880
Views
68
Downloads
26
Crossref
17
WoS
24
Scopus
N/A
CSCD
As Public Transport (PT) becomes more dynamic and demand-responsive, it increasingly depends on predictions of transport demand. But how accurate need such predictions be for effective PT operation? We address this question through an experimental case study of PT trips in Metropolitan Copenhagen, Denmark, which we conduct independently of any specific prediction models. First, we simulate errors in demand prediction through unbiased noise distributions that vary considerably in shape. Using the noisy predictions, we then simulate and optimize demand-responsive PT fleets via a linear programming formulation and measure their performance. Our results suggest that the optimized performance is mainly affected by the skew of the noise distribution and the presence of infrequently large prediction errors. In particular, the optimized performance can improve under non-Gaussian vs. Gaussian noise. We also find that dynamic routing could reduce trip time by at least 23% vs. static routing. This reduction is estimated at 809,000 €/year in terms of Value of Travel Time Savings for the case study.
As Public Transport (PT) becomes more dynamic and demand-responsive, it increasingly depends on predictions of transport demand. But how accurate need such predictions be for effective PT operation? We address this question through an experimental case study of PT trips in Metropolitan Copenhagen, Denmark, which we conduct independently of any specific prediction models. First, we simulate errors in demand prediction through unbiased noise distributions that vary considerably in shape. Using the noisy predictions, we then simulate and optimize demand-responsive PT fleets via a linear programming formulation and measure their performance. Our results suggest that the optimized performance is mainly affected by the skew of the noise distribution and the presence of infrequently large prediction errors. In particular, the optimized performance can improve under non-Gaussian vs. Gaussian noise. We also find that dynamic routing could reduce trip time by at least 23% vs. static routing. This reduction is estimated at 809,000 €/year in terms of Value of Travel Time Savings for the case study.
An, K., Lo, H. K. (2015). Robust transit network design with stochastic demand considering development density. Transp. Res. Part B Methodol., 81:737 - 754
Bosch, P. M., Becker, F., Becker, H., Axhausen, K. W. (2018). Cost-based analysis of autonomous mobility services. Transport Pol., 64:76-91
Davies, N., Spedding, T., Watson, W. (1980). Autoregressive moving average processes with non-normal residuals. J. Time Anal., 1(2):103-109
Gourieroux, C., Monfort, A., Renault, E., Trognon, A. (1987). Generalised residuals. J. Econom., 34(1-2):5-32
Hadjidimitriou, N. S., Lippi, M., Mamei, M. (2020). A data driven approach to match demand and supply for public transport planning. IEEE Trans. Intell. Transport. Syst., 1-11
Hashemi, H., Abdelghany, K. (2015). Real-time traffic network state prediction for proactive traffic management: simulation experiments and sensitivity analysis. Transport. Res. Rec., 2491(1):22-31
He, Y., Raghunathan, T. E. (2009). On the performance of sequential regression multiple imputation methods with non normal error distributions. Commun. Stat. Simulat. Comput., 38(4):856-883
Huang, A., Dou, Z., Qi, L., Wang, L. (2020). Flexible route optimization for demand-responsive public transit service. J. Transport. Eng., Part A: Systems, 146(12)
Hyland, M., Mahmassani, H. S. (2018). Dynamic autonomous vehicle fleet operations: optimization-based strategies to assign avs to immediate traveler demand requests. Transport. Res. C Emerg. Technol., 92:278 - 297
Ibeas, A., Alonso, B., dell'Olio, L., Moura, J. L. (2014). Bus size and headways optimization model considering elastic demand. J. Transport. Eng., 140(4)
Iliopoulou, C., Kepaptsoglou, K. (2019). Combining ITS and optimization in public transportation planning: state of the art and future research paths. European Transport Research Review, 11(1)
Ivkovic, I., Rajic, V., Stanojevic, J. (2020). Coverage probabilities of confidence intervals for the slope parameter of linear regression model when the error term is not normally distributed. Commun. Stat. Simulat. Comput., 49(1):147-158
Jackson, D., White, I. R. (2018). When should meta-analysis avoid making hidden normality assumptions? Biom. J., 60(6):1040-1058
Jiang, Y. (2021). Reliability-based equitable transit frequency design. Transportmetrica: Transport. Sci., 1-31
Jiang, Y., Ceder, A. A. (2021). Incorporating personalization and bounded rationality into stochastic transit assignment model. Transport. Res. C Emerg. Technol., 127:103-127
Krishnakumari, P., van Lint, H., Djukic, T., Cats, O. (2020). A data driven method for od matrix estimation. Transport. Res. C Emerg. Technol., 113:38-56
Lee, Y. J. (2006). Transit network sensitivity analysis. Journal of Public Transportation, 9(1):21-52
Luathep, P., Sumalee, A., Lam, W. H., Li, Z. C., Lo, H. K. (2011). Global optimization method for mixed transportation network design problem: a mixed-integer linear programming approach. Transp. Res. Part B Methodol., 45(5):808-827
Mak, T. K. (2000). Heteroscedastic regression models with non-normally distributed errors. J. Stat. Comput. Simulat., 67(1):21-36
Manasra, H., Toledo, T. (2019). Optimization-based operations control for public transportation service with transfers. Transport. Res. C Emerg. Technol., 105:456-467
Nelson, H., Granger, C. (1979). Experience with using the box-cox transformation when forecasting economic time series. J. Econom., 10(1):57-69
Pernot, P., Huang, B., Savin, A. (2020). Impact of non-normal error distributions on the benchmarking and ranking of quantum machine learning models. Mach. Learn.: Sci. Technol., 1(3)
Rich, J., Vandet, C. A. (2019). Is the value of travel time savings increasing? analysis throughout a financial crisis. Transport. Res. Pol. Pract., 124:145-168
Szeto, W., Jiang, Y. (2014). Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach. Transp. Res. Part B Methodol., 67:235 - 263
Tong, L., Zhou, X., Miller, H. J. (2015). Transportation network design for maximizing space-time accessibility. Transp. Res. Part B Methodol., 81:555-576
Toole, J. L., Colak, S., Sturt, B., Alexander, L. P., Evsukoff, A., Gonzalez, M. C. (2015). The path most traveled: travel demand estimation using big data resources. Transport. Res. C Emerg. Technol., 58:162 - 177
Ukkusuri, S. V., Mathew, T. V., Waller, S. T. (2007). Robust transportation network design under demand uncertainty. Comput. Aided Civ. Infrastruct. Eng., 22(1):6-18
Wang, D. Z., Lo, H. K. (2010). Global optimum of the linearized network design problem with equilibrium flows. Transp. Res. Part B Methodol., 44(4):482-492
Wang, H., Lam, W. H. K., Zhang, X., Shao, H. (2015). Sustainable transportation network design with stochastic demands and chance constraints. International Journal of Sustainable Transportation, 9(2):126-144
Wang, X., Qing-dao-er ji, R. (2019). Application of optimized genetic algorithm based on big data in bus dynamic scheduling. Cluster Comput., 22(6):15439-15446
Winter, K., Cats, O., Correia, G., van Arem, B. (2018). Performance analysis and fleet requirements of automated demand-responsive transport systems as an urban public transport service. International Journal of Transportation Science and Technology, 7(2):151-167
Wolters, R. Kateman, G. (1989). The performance of least squares and robust regression in the calibration of analytical methods under non-normal noise distributions. J. Chemometr., 3(2):329-342
Data for this research was obtained by kind permission of the Danish Transport, Construction and Housing Authority, Movia Transit Agency, the Danish National Rail Company and the Danish Metro Company.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).