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A mixed Bayesian network for two-dimensional decision modeling of departure time and mode choice

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Abstract

The modeling of travel decision making has been a popular topic in transportation planning. Previous studies focused on random-utility discrete choice models and machine learning methods. This paper proposes a new modeling approach that utilizes a mixed Bayesian network (BN) for travel decision inference. The authors use a predetermined BN structure and calculate priori and posterior probability distributions of the decision alternatives based on the observed explanatory variables. As a “utility-free” decision inference method, the BN model releases the linear structure in the utility function but assumes the traffic level of service variables follow multivariate Gaussian distribution conditional on the choice variable. A real-world case study is conducted by using the regional travel survey data for a two-dimensional decision modeling of both departure time choice and travel mode choice. The results indicate that a two-dimensional mixed BN provides better accuracy than decision tree models and nested logit models. In addition, one can derive continuous elasticity with respect to each continuous explanatory variable for sensitivity analysis. This new approach addresses a research gap in probabilistic travel decision making modeling as well as two-dimensional travel decision modeling.

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References

  • Ben-Akiva, M., Bierlaire, M.: Discrete choice methods and their applications to short term travel decisions. Handb. transp. sci. 23, 5–35 (1999)

    Article  Google Scholar 

  • Ben-Elia, E., Bierlaire, M., Ettema, D.: A behavioural departure time choice model with latent arrival time preference and rewards for peak-hour avoidance. In: European Transport Conference, Glasgow (2010)

  • Bhat, C.R.: Accommodating flexible substitution patterns in multi-dimensional choice modeling: formulation and application to travel mode and departure time choice. Transp. Res. Part B: methodol. 32(7), 455–466 (1998a)

    Article  Google Scholar 

  • Bhat, C.: Analysis of travel mode and departure time choice for urban shopping trips. Transp. Res. Part B: Methodol. 32(6), 361–371 (1998b)

    Article  Google Scholar 

  • Borjesson, M.: Joint RP-SP data in a mixed logit analysis of trip timing decisions. Transp. Res. Part E: logist. Transp. Rev. 44(6), 1025–1038 (2008)

    Article  Google Scholar 

  • Bowman, J., Bradley, M., Shiftan, Y., Lawton, T., Ben-Akiva, M.: Demonstration of an activity based model system for portland. In: 8th World Conference on Transport Research, Antwerp, Belgium (1998)

  • Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J.: Classification and Regression trees Belmont. Wadsworth International Group, CA (1984)

    Google Scholar 

  • Castillo, E., Menéndez, J.M., Sánchez-Cambronero, S.: Predicting traffic flow using Bayesian networks. Transp. Res. Part B: Methodol. 42(5), 482–509 (2008)

    Article  Google Scholar 

  • Davis, G.A., Pei, J.: Bayesian networks and traffic accident reconstruction. In: Proceedings of the 9th International Conference on Artificial Intelligence and Law, pp. 171–176. ACM (2003)

  • De Jong, G., Daly, A., Pieters, M., Vellay, C., Bradley, M., Hofman, F.: A model for time of day and mode choice using error components logit. Transp. Res. Part E: Logist. Transp. Rev. 39(3), 245–268 (2003)

    Article  Google Scholar 

  • Ding, C., Mishra, S., Lin, Y., Xie, B.: Cross-nested joint model of travel mode and departure time choice for urban commuting trips: case study in maryland-washington, dc region. J. Urban Plan. Dev. 141(4), 04014036 (2014)

    Article  Google Scholar 

  • Hensher, D., Ton, T.: A comparison of the predictive potential of artificial neural networks and nested logit models for commuter mode choice. Transp. Res. Part E: Logist. Transp. Rev. 36(3), 155–172 (2000)

    Article  Google Scholar 

  • Hothorn, T., Hornik, K., Strobl, C., Zeileis, A.: Party: a laboratory for recursive partytioning (2010)

  • Jensen, F.V.: An Introduction to Bayesian Networks, vol. 210. UCL Press, London (1996)

    Google Scholar 

  • Koppelman, F. S., Bhat, C.: A Self-Instructing Course in Mode Choice Modeling: Multinomial and Nested Logit Models, vol. 31, US Department of Transportation, Federal Transit Administration (2006)

  • Lemp, J., Kockelman, K., Damien, P.: The continuous cross-nested logit model: formulation and application for departure time choice. Transp. Res. Part B: methodol. 44(5), 646–661 (2010)

