Technical Papers
Jan 31, 2022

Weibull Distribution-Based Neural Network for Stochastic Capacity Estimation

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 148, Issue 4

Abstract

Capacity is an important traffic parameter, extending nonnegligible influence on road network planning, traffic management, and traffic state prediction. The stochasticity of capacity is widely accepted considering the stochastic nature of traffic flow. Previous studies studied stochastic capacity based on long-term observations, lasting for months or even years, at one single site. On the other hand, data-driven methods were applied by researchers to evaluate the impacts of external factors on capacity, in which, however, capacity was always viewed as deterministic. To fully exert the advantages of data-driven methods, this paper proposes a Weibull-distribution-based neural network for capacity estimation on freeways, considering both stochastic nature and external factors. Extremely long-term observation at one single site is no longer essential because this method considers different scenes at the same time and is able to integrate the information automatically. Furthermore, the model has a certain generalization performance. No matter which influencing factor is adjusted, a new distribution can be obtained. The model is verified by open-source data from the California Department of Transportation Performance Measurement System (PeMS) in this paper. Eight easily-fetched explanatory variables are introduced into the model. The mean absolute percentage error between predicted median capacities and observed ones is 0.29 and 70%–80% of observed median capacities are within the prediction band.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code used during the study were provided by a third party. Direct requests for these materials may be made to the provider as indicated in the Acknowledgments.

Acknowledgments

This study is supported by the Distinguished Young Scholar Project (No. 71922007), Key Project (No. 52131203) of the National Natural Science Foundation of China, and the MOE (Ministry of Education in China) Project of Humanities and Social Sciences (Project No. 20YJAZH083). The authors would like to thank PeMS for providing the data.

