.” In Proc., IEEE Int. Conf. on Data Mining Workshops, 1357–1359. New York: IEEE.
Henry, E., L. Bonnetain, A. Furno, N.-E. El Faouzi, and E. Zimeo. 2019. “Spatio-temporal correlations of betweenness centrality and traffic metrics.” In Proc., 2019 6th Int. Conf. on Models and Technologies for Intelligent Transportation Systems (MT-ITS), 1–10. New York: IEEE.
Herman, R., and T. Lam. 1974. “Trip time characteristics of journeys to and from work.” Transp. Traffic Theory 6: 57–86.
Hong, S.-P., K. Kim, G. Byeon, and Y.-H. Min. 2017. “A method to directly derive taste heterogeneity of travellers’ route choice in public transport from observed routes.” Transp. Res. Part B: Methodol. 95 (Jan): 41–52. https://doi.org/10.1016/j.trb.2016.10.012.
Huang, H., M. Pouls, A. Meyer, and M. Pauly. 2020. “Travel time prediction using tree-based ensembles.” In Proc., Int. Conf. on Computational Logistics, 412–427. Cham, Switzerland: Springer.
Hunter, T., R. Herring, P. Abbeel, and A. Bayen. 2009. “Path and travel time inference from GPS probe vehicle data.” NIPS Analyzing Network Learn. Graphs 12 (1): 2.
Idé, T., and S. Kato. 2009. “Travel-time prediction using Gaussian process regression: A trajectory-based approach.” In Proc., 2009 SIAM Int. Conf. on Data Mining, 1185–1196. New Delhi, India: Society for Industrial and Applied Mathematics.
Jenelius, E., and H. N. Koutsopoulos. 2013. “Travel time estimation for urban road networks using low frequency probe vehicle data.” Transp. Res. Part B: Methodol. 53 (Jul): 64–81. https://doi.org/10.1016/j.trb.2013.03.008.
Ke, G., Q. Meng, T. Finley, T. Wang, W. Chen, W. Ma, Q. Ye, and T.-Y. Liu. 2017. “Lightgbm: A highly efficient gradient boosting decision tree.” In Advances in neural information processing systems, 30. San Mateo, CA: Morgan Kaufmann.
Kidando, E., R. Moses, M. Ghorbanzadeh, and E. E. Ozguven. 2018. “Traffic operation and safety analysis on an arterial highway: Implications for connected vehicle applications.” In Proc., 2018 21st Int. Conf. on Intelligent Transportation Systems (ITSC), 2753–2758. New York: IEEE.
Kim, J., and H. S. Mahmassani. 2014. “A finite mixture model of vehicle-to-vehicle and day-to-day variability of traffic network travel times.” Transp. Res. Part C: Emerging Technol. 46 (Sep): 83–97. https://doi.org/10.1016/j.trc.2014.05.011.
Kucukelbir, A., R. Ranganath, A. Gelman, and D. Blei. 2015. “Automatic variational inference in Stan.” In Advances in neural information processing systems, 28. San Mateo, CA: Kaufmann.
Kwon, J., and K. Petty. 2005. “Travel time prediction algorithm scalable to freeway networks with many nodes with arbitrary travel routes.” Transp. Res. Rec. 1935 (1): 147–153. https://doi.org/10.1177/0361198105193500117.
Leshem, G., and Y. Ritov. 2007. “Traffic flow prediction using adaboost algorithm with random forests as a weak learner.” Int. J. Math. Comput. Sci. 1 (1): 1–6.
Li, D., T. Miwa, T. Morikawa, and P. Liu. 2016. “Incorporating observed and unobserved heterogeneity in route choice analysis with sampled choice sets.” Transp. Res. Part C: Emerging Technol. 67 (Jun): 31–46. https://doi.org/10.1016/j.trc.2016.02.002.
Li, X., and R. Bai. 2016. “Freight vehicle travel time prediction using gradient boosting regression tree.” In Proc., 2016 15th IEEE Int. Conf. on Machine Learning and Applications (ICMLA), 1010–1015. New York: IEEE.
Mahmassani, H. S., T. Hou, and J. Dong. 2012. “Characterizing travel time variability in vehicular traffic networks: Deriving a robust relation for reliability analysis.” Transp. Res. Rec. 2315 (1): 141–152. https://doi.org/10.3141/2315-15.
Mazloumi, E., G. Rose, G. Currie, and S. Moridpour. 2011. “Prediction intervals to account for uncertainties in neural network predictions: Methodology and application in bus travel time prediction.” Eng. Appl. Artif. Intell. 24 (3): 534–542. https://doi.org/10.1016/j.engappai.2010.11.004.
