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Communications in Mathematical Sciences, ISSN 1539-6746, 2017, Volume 15, Issue 1, pp. 261 - 287
We prove existence and uniqueness of solutions to a transport equation modelling vehicular traffic in which the velocity field depends non-locally on the... 
Wasserstein distance | Transport equations | Macroscopic traffic flow models | Micro-macro limits | Non-local velocity | micro-macro limits | MATHEMATICS, APPLIED | non-local velocity | WAVES | macroscopic traffic flow models | SIMULATION
Journal Article
Methodology and Computing in Applied Probability, ