Abstract
This paper describes a practical automated procedure to calibrate and validate a transit assignment model. An optimization method based on particle swarm algorithm is adopted to minimize a defined error term. This error term which is based on the percentage of root mean square error and the mean absolute percent error encompasses deviation of model outputs from observations considering both segment level as well as the mode level and can be applied to a large scale network. This study is based on the frequency-based assignment model using the concept of optimal strategy while any transit assignment model can be used in the proposed methodological framework. Lastly, the model is validated using another weekday data. The proposed methodology uses automatic fare collection (AFC) data to estimate the origin–destination matrix. This study combines data from three sources: the general transit feed specification, AFC, and a strategic transport model from a large-scale multimodal public transport network. The South-East Queensland (SEQ) network in Australia is used as a case study. The AFC system in SEQ has voluminous and high quality data on passenger boardings and alightings across bus, rail and ferry modes. The results indicate that the proposed procedure can successfully develop a multi-modal transit assignment model at a large scale. Higher dispersions are seen for the bus mode, in contrast to rail and ferry modes. Furthermore, a comparison is made between the strategies used by passengers and the generated strategies by the model between each origin and destination to get more insights about the detailed behaviour of the model. Overall, the analysis indicates that the AFC data is a valuable and rich source in calibrating and validating a transit assignment model.






Similar content being viewed by others
References
Alsger, A., Tavassoli, A., Mesbah, M., Ferreira, L.: Evaluation of effects from sample-size origin–destination estimation using smart card fare data. J. Transp. Eng. Part A Syst. 143(4), 04017003 (2017)
Alsger, A., Tavassoli, A., Mesbah, M., Ferreira, L., Hickman, M.: Public transport trip purpose inference using smart card fare data. Transp. Res. Part C 87, 123–137 (2018)
Alsger, A.A., Mesbah, M., Ferreira, L., Safi, H.: Use of smart card fare data to estimate public transport origin–destination matrix. Transp. Res. Rec. J. Transp. Res. Board 2535, 88–96 (2015)
Bagherian, M., Massah, S., Kermanshahi, S.: A swarm based method for solving transit network design problem. In: Proceedings of the 36th Australasian Transport Research Forum (ATRF), Brisbane, Australia (2013)
Bandara, R., Walker, J.P., Rüdiger, C.: Towards soil property retrieval from space: proof of concept using in situ observations. J. Hydrol. 512, 27–38 (2014)
Caliper: Transcad Transportation Planning Software User’s Guide Version 7. Caliper Corporation, Newton (2015)
Ceder, A.: Public Transit Planning and Operation: Modeling, Practice and Behavior, 2nd edn. CRC Press, Boca Raton (2016)
Cepeda, M., Cominetti, R., Florian, M.: A frequency-based assignment model for congested transit networks with strict capacity constraints: characterization and computation of equilibria. Transp. Res. Part B Methodol. 40(6), 437–459 (2006)
Desaulniers, G., Hickman, M.: Chapter 2 public transit. In: Barnhart, C., Laporte, G. (eds.) Handbooks in Operations Research and Management Science. Elsevier, Amsterdam (2007)
Dial, R.B.: Transit pathfinder algorithm. Highw. Res. Rec. 205, 67–85 (1967)
Dixit, A., Mishra, A., Shukla, A.: Vehicle routing problem with time windows using meta-heuristic algorithms: a survey. In: Yadav, N., Yadav, A., Bansal, J., Deep, K., Kim, J. (eds.) Harmony Search and Nature Inspired Optimization Algorithms. Advances in Intelligent Systems and Computing, vol. 741. Springer, Singapore (2019)
Dong, C., Liu, Z., Liu, X.: Chaos-particle swarm optimization algorithm and its application to urban traffic control. Int. J. Comput. Sci. Netw. Secur. 6(1), 97–101 (2006)
Engelbrecht, A.P.: Fundamentals of Computational Swarm Intelligence. Wiley, New York (2006)
Federal Highway Administration (FHWA): Travel Model Validation and Reasonability Checking Manual Second Edition. TMIP, Washington, DC, USA (2010). https://connect.ncdot.gov/projects/planning/TPB%20Training%20Presentations/FHWA%20Model%20Validation%20Handbook.pdf
Florian, M., Constantin, I.: A note on logit choices in strategy transit assignment. EURO J. Transp. Logist. 1(1), 29–46 (2012)
Fung, S., Tong, C., Wong, S.: Validation of a conventional metro network model using real data. J. Intell. Transp. Syst. 9(2), 69–79 (2005)
Google: General transit feed specification reference. https://developers.google.com/transit/gtfs/ (2013). Accessed 20 Feb 2014
Gopalakrishnan, K.: Particle swarm optimization in civil infrastructure systems: state-of-the-art review. In: Yang, X.-S., Talatahari, S., Alavi, A.H. (eds.) Metaheuristic Applications in Structures and Infrastructures. Elsevier, Oxford (2013)
Hensher, D.A., Button, K.J.: Handbook of Transport Modelling, 2nd edn. Elsevier, Amsterdam (2008)
Hickman, M.D., Bernstein, D.H.: Transit service and path choice models in stochastic and time-dependent networks. Transp. Sci. 31(2), 129–146 (1997)
INRO: Emme User’s Manual Software Version 4.2. INRO Consultants Incorporated, Montreal (2015)
Kacprzyk, J.: Tuning Metaheuristics: A Machine Learning Perspective. Springer, Berlin (2009)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, Piscataway, New Jersey (1995)
Koutsopoulos, H.N., Ben-Akiva, M.: Advanced public transport systems, simulation-based evaluation. In: Ehsani, M., Wang, F.-Y., Brosch, G.L. (eds.) Transportation Technologies for Sustainability. Springer, New York (2013)
Lam, W.H.-K., Gao, Z., Chan, K., Yang, H.: A stochastic user equilibrium assignment model for congested transit networks. Transp. Res. Part B Methodol. 33(5), 351–368 (1999)
Liu, Y., Bunker, J., Ferreira, L.: Transit Users’ Route-Choice Modelling in Transit Assignment: A Review. Transp. Rev. 30(6), 753–769 (2010)
Long Cheu, R., Srinivasan, D., Hoon Loo, W.: Training neural networks to detect freeway incidents by using particle swarm optimization. Transp. Res. Rec. J. Transp. Res. Board 1867, 11–18 (2004)
Mazloumi, E., Mesbah, M., Ceder, A., Moridpour, S., Currie, G.: Efficient transit schedule design of timing points: a comparison of ant colony and genetic algorithms. Transp. Res. Part B Methodol. 46(1), 217–234 (2012)
Meng, X., Jia, L., Qin, Y.: Train timetable optimizing and rescheduling based on improved particle swarm algorithm. Transp. Res. Rec. J. Transp. Res. Board 2197, 71–79 (2010)
Moore, T.: Queensland seeks next go card revolution. http://www.brisbanetimes.com.au/queensland/queensland-seeks-next-go-card-revolution-20150925-gjv9ip.html (2015). Accessed 12 Mar 2015
Munizaga, M., Devillaine, F., Navarrete, C., Silva, D.: Validating travel behavior estimated from smartcard data. Transp. Res. Part C Emerg. Technol. 44, 70–79 (2014)
Nassir, N., Hickman, M., Ma, Z.-L.: Activity detection and transfer identification for public transit fare card data. Transportation 42(4), 683–705 (2015)
Nassir, N., Hickman, M., Ma, Z.-L.: Statistical inference of transit passenger boarding strategies from farecard data. In: TRB 96th Annual Meeting Compendium of Papers. Transportation Research Board, Washington, DC (2017)
National Cooperative Highway Research Program: Travel demand forecasting: parameters and techniques, NCHRP report 716. Transportation Research Board, Available (2012)
Nielsen, O.A.: A stochastic transit assignment model considering differences in passengers utility functions. Transp. Res. Part B Methodol. 34(5), 377–402 (2000)
Nuzzolo, A., Crisalli, U., Rosati, L.: A schedule-based assignment model with explicit capacity constraints for congested transit networks. Transp. Res. Part C Emerg. Technol. 20(1), 16–33 (2012)
Panigrahi, B.K., Shi, Y., Lim, M.-H.: Handbook of Swarm Intelligence: Concepts, Principles and Applications. Springer, Berlin (2011)
Parveen, M., Shalaby, A., Wahba, M.: G-Emme/2: automatic calibration tool of the Emme/2 transit assignment using genetic algorithms. J. Transp. Eng. 133(10), 549–555 (2007)
Pelletier, M.-P., Trépanier, M., Morency, C.: Smart card data use in public transit: a literature review. Transp. Res. Part C Emerg. Technol. 19(4), 557–568 (2011)
Bowes, P.: Mapinfo Professional User’s Manual Software Version 15. Pitney Bowes Software Inc, Tokyo (2015)
Poon, M.H., Tong, C.O., Wong, S.C.: Validation of a schedule-based capacity restraint transit assignment model for a large-scale network. J. Adv. Transp. 38(1), 5–26 (2004)
Queensland Government: General transit feed specification (GTFS)—South East Queensland. https://data.qld.gov.au/dataset/general-transit-feed-specification-gtfs-seq (2013). Accessed 20 Feb 2014
Rahbar, M., Hickman, M., Mesbah, M., Tavassoli, A.: Determining effective sample size to calibrate a transit assignment model: a Bayesian perspective. Transp. Res. Rec. (2018). https://doi.org/10.1177/0361198118781182
Rahbar, M., Hickman, M., Mesbah, M., Tavassoli, A.: Calibrating a Bayesian transit assignment model using smart card data. IEEE Trans. Intell. Transp. Syst. 20(4), 1574–1583 (2019)
Robinson, S., Narayanan, B., Toh, N., Pereira, F.: Methods for pre-processing smartcard data to improve data quality. Transp. Res. Part C Emerg. Technol. 49, 43–58 (2014)
Schmöcker, J.-D., Shimamoto, H., Kurauchi, F.: Generation and calibration of transit hyperpaths. Transp. Res. Part C Emerg. Technol. 36, 406–418 (2013)