Mendes-Moreira, J., A. M. Jorge, J. F. de Sousa, and C. Soares. 2015. “Improving the accuracy of long-term travel time prediction using heterogeneous ensembles.” Neurocomputing 150 (Feb): 428–439. https://doi.org/10.1016/j.neucom.2014.08.072.
Mori, U., A. Mendiburu, M. Álvarez, and J. A. Lozano. 2015. “A review of travel time estimation and forecasting for advanced traveller information systems.” Transportmetrica A: Transp. Sci. 11 (2): 119–157. https://doi.org/10.1080/23249935.2014.932469.
Murphy, E., and J. E. Killen. 2011. “Commuting economy: An alternative approach for assessing regional commuting efficiency.” Urban Stud. 48 (6): 1255–1272. https://doi.org/10.1177/0042098010370627.
Nanthawichit, C., T. Nakatsuji, and H. Suzuki. 2003. “Application of probe-vehicle data for real-time traffic-state estimation and short-term travel-time prediction on a freeway.” Transp. Res. Rec. 1855 (1): 49–59. https://doi.org/10.3141/1855-06.
NCEI (National Centers for Environmental Information). 2022. “U.S. local climatological data.” Accessed May 1, 2022. https://www.ncei.noaa.gov/.
Nikovski, D., N. Nishiuma, Y. Goto, and H. Kumazawa. 2005. “Univariate short-term prediction of road travel times.” In Proc., 2005 IEEE Intelligent Transportation Systems, 1074–1079. New York: IEEE.
NYC Dept. of City Planning. 2022. “LION single line street base map.” Accessed December 14, 2022. https://www1.nyc.gov/site/planning/data-maps/open-data/dwn-lion.page.
Oh, S., Y.-J. Byon, K. Jang, and H. Yeo. 2015. “Short-term travel-time prediction on highway: A review of the data-driven approach.” Transp. Rev. 35 (1): 4–32. https://doi.org/10.1080/01441647.2014.992496.
Olivier, A., M. Adams, S. Mohammadi, A. Smyth, K. Thomson, T. Kepler, and M. Dadlani. 2022. “Data analytics for improved closest hospital suggestion for ems operations in New York city.” Sustainable Cities Soc. 86 (Nov): 104104. https://doi.org/10.1016/j.scs.2022.104104.
Pellicer-Valero, O. J., J. D. Martín-Guerrero, M. I. Cigarán-Méndez, C. Écija-Gallardo, C. Fernández-de-las Peñas, and E. Navarro-Pardo. 2020. “Mathematical modeling for neuropathic pain: Bayesian linear regression and self-organizing maps applied to carpal tunnel syndrome.” Symmetry 12 (10): 1581. https://doi.org/10.3390/sym12101581.
Qiu, B., and W. Fan. 2021. “Machine learning based short-term travel time prediction: Numerical results and comparative analyses.” Sustainability 13 (13): 7454. https://doi.org/10.3390/su13137454.
Rice, J., and E. Van Zwet. 2004. “A simple and effective method for predicting travel times on freeways.” IEEE Trans. Intell. Transp. Syst. 5 (3): 200–207. https://doi.org/10.1109/TITS.2004.833765.
Richardson, A., and M. Taylor. 1978. “Travel time variability on commuter journeys.” High Speed Ground Transp. J. 12 (1): 77–99.
Salvatier, J., T. V. Wiecki, and C. Fonnesbeck. 2016. “Probabilistic programming in Python using PyMC3.” PeerJ Comput. Sci. 2: e55. https://doi.org/10.7717/peerj-cs.55.
Schmitt, E. J., and H. Jula. 2007. “On the limitations of linear models in predicting travel times.” In Proc., 2007 IEEE Intelligent Transportation Systems Conf., 830–835. New York: IEEE.
Sun, H., C. Zhang, and B. Ran. 2004. “Interval prediction for traffic time series using local linear predictor.” In Proc., 7th Int. IEEE Conf. on Intelligent Transportation Systems, 410–415. New York: IEEE.
Sun, J., and J. Kim. 2021. “Joint prediction of next location and travel time from urban vehicle trajectories using long short-term memory neural networks.” Transp. Res. Part C: Emerging Technol. 128 (Jul): 103114. https://doi.org/10.1016/j.trc.2021.103114.
Taghipour, H., A. B. Parsa, and A. K. Mohammadian. 2020. “A dynamic approach to predict travel time in real time using data driven techniques and comprehensive data sources.” Transp. Eng. 2 (Dec): 100025. https://doi.org/10.1016/j.treng.2020.100025.
Taylor, M. 1982. “Travel time variability—The case of two public modes.” Transp. Sci. 16 (4): 507–521. https://doi.org/10.1287/trsc.16.4.507.
Wang, H., X. Tang, Y.-H. Kuo, D. Kifer, and Z. Li. 2019. “A simple baseline for travel time estimation using large-scale trip data.” ACM Trans. Intell. Syst. Technol. 10 (2): 1–22. https://doi.org/10.1145/3293317.
Wang, Y., Y. Zheng, and Y. Xue. 2014. “Travel time estimation of a path using sparse trajectories.” In Proc., 20th ACM SIGKDD Int. Conf. on Knowledge Discovery and Data Mining, 25–34. New York: Association for Computing Machinery. https://doi.org/10.1145/2623330.2623656.
Wang, Z., K. Fu, and J. Ye. 2018. “Learning to estimate the travel time.” In Proc., 24th ACM SIGKDD Int. Conf. on Knowledge Discovery & Data Mining, 858–866. New York: Association for Computing Machinery. https://doi.org/10.1145/3219819.3219900.
West, D. B., et al. 2001. Vol. 2 of Introduction to graph theory. Upper Saddle River, NJ: Prentice Hall.
Westgate, B. S., D. B. Woodard, D. S. Matteson, and S. G. Henderson. 2013. “Travel time estimation for ambulances using Bayesian data augmentation.” Ann. Appl. Stat. 7 (2): 1139–1161. https://doi.org/10.1214/13-AOAS626.
Westgate, B. S., D. B. Woodard, D. S. Matteson, and S. G. Henderson. 2016. “Large-network travel time distribution estimation for ambulances.” Eur. J. Oper. Res. 252 (1): 322–333. https://doi.org/10.1016/j.ejor.2016.01.004.
Yang, Y., Z. He, Z. Song, X. Fu, and J. Wang. 2018. “Investigation on structural and spatial characteristics of taxi trip trajectory network in Xi’an, China.” Physica A 506 (Sep): 755–766. https://doi.org/10.1016/j.physa.2018.04.096.
Zhang, X., and J. A. Rice. 2003. “Short-term travel time prediction.” Transp. Res. Part C: Emerging Technol. 11 (3–4): 187–210. https://doi.org/10.1016/S0968-090X(03)00026-3.
Zhang, Y., and A. Haghani. 2015. “A gradient boosting method to improve travel time prediction.” Transp. Res. Part C: Emerging Technol. 58 (Sep): 308–324. https://doi.org/10.1016/j.trc.2015.02.019.
Zhao, S., P. Zhao, and Y. Cui. 2017. “A network centrality measure framework for analyzing urban traffic flow: A case study of Wuhan, China.” Physica A 478 (Jul): 143–157. https://doi.org/10.1016/j.physa.2017.02.069.

Information & Authors

Information

Published In

Go to ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 9Issue 2June 2023

History

Received: Aug 12, 2022
Accepted: Dec 4, 2022
Published online: Feb 16, 2023
Published in print: Jun 1, 2023
Discussion open until: Jul 16, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, Dept. of Civil Engineering and Engineering Mechanics, Columbia Univ., New York, NY 10027. ORCID: https://orcid.org/0000-0001-5061-5626. Email: [email protected]
Audrey Olivier, M.ASCE [email protected]
Assistant Professor, Sonny Astani Dept. of Civil and Environmental Engineering, Univ. of Southern California, Los Angeles, CA 90089. Email: [email protected]
Professor, Dept. of Civil Engineering and Engineering Mechanics, Columbia Univ., New York, NY 10027 (corresponding author). ORCID: https://orcid.org/0000-0001-9037-306X. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Travel time reliability evaluation using fuzzy-possibility approach: a case study of an Indian city, Transportation Planning and Technology, 10.1080/03081060.2024.2341312, (1-19), (2024).
  • Bayesian neural networks with physics‐aware regularization for probabilistic travel time modeling, Computer-Aided Civil and Infrastructure Engineering, 10.1111/mice.13047, 38, 18, (2614-2631), (2023).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share