nach oben

Erschienen in:

2019 | OriginalPaper | Buchkapitel

7. Conclusion: Convergence Versus Branching Out

verfasst von : Femke Kessels

Erschienen in: Traffic Flow Modelling

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In the previous chapters, four different families of traffic flow models were discussed. In this chapter we compare them, highlight their differences and discuss their applications.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel Mesoscopic Models

Nächstes Kapitel Answers to Selected Problems

Bellomo N, Dogbe C (2011) On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. SIAM Rev 53:409–463

Brackstone M, McDonald M (1999) Car-following: a historical review. Transp Res F Traffic Psychol Behav 2(4):181–196

Darbha S, Rajagopal KR, Tyagi V (2008) A review of mathematical models for the flow of traffic and some recent results. Nonlinear Anal Theory Methods Appl 69(3):950–970

Papageorgiou M (1998) Some remarks on macroscopic traffic flow modelling. Transp Res A Policy Pract 32(5):323–329

Delis A, Nikolos I, Papageorgiou M (2014) High-resolution numerical relaxation approximations to second-order macroscopic traffic flow models. Transp Res C Emerg Technol 44:318–349

Helbing D (2001) Traffic and related self-driven many-particle systems. Rev Mod Phys 73:1067–1141

Kerner BS (2009) Introduction to modern traffic flow theory and control: the long road to three-phase traffic theory. Springer, Berlin

Orosz G, Wilson RE, Stépán G (2010) Traffic jams: dynamics and control. Philos Trans R Soc A Math Phys Eng Sci 368:4455–4479

Treiber M, Kanagaraj V (2015) Comparing numerical integration schemes for time-continuous car-following models. Phys A Stat Mech Appl 419:183–195

Treiber M, Kesting A, Helbing D (2010) Three-phase traffic theory and two-phase models with a fundamental diagram in the light of empirical stylized facts. Transp Res B Methodol 44(8–9):983–1000

Tyagi V, Darbha S, Rajagopal KR (2008) A dynamical systems approach based on averaging to model the macroscopic flow of freeway traffic. Nonlinear Anal Hybrid Syst 2(2):590–612. In: Proceedings of the international conference on hybrid systems and applications, Lafayette, LA, USA, May 2006: Part II

van Wageningen-Kessels FLM (2013) Multi class continuum traffic flow models: analysis and simulation methods. Ph.D. thesis, Delft University of Technology/TRAIL Research school, Delft

van Wageningen-Kessels FLM, Schreiter T, van Lint JWC, Hoogendoorn SP (2011) Modelling traffic flow phenomena. In: 2nd international conference on models and technologies for ITS, Leuven, Belgium

van Wageningen-Kessels FLM, Yuan Y, Hoogendoorn SP, van Lint JWC, Vuik C (2013) Discontinuities in the Lagrangian formulation of the kinematic wave models. Transp Res C Emerg Technol 34:148–161CrossRef

Wilson RE (2008) Mechanisms for spatio-temporal pattern formation in highway traffic models. Philos Trans R Soc A Math Phys Eng Sci 366(1872):2017–2032CrossRef

Aghabayk K, Sarvi M, Young W (2015) A state-of-the-art review of car-following models with particular considerations of heavy vehicles. Transp Rev 35(1):82–105

Barceló J (ed) (2010) Fundamentals of traffic simulation, international series in operations research & management science, vol 145. Springer, New York