Macroscopic modelling and analysis of rush-hour congestion
| Autor: | Balakrishna J. Prabhu, Dieter Fiems |
|---|---|
| Přispěvatelé: | SMACS Research Group, Universiteit Gent = Ghent University [Belgium] (UGENT), Équipe Services et Architectures pour Réseaux Avancés (LAAS-SARA), Laboratoire d'analyse et d'architecture des systèmes (LAAS), Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées, Universiteit Gent = Ghent University (UGENT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université de Toulouse (UT)-Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Private transport
050210 logistics & transportation 0303 health sciences Fluid limit Queueing theory Differential equation Computer science 05 social sciences 030311 toxicology Markov process 03 medical and health sciences symbols.namesake [INFO.INFO-NI]Computer Science [cs]/Networking and Internet Architecture [cs.NI] Macroscopic scale Rush hour 0502 economics and business symbols Computer Science::Networking and Internet Architecture Applied mathematics Fundamental diagram of traffic flow |
| Zdroj: | VALUETOOLS '20: 13th EAI International Conference on Performance Evaluation Methodologies and Tools VALUETOOLS '20: 13th EAI International Conference on Performance Evaluation Methodologies and Tools, 2020, Tsukuba, Japan. pp.11-18, ⟨10.1145/3388831.3388849⟩ VALUETOOLS |
| DOI: | 10.1145/3388831.3388849⟩ |
| Popis: | International audience; We consider a Markovian queueing model for computing the traffic density and travel times in a city at a macroscopic scale during rush hour. Accounting for the speed/density relation of the macroscopic fundamental diagram of traffic flow, we assume that the service rates of the queueing model at hand are state-dependent. We focus on the fluid limit and obtain a set of differential equations that describe the evolution of the traffic density at the level of neighbourhoods. We also calculate the time dependent travel times and consider the rational time-dependent choice between public and private transport, assuming that there is a congestion-free public alternative to private transportation. Numerical examples reveal that a small reduction in peak traffic can significantly reduce the average travel times. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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