References

Adeli, H., and X. Jiang. 2003. “Neuro-fuzzy logic model for freeway work zone capacity estimation.” J. Transp. Eng. 129 (5): 484–493. https://doi.org/10.1061/(ASCE)0733-947X(2003)129:5(484).
Agarwal, M., T. H. Maze, and R. Souleyrette. 2005. “Impacts of weather on urban freeway traffic flow characteristics and facility capacity.” In Proc., 2005 Mid-Continent Transportation Research Symp., 18–19. Ames, IA: Iowa State Univ.
Alhassan, H., and J. Ben-Edigbe. 2011. “Highway capacity prediction in adverse weather.” J. Appl. Sci. 11 (12): 2193–2199. https://doi.org/10.3923/jas.2011.2193.2199.
Al-Kaisy, A., and F. Hall. 2003. “Guidelines for estimating capacity at freeway reconstruction zones.” J. Transp. Eng. 129 (5): 572–577. https://doi.org/10.1061/(ASCE)0733-947X(2003)129:5(572).
Bie, Y., M. Hao, and M. Guo. 2021a. “Optimal electric bus scheduling based on the combination of all-stop and short-turning strategies.” Sustainability 13 (4): 1827. https://doi.org/10.3390/su13041827.
Bie, Y., J. Ji, X. Wang, and X. Qu. 2021b. “Optimization of electric bus scheduling considering stochastic volatilities in trip travel time and energy consumption.” Comput.-Aided Civ. Infrastruct. Eng. 36 (May): 1530–1548. https://doi.org/10.1111/mice.12684.
Bishop, C. M. 1994. Mixture density networks. New York: Neural Computing Research Group.
Brando Guillaumes, A. 2017. “Mixture density networks for distribution and uncertainty estimation.” M.S. thesis, Dept. of Mathematics and Computer Science, Universitat Politècnica de Catalunya.
Brilon, W., J. Geistefeldt, and M. Regler. 2005. “Reliability of freeway traffic flow: A stochastic concept of capacity.” In Vol. 125143 of Proc., 16th Int. Symp. on Transportation and Traffic Theory. Amsterdam, Netherlands: Elsevier.
Brilon, W., and H. Zurlinden. 2003. “Breakdown probability and traffic efficiency as design criteria for freeways.” Forschung Strassenbau und Strassenverkehrstechnik 870. Bonn, Germany: Bundesministerium für Verkehrs und digitale Infrastruktur.
Calvert, S. C., and M. Snelder. 2013. “Influence of rain on motorway road capacity—A data-driven analysis.” In Proc., 16th Int. IEEE Conf. on Intelligent Transportation Systems (ITSC 2013), 1481–1486. New York: IEEE.
Chen, X., Z. Liu, K. Zhang, and Z. Wang. 2020. “A parallel computing approach to solve traffic assignment using path-based gradient projection algorithm.” Transp. Res. Part C Emerging Technol. 120 (Nov): 102809. https://doi.org/10.1016/j.trc.2020.102809.
Cheng, Q., Z. Liu, Y. Lin, and X. S. Zhou. 2021. “An s-shaped three-parameter (s3) traffic stream model with consistent car following relationship.” Transp. Res. Part B Methodol. 153 (Nov): 246–271. https://doi.org/10.1016/j.trb.2021.09.004.
Dong, J., and H. S. Mahmassani. 2012. “Stochastic modeling of traffic flow breakdown phenomenon: Application to predicting travel time reliability.” IEEE Trans. Intell. Transp. Syst. 13 (4): 1803–1809. https://doi.org/10.1109/TITS.2012.2207433.
Dong, S., A. Mostafizi, H. Wang, and J. Li. 2018. “A stochastic analysis of highway capacity: Empirical evidence and implications.” J. Intell. Transp. Syst. 22 (4): 338–352. https://doi.org/10.1080/15472450.2017.1396898.
Duan, Y., L. V. Yisheng, and F.-Y. Wang. 2016. “Travel time prediction with LSTM neural network.” In Proc., 2016 IEEE 19th Int. Conf. on Intelligent Transportation Systems (ITSC), 1053–1058. New York: IEEE.
Elefteriadou, L. A. 2016. “The highway capacity manual 6th edition: A guide for multimodal mobility analysis.” ITE J. 86 (4): 14.
Han, Y., and S. Ahn. 2019. “Variable speed release (VSR): Speed control to increase bottleneck capacity.” IEEE Trans. Intell. Transp. Syst. 21 (1): 298–307. https://doi.org/10.1109/TITS.2019.2891314.
Han, Y., M. Wang, Z. He, Z. Li, H. Wang, and P. Liu. 2021. “A linear lagrangian model predictive controller of macro-and micro-variable speed limits to eliminate freeway jam waves.” Transp. Res. Part C Emerging Technol. 128 (Jul): 103121. https://doi.org/10.1016/j.trc.2021.103121.
HCM (Highway Capacity Manual). 2016. A guide for multimodal mobility analysis. 6th ed. Washington, DC: Transportation Research Board.
Heaslip, K., A. Kondyli, D. Arguea, L. Elefteriadou, and F. Sullivan. 2009. “Estimation of freeway work zone capacity through simulation and field data.” Transp. Res. Rec. 2130 (1): 16–24. https://doi.org/10.3141/2130-03.
Karim, A., and H. Adeli. 2003. “Radial basis function neural network for work zone capacity and queue estimation.” J. Transp. Eng. 129 (5): 494–503. https://doi.org/10.1061/(ASCE)0733-947X(2003)129:5(494).
Kim, T., D. J. Lovell, and J. Paracha. 2001. “A new methodology to estimate capacity for freeway work zones.” In Proc., 80th Annual Meeting of the Transportation Research Board. Washington, DC: Transportation Research Board.
Larsson, T., and M. Patriksson. 1995. “An augmented lagrangean dual algorithm for link capacity side constrained traffic assignment problems.” Transp. Res. Part B Methodol. 29 (6): 433–455. https://doi.org/10.1016/0191-2615(95)00016-7.
Li, Z., P. Liu, C. Xu, H. Duan, and W. Wang. 2017. “Reinforcement learning-based variable speed limit control strategy to reduce traffic congestion at freeway recurrent bottlenecks.” IEEE Trans. Intell. Transp. Syst. 18 (11): 3204–3217. https://doi.org/10.1109/TITS.2017.2687620.
Lindsney, R., and E. Verhoef. 2001. Traffic congestion and congestion pricing. Bingley, UK: Emerald Group Publishing Limited.
Liu, Z., Z. Wang, Q. Cheng, R. Yin, and M. Wang. 2021. “Estimation of urban network capacity with second-best constraints for multimodal transport systems.” Transp. Res. Part B Methodol. 152 (Oct): 276–294. https://doi.org/10.1016/j.trb.2021.08.011.
