Impact of calibration of perturbations in simulation: the case of robustness evaluation at a station

This paper deals with robustness evaluation at station, and in particular for the train plat-forming problem (TPP). This problem consists in a platform and route assignment in station for each scheduled train. A classical robustness evaluation is simulation: simulated delays are injected on arriving and departing trains then propagated, and results are averaged on a large number of trials. A robust solution of the TPP aims to limit the total amount of secondary delays. However, a simulation framework at station is difficult t o c alibrate: it requires a realistic delays generator and an accurate operating rules modeling. This paper proposes an original simulation framework using classical statistical learning algorithms and calibration assessment methods to model simulation inputs. This methodology is applied on delay data to simulate delay propagation at station. It highlights the importance of delay calibration by showing that even slight miscalibration of inputs can lead to strong deviations in propagation results.

[1]  Otto Anker Nielsen,et al.  Simulation of Disturbances and Modelling of Expected Train Passenger Delays , 2006 .

[2]  Malachy Carey,et al.  Testing schedule performance and reliability for train stations , 2000, J. Oper. Res. Soc..

[3]  Rob M.P. Goverde,et al.  Punctuality of railway operations and timetable stability analysis , 2005 .

[4]  Bo Friis Nielsen,et al.  Distribution Fitting for Very Large Railway Delay Data Sets with Discrete Values , 2018 .

[5]  R. Rigby,et al.  Generalized Additive Models for Location Scale and Shape (GAMLSS) in R , 2007 .

[6]  Nils O.E. Olsson,et al.  Influencing factors on train punctuality—results from some Norwegian studies , 2004 .

[7]  Dario Pacciarelli,et al.  Susceptibility of optimal train schedules to stochastic disturbances of process times , 2014 .

[8]  Haris N. Koutsopoulos,et al.  Simulation of Urban Rail Operations , 2007 .

[9]  R. Tibshirani,et al.  Generalized Additive Models , 1986 .

[10]  Malachy Carey,et al.  Ex ante heuristic measures of schedule reliability , 1999 .

[11]  Leo Kroon,et al.  Routing trains through railway stations: complexity issues , 1997 .

[12]  Leo G. Kroon,et al.  Robust Train Routing and Online Re-scheduling , 2010, ATMOS.

[13]  Keith Briggs,et al.  Modelling train delays with q-exponential functions , 2007 .

[14]  Yong Cui,et al.  Calibration of disturbance parameters in railway operational simulation based on reinforcement learning , 2016, J. Rail Transp. Plan. Manag..

[15]  Anna Bergström,et al.  Modeling passenger train delay distributions : evidence and implications , 2012 .

[16]  Christophe Picouleau,et al.  Modelling passenger train arrival delays with Generalized Linear Models and its perspective for scheduling at main stations , 2018 .

[17]  Liping Fu,et al.  Statistical investigation on train primary delay based on real records: evidence from Wuhan–Guangzhou HSR , 2017 .

[18]  Dirk Cattrysse,et al.  The train platforming problem: The infrastructure management company perspective , 2014 .

[19]  Christophe Picouleau,et al.  Estimating Long-Term Delay Risk with Generalized Linear Models , 2018, 2018 21st International Conference on Intelligent Transportation Systems (ITSC).

[20]  Miguel A. Salido,et al.  An Assessment of Railway Capacity , 2008 .

[21]  John Preston,et al.  Capacity utilisation and performance at railway stations , 2017, J. Rail Transp. Plan. Manag..

[22]  Thorsten Büker,et al.  Stochastic modelling of delay propagation in large networks , 2012, J. Rail Transp. Plan. Manag..

[23]  Jianxin Yuan,et al.  Stochastic modelling of train delays and delay propagation in stations , 2006 .