Dynamic user equilibrium in public transport networks with passenger congestion and hyperpaths |
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| Institution: | 1. Centre for Transport Studies, Imperial College London, Skempton Building, South Kensington Campus, London SW7 2BU, UK;2. Dipartimento di Ingegneria Civile, Edile e Ambientale, Universitá La Spaienza, Via Eudossiana, 18, 00184 Rome, Italy;3. Institute of Transport and Logistics Studies, University of Sydney, Newtown Campus C3, NSW 2006, Australia;4. City Collaborative Transport Hub, City University London, Northampton Square, London EC1V 0HB, UK;1. WSP Analysis & Strategy, Sweden;2. Department for Transport Science, KTH Royal Institute of Technology, Sweden;1. Department of Experimental Medicine, Section of Medical Pathophysiology, Food Science and Endocrinology, Sapienza – University of Rome, Rome, Italy;2. Department of Urology, University of Catania, Catania, Italy;3. Endocrinology Unit, Medical Department, Azienda Usl, Maggiore-Bellaria Hospital, Bologna, Italy;4. Department of Neurosciences, Sciences of Reproduction, and Odontostomatology, University of Naples Federico II, Naples, Italy;1. BRSI, Belgian Road Safety Institute, Belgium;2. SWOV Institute for Road Safety Research and VU University Amsterdam, The Netherlands;3. IFSTTAR, French Institute of Science and Technology for Transports, Development, and Networks, France;4. NTUA, National Technical University of Athens, Greece;5. Hasselt University, Transportation Research Institute, Belgium;6. ASPB, Agència de Salut Pública de Barcelona, CIBER de Epidemiología y Salud Pública (CIBERESP), Institut d’Investigació Biomèdica Sant Pau (IIB Sant Pau), Barcelona, Spain;7. La Sapienza University of Rome, Research Centre for Transport and Logistics, Italy;1. Dept. of Shipping, Trade and Transport, University of the Aegean Business School, Chios 82100, Greece;3. Institute of Transport and Logistics Studies (ITLS), University of Sydney Business School, NSW 2006, Australia;1. Université Paris-Est, COSYS, GRETTIA, IFSTTAR, F-77447 Marne-la-Vallée, France;2. Université de Versailles Saint-Quentin-en-Yvelines, France |
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| Abstract: | This paper presents a dynamic user equilibrium for bus networks where recurrent overcrowding results in queues at stops. The route-choice model embedded in the dynamic assignment explicitly considers common lines and strategies with alternative routes. As such, the shortest hyperpath problem is extended to a dynamic scenario with capacity constraints where the diversion probabilities depend on the time at which the stop is reached and on the expected congestion level at that time. In order to reproduce congestion for all the lines sharing a stop, the Bottleneck Queue Model with time-varying exit capacity, introduced in Meschini et al. (2007), is extended. The above is applied to separate queues for each line in order to satisfy the First-In-First-Out principle within every attractive set, while allowing overtaking among passengers with different attractive sets but queuing single file. The application of the proposed model to a small example network clearly reproduces the formation and dispersion of passenger queues due to capacity constraints and thus motivates the implementation of the methodology on a real-size network case as the next step for future research. |
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| Keywords: | Dynamic transit assignment Dynamic shortest hyperpaths FIFO queues for attractive sets Erlang pdf |
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