Lu, C., J. Dong, A. Sharma, T. Huang, and S. Knickerbocker. 2018. “Predicting freeway work zone capacity distribution based on logistic speed-density models.” J. Adv. Transp. 2018 (Nov): 1–15. https://doi.org/10.1155/2018/9614501.
Maze, T. H., M. Agarwal, and G. Burchett. 2006. “Whether weather matters to traffic demand, traffic safety, and traffic operations and flow.” Transp. Res. Rec. 1948 (1): 170–176. https://doi.org/10.1177/0361198106194800119.
Meng, Q., W. H. Lam, and L. Yang. 2008. “General stochastic user equilibrium traffic assignment problem with link capacity constraints.” J. Adv. Transp. 42 (4): 429–465. https://doi.org/10.1002/atr.5670420403.
Mikolasek, I. 2020. “New stochastic highway capacity estimation method and why product limit method is unsuitable.” Preprint, Submitted March 11, 2020. http://arxiv.org/abs/2003.05355.
Minderhoud, M. M., H. Botma, and P. H. Bovy. 1997. “Assessment of roadway capacity estimation methods.” Transp. Res. Rec. 1572 (1): 59–67. https://doi.org/10.3141/1572-08.
Nie, Y., H. Zhang, and D.-H. Lee. 2004. “Models and algorithms for the traffic assignment problem with link capacity constraints.” Transp. Res. Part B Methodol. 38 (4): 285–312. https://doi.org/10.1016/S0191-2615(03)00010-9.
Ozbay, K., and E. E. Ozguven. 2007. “A comparative methodology for estimating the capacity of a freeway section.” In Proc., 2007 IEEE Intelligent Transportation Systems Conf., 1034–1039. New York: IEEE.
Pamula, T. 2018. “Road traffic conditions classification based on multilevel filtering of image content using convolutional neural networks.” IEEE Intell. Transp. Syst. Mag. 10 (3): 11–21. https://doi.org/10.1109/MITS.2018.2842040.
Petersen, N. C., F. Rodrigues, and F. C. Pereira. 2019. “Multi-output bus travel time prediction with convolutional LSTM neural network.” Expert Syst. Appl. 120 (Apr): 426–435. https://doi.org/10.1016/j.eswa.2018.11.028.
Romilly, P. 2004. “Welfare evaluation with a road capacity constraint.” Transp. Res. Part A Policy Pract. 38 (4): 287–303. https://doi.org/10.1016/j.tra.2003.12.001.
Rouwendal, J., and E. T. Verhoef. 2006. “Basic economic principles of road pricing: From theory to applications.” Transp. Policy 13 (2): 106–114. https://doi.org/10.1016/j.tranpol.2005.11.007.
Shao, C.-Q. 2011. “Implementing estimation of capacity for freeway sections.” J. Appl. Math. 2011 (Jan): 9. https://doi.org/10.1155/2011/941481.
Shojaat, S., J. Geistefeldt, S. A. Parr, L. Escobar, and B. Wolshon. 2018. “Defining freeway design capacity based on stochastic observations.” Transp. Res. Rec. 2672 (15): 131–141. https://doi.org/10.1177/0361198118784401.
Sun, Z., and C. Yang. 2011. “Development of extreme value distribution method for estimation of expressway capacity.” Transp. Res. Rec. 2260 (1): 133–139. https://doi.org/10.3141/2260-15.
Ubbels, B., and E. T. Verhoef. 2008. “Governmental competition in road charging and capacity choice.” Reg. Sci. Urban Econ. 38 (2): 174–190. https://doi.org/10.1016/j.regsciurbeco.2008.01.001.
US Bureau of Public Roads. 1964. Traffic assignment manual for application with a large, high speed computer. Washington, DC: US Department of Commerce.
Weng, J., and Q. Meng. 2011. “Decision tree–based model for estimation of work zone capacity.” Transp. Res. Rec. 2257 (1): 40–50. https://doi.org/10.3141/2257-05.
Weng, J., and X. Yan. 2016. “Probability distribution-based model for work zone capacity prediction.” J. Adv. Transp. 50 (2): 165–179. https://doi.org/10.1002/atr.1310.
Yu, H., P. Liu, Y. Fan, and G. Zhang. 2021. “Developing a decentralized signal control strategy considering link storage capacity.” Transp. Res. Part C Emerging Technol. 124 (Mar): 102971. https://doi.org/10.1016/j.trc.2021.102971.
Zheng, Y., B. Ran, X. Qu, J. Zhang, and Y. Lin. 2019. “Cooperative lane changing strategies to improve traffic operation and safety nearby freeway off-ramps in a connected and automated vehicles environment.” IEEE Trans. Intell. Transp. Syst. 21 (11): 4605–4614. https://doi.org/10.1109/TITS.2019.2942050.
Zuo, Y., X. Fu, Z. Liu, and D. Huang. 2021. “Short-term forecasts on individual accessibility in bus system based on neural network model.” J. Transp. Geogr. 93 (May): 103075. https://doi.org/10.1016/j.jtrangeo.2021.103075.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 148Issue 4April 2022

History

Received: Jul 15, 2021
Accepted: Nov 30, 2021
Published online: Jan 31, 2022
Published in print: Apr 1, 2022
Discussion open until: Jun 30, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Yunshan Wang [email protected]
Research Assistant, School of Transportation, Southeast Univ., 2 Southeast University Rd., Nanjing 210000, China. Email: [email protected]
Qixiu Cheng [email protected]
Postdoctoral Fellow, Dept. of Logistics and Maritime Studies, Hong Kong Polytechnic Univ., Hung Hom, Hong Kong. Email: [email protected]
Research Associate, Huawei Technologies Co., Ltd., No. 3 Xinxi Rd., Haidian District, Beijing 100000, China. Email: [email protected]
Zhiyuan Liu [email protected]
Professor, School of Transportation, Southeast Univ., 2 Southeast University Rd., Nanjing 210000, China (corresponding author). 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

  • A Novel Generalized-M Family: Heavy-Tailed Characteristics with Applications in the Engineering Sector, Mathematical Problems in Engineering, 10.1155/2022/8569332, 2022, (1-12), (2022).

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