Abstract
In this paper, we propose a new network representation for modeling schedule-based transit systems. The proposed network representation, called trip-based, uses transit vehicle trips as network edges and takes into account the transfer stop hierarchy in transit networks. Based on the trip-based network, we propose a set of path algorithms for schedule-based transit networks, including algorithms for the shortest path, a logit-based hyperpath, and a transit A*. The algorithms are applied to a large-scale transit network and shown to have better computational performance compared to the existing labeling algorithms.
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References
Ahuja RK, Magnanti TL, Orlin JB (1993) Network flows: theory, algorithms, and applications. Prentice Hall, NJ
Bander J.L., and White C.C., (1991). A new route optimization algorithm for rapid decision support. Proceeding of IEEE Conference on Vehicle Navigation and Information Systems.
Chabini I, Shan L (2002) Adaptations of the A* algorithm for the computation of fastest paths in deterministic discrete-time dynamic networks. Intell Transp Syst IEEE Trans 3(1):60–74
GTFS Data Exchange (2010). https://developers.google.com/transit/gtfs, Accessed Jan, 2010.
De Cea J, Fernandez E (1993) Transit assignment for congested public transport systems: an equilibrium model. Transplant Sci 27(2):133–147
Dijkstra E (1959) A note on two problems in connection with graphs. Numer Math 1:269–271
Fisk C (1980) Some developments in equilibrium traffic assignment. Transp Res B 14(3):243–255
Hamdouch Y, Lawphongpanich S (2008) Schedule-based transit assignment model with travel strategies and capacity constraints. Transp Res B 42(7–8):663–684
Hamdouch Y, Marcotte P, Nguyen S (2004) A strategic model for dynamic traffic assignment. Netw Spat Econ 4(3):291–315
Hart EP, Nilsson NJ, Raphael B (1968) A formal basis for the heuristic determination of minimum cost paths. Syst Sci Cybern IEEE Trans ON 4(2):100–107
Khani A. (2013). Models and solution algorithms for transit and intermodal passenger assignment (Development of FAST-TrIPs Model). PhD Dissertation, University of Arizona, Tucson AZ.
Khani A, Lee S, Hickman M, Noh H, Nassir N (2012) Intermodal path algorithm for time-dependent auto network and scheduled transit service. Transp Res Rec J Transp Res Board 2284:40–46
Khani A., Sall E., Zorn L. and Hickman M., (2013). Integration of the FAST-TrIPs person-based dynamic transit assignment model, the SF-CHAMP regional, activity- based travel demand model, and san francisco’s citywide dynamic traffic assignment model. Proceedings of the 92nd Annual Meeting of Transportation Research Board, Washington DC.
Khani A., Bustillos B., Noh H., Chiu Y.C., and Hickman M., (2014). Modeling transit and intermodal tours in a dynamic multimodal network. Proceeding of the 93rd Annual Meeting of the Transportation Research Board, Washington DC.
Koncz N, Greenfeld J, Mouskos K (1996) A strategy for solving static multiple optimal path transit network problem. J Transp Eng 122(3):218–225
Larrain H, Muñoz JC (2008) Public transit corridor assignment assuming congestion due to passenger boarding and alighting. Netw Spat Econ 8(2–3):241–256
Liu C.L., Pai T.E., Chang C.T., and Hsieh C.M., (2001). Path-planning algorithms for public transportation systems. Proceeding of the 4th International IEEE Conference on Intelligent Transportation Systems, Oakland, California, USA.
Marcotte P, Nguyen S, Schoeb A (2004) A strategic flow model of traffic assignment in static capacitated networks. Oper Res 52(2):191–212
Moore EF (1957) The shortest path through a maze. Proceeding of the international symposium on the theory of switching, vol 2, The Annuals of the Computation Laboratory of Harvard University 30. Harvard University Press, Cambridge
Nassir N, Khani A, Hickman M, Noh H (2012) Algorithm for intermodal optimal multidestination tour with dynamic travel times. Transp Res Rec J Transp Res Board 2283:57–66
Nguyen S, Pallottino S (1988) Equilibrium traffic assignment for large-scale transit networks. Eur J Oper Res 37(2):176–186
Nguyen S, Pallottino S, Gendreau M (1998) Implicit enumeration of hyperpaths in a logit model for transit networks. Transp Sci 32(1):54–64
Nguyen S, Pallottino S, Malucelli F (2001) A modeling framework for passenger assignment on a transport network with timetables. Transp Sci 35(3):238–249
Noh H, Hickman M, Khani A (2012a) Hyperpaths in network based on transit schedules. Transp Res Rec J Transp Res Board 2284:29–39
Noh H, Hickman M, Khani A (2012b) Logit-based congested transit assignment using hyperpaths on a scheduled transit network, presented at the 4th international symposium on dynamic traffic assignment. Martha’s Vineyard, MA
Nuzzolo A, Russo F, Crisalli U (2001) A doubly dynamic schedule-based assignment model for transit networks. Transp Sci 35(3):268–285
Raveau S, Gau Z., Munoz J.C., Wilson, N.H.M., (2012). Route choice modeling on metro networks. Proceeding of Conference on Advanced Systems for Public Transit, Santiago, Chile.
Schmöcker J, Bell M, Kurauchi F (2008) A quasi-dynamic capacity constrained frequency-based transit assignment model. Transp Res B 42:925–945
Spiess H, Florian M (1989) Optimal strategies: a new assignment model for transit networks. Transp Res B 23(2):83–102
Teklu F (2008) A stochastic process approach for frequency-based transit assignment with strict capacity constraints. Netw Spat Econ 8(2–3):225–240
Tong CO, Richardson AJ (1984) A computer model for finding the time-dependent minimum path in a transit system with a fixed schedule. J Adv Transp 18(2):145–161
Acknowledgments
This study has been funded by the Exploratory Advanced Research Program (EARP) of the Federal Highway Administration, and by the Strategic Highway Research Program 2 (SHRP2) Project C10-B. Appreciation is given to the University of Arizona Transit Research Unit (UATRU) members and to two anonymous reviewers for their ideas and comments.
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Khani, A., Hickman, M. & Noh, H. Trip-Based Path Algorithms Using the Transit Network Hierarchy. Netw Spat Econ 15, 635–653 (2015). https://doi.org/10.1007/s11067-014-9249-3
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DOI: https://doi.org/10.1007/s11067-014-9249-3