Slavin, H., Rabinowicz, A., Brandon, J., Flammia, G., Freimer, R.: Using automated fare collection data, GIS, and dynamic schedule queries to improve transit data and transit assignment model. In: Schedule-Based Modeling of Transportation Networks. Operations Research/Computer Science Interfaces Series, vol. 46. Springer, Boston, MA (2009)
Spiegelman, C.H., Park, E.S., Rilett, L.R.: Transportation Statistics and Microsimulation. Chapman & Hall/CRC, Boca Raton (2011)
Spiess, H., Florian, M.: Optimal strategies: a new assignment model for transit networks. Transp. Res. Part B Methodol. 23(2), 83–102 (1989)
Sun, L., Lu, Y., Jin, J.G., Lee, D.-H., Axhausen, K.W.: An integrated Bayesian approach for passenger flow assignment in metro networks. Transp. Res. Part C Emerg. Technol. 52, 116–131 (2015)
Tavassoli, A., Mesbah, M., Hickman, M.: Application of smart card data in validating a large-scale multi-modal transit assignment model. Public Transp. (2017a). https://doi.org/10.1007/s12469-017-0171-1
Tavassoli, A., Mesbah, M., Hickman, M.: Quantifying error in transit assignment using smart card data in a large-scale multimodal transit network. In: TRB 96th Annual Meeting Compendium of Papers. Transport Research Board, Washington, DC (2017b)
Tavassoli, A., Mesbah, M., Shobeirinejad, A.: Modelling passenger waiting time using large-scale automatic fare collection data: an Australian case study. Transp. Res. Part F Traffic Psychol. Behav. 58, 500–510 (2018)
Teodorović, D.: Swarm intelligence systems for transportation engineering: principles and applications. Transp. Res. Part C Emerg. Technol. 16(6), 651–667 (2008)
Tong, C., Wong, S.: A stochastic transit assignment model using a dynamic schedule-based network. Transp. Res. Part B Methodol. 33(2), 107–121 (1998)
Trépanier, M., Tranchant, N., Chapleau, R.: Individual trip destination estimation in a transit smart card automated fare collection system. J. Intell. Transp. Syst. 11(1), 1–14 (2007)
Vlahogianni, E.I., Park, B.B., Van Lint, J.: Big data in transportation and traffic engineering. Transp. Res. Part C Emerg. Technol. 58, 161 (2015)
Vuk, G., Hansen, C.O.: Validating the passenger traffic model for Copenhagen. Transportation 33(4), 371–392 (2006)
Wahba, M., Shalaby, A.: Milatras: a microsimulation platform for testing transit-ITS policies and technologies. In: IEEE Intelligent Transportation Systems Conference (2006)
Washington, S., Karlaftis, M.G., Mannering, F.L.: Statistical and Econometric Methods for Transportation Data Analysis. CRC Press, Boca Raton (2011)
Xu, X., Xie, L., Li, H., Qin, L.: Learning the route choice behavior of subway passengers from AFC data. Expert Syst. Appl. 95, 324–332 (2018)
Zhang, W., Tang, J.: Research on the Method of Calculating Train Congestion Index Based on the Automatic Fare Collection Data. Springer, Singapore (2018)
Zhang, Y., Wang, S., Ji, G.: A comprehensive survey on particle swarm optimization algorithm and its applications. Math. Probl. Eng. 2015, 931256 (2015). https://doi.org/10.1155/2015/931256
Zhao, H., Zou, Z., Ru, Z.: Chaotic particle swarm optimization for non-circular critical slip surface identification in slope stability analysis. In: Proceedings of the International Young Scholars’ Symposium on Rock Mechanics: Boundaries of Rock Mechanics Recent Advances and Challenges for the 21st Century (2008)
Zhao, J.: The Planning and Analysis Implications of Automated Data Collection Systems: Rail Transit Od Matrix Inference and Path Choice Modeling Examples. Massachusetts Institute of Technology, Cambridge (2004)
Zhu, W., Hu, H., Huang, Z.: Calibrating rail transit assignment models with genetic algorithm and automated fare collection data. Comput. Aided Civil Infrastruct. Eng. 29(7), 518–530 (2014)
Acknowledgements
The authors would like to acknowledge TransLink for providing the AFC data for this research. We would also like to acknowledge the Queensland Department of Transport and Main Roads (DTMR), Transport Strategy and Planning Branch for providing access to the South East Queensland Strategic Transport Model (SEQSTM). The authors would like to thank Dr. Jason Kruger for his insight on the modelling approach. This work is supported by the Transport Academic Partnership between DTMR and the University of Queensland.
Author information
Authors and Affiliations
Contributions
AT: Wrote the manuscript including literature search; established the methodology, conducted the analyses. MM: assisted with the methodology development; reviewed the manuscript. MH: assisted with the methodology development; reviewed the manuscript.
Corresponding authors
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Tavassoli, A., Mesbah, M. & Hickman, M. Calibrating a transit assignment model using smart card data in a large-scale multi-modal transit network. Transportation 47, 2133–2156 (2020). https://doi.org/10.1007/s11116-019-10004-y
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11116-019-10004-y


