An assignment model for public transport networks with both schedule- and frequency-based services

This paper presents an assignment modeling framework for public transport networks with co-existing schedule- and frequency-based services. The paper develops, applies and discusses a joint model, which aims at representing the behavior of passengers as realistically as possible. The model consists of a choice set generation phase followed by a multinomial logit route choice model and assignment of flow to the generated alternatives. The choice set generation uses an event dominance principle to exclude alternatives with costs above a certain cost threshold. Furthermore, a heuristic for aggregating overlapping lines is proposed. The results from applying the model to a case study in the Greater Copenhagen Area show that the level of service obtained in the unified network model of mixed services is placed between the level of service for strictly schedule-based and strictly frequency-based networks. The results also show that providing timetable information to the passengers improve their utility function as compared to only providing information on frequencies.

[1]  Rob van Nes,et al.  Application of Constrained Enumeration Approach to Multimodal Choice Set Generation , 2007 .

[2]  M. Florian Finding Shortest Time-Dependent Paths in Schedule-Based Transit Networks: A Label Setting Algorithm , 2004 .

[3]  K. Train Discrete Choice Methods with Simulation , 2003 .

[4]  Otto Anker Nielsen,et al.  Passenger arrival and waiting time distributions dependent on train service frequency and station characteristics: A smart card data analysis , 2018 .

[5]  Fumitaka Kurauchi,et al.  Generation and calibration of transit hyperpaths , 2013 .

[6]  Nigel H. M. Wilson,et al.  Schedule-based modeling of transportation networks : theory and applications , 2009 .

[7]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[8]  Otto Anker Nielsen,et al.  Optimisation of timetable-based, stochastic transit assignment models based on MSA , 2006, Ann. Oper. Res..

[9]  Otto Anker Nielsen,et al.  Multimodal route choice models of public transport passengers in the Greater Copenhagen Area , 2017, EURO J. Transp. Logist..

[10]  Otto Anker Nielsen,et al.  A Stochastic Traffic Assignment Model Considering Differences in Passengers Utility Functions , 2000 .

[11]  Pierluigi Coppola,et al.  Assessment of schedule-based and frequency-based assignment models for strategic and operational planning of high-speed rail services , 2016 .

[12]  Edwin G. Olds A Note on the Convolution of Uniform Distributions , 1952 .

[13]  P. Robillard,et al.  Common Bus Lines , 1975 .

[14]  Markus Friedrich,et al.  Timetable-Based Transit Assignment Using Branch and Bound Techniques , 2001 .

[15]  Otto Anker Nielsen,et al.  Stochastic user equilibrium with a bounded choice model , 2018, Transportation Research Part B: Methodological.

[16]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[17]  Enrique Fernández,et al.  Transit Assignment for Congested Public Transport Systems: An Equilibrium Model , 1993, Transp. Sci..

[18]  Jonathan M. Bunker,et al.  Transit Users’ Route‐Choice Modelling in Transit Assignment: A Review , 2010 .

[19]  Guido Gentile,et al.  Modelling Public Transport Passenger Flows in the Era of Intelligent Transport Systems , 2016 .

[20]  Carlo G. Prato,et al.  Route choice modeling: past, present and future research directions , 2009 .