    Article  Google Scholar 

  • McFadden, D.: Conditional Logit Analysis of Qualitative Choice Behavior. In: Zarembka, P. (ed.) Frontiers in Econometrics. Academic Press, New York (1973)

    Google Scholar 

  • Papola, A.: Some developments on the cross-nested logit model. Transp. Res. Part B: methodol. 38(9), 833–851 (2004)

    Article  Google Scholar 

  • Quinlan, J.R.: C4. 5: Programs for Machine Learning. Elsevier (2014)

  • Shen, J., Sakata, Y., Hashimoto, Y.: A Comparison between Latent Class Model and Mixed Logit Model for Transport Mode Choice: Evidences from Two Datasets of Japan, Discussion Papers in Economics and Business 06–05. Graduate School of Economics and Osaka School of International Public Policy, Osaka University, Toyonaka, Osaka (2006)

  • Simoncic, M.: A Bayesian network model of two-car accidents. J. transp. Stat. 7(2–3), 13–25 (2004)

    Google Scholar 

  • Small, K.A.: A discrete choice model for ordered alternatives. Econom.: J. Econom. Soc. 409–424 (1987)

  • Sun, S., Zhang, C., Yu, G.: A Bayesian network approach to traffic flow forecasting. Intell. Transp. Syst. IEEE Trans. 7(1), 124–132 (2006)

    Article  Google Scholar 

  • Tang, L., Xiong, C., Zhang, L.: Decision tree method for modeling travel mode switching in a dynamic behavioral process. Transp. Plan. Technol. 38(8), 833–850 (2015)

    Article  Google Scholar 

  • Wen, C., Koppelman, F.: The generalized nested logit model. Trans. Res. Part B Methodol. 35(7), 627–641 (2001)

    Article  Google Scholar 

  • Xie, C., Lu, J., Parkany, E.: Work travel mode choice modeling with data mining: decision trees and neural networks. Transp. Res. Rec. J. Transp. Res. Board 1854, 50–61 (2003)

    Article  Google Scholar 

  • Xie, C., Waller, S.: Estimation and application of a Bayesian network model for discrete travel choice analysis. Transp. Lett. 2(2), 125–144 (2010)

    Article  Google Scholar 

  • Xiong, C., Hetrakul, P., Zhang, L.: On ride-sharing: a departure time choice analysis with latent carpooling preference. J. Transp. Eng. 140(8), 04014033 (2014)

    Article  Google Scholar 

  • Xiong, C., Zhang, L.: A descriptive Bayesian approach to modeling and calibrating en-route diversion behavior. IEEE Trans. Intell. Transp. Syst. 14(4), 1817–1824 (2013)

    Article  Google Scholar 

  • Yang, H., Kitamura, R., Jovanis, P., Vaughn, K., Abdel-Aty, M.: Exploration of route choice behavior with advanced traveler information using neural network concepts. Transportation 20(2), 199–223 (1993)

    Article  Google Scholar 

  • Yun, D.S., Lee, J., Sinha, K.C.: Modeling prework trip-making and home departure time choice. J. Transp. Eng. 126(4), 308–312 (2000)

    Article  Google Scholar 

  • Zhang, K., Taylor, M.A.: Effective arterial road incident detection: a Bayesian network based algorithm. Transp. Res. Part C Emerg. Technol. 14(6), 403–417 (2006)

    Article  Google Scholar 

  • Zhang, Y., Xie, Y.: Travel mode choice modeling with support vector machines. Transp. Res. Rec. J. Transp. Res. Board 2076, 141–150 (2008)

    Article  Google Scholar 

  • Zhu, Z., Peng, B., Xiong, C., Zhang, L.: Short-term traffic flow prediction with linear conditional gaussian bayesian network. J. Adv. Transp. 50(6), 1111–1123 (2016)

    Article  Google Scholar 

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Acknowledgement

This research is funded by National Natural Science Foundation of China (51508505). The authors would like to thank the developers of R cpart package for DT algorithm, and Biogeme for NL models. The authors also appreciate Liang Tang from University of Maryland, who gave us suggestions on data processing. The authors are solely responsible for all statements in the paper.

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Correspondence to Lei Zhang.

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Zhu, Z., Chen, X., Xiong, C. et al. A mixed Bayesian network for two-dimensional decision modeling of departure time and mode choice. Transportation 45, 1499–1522 (2018). https://doi.org/10.1007/s11116-017-9770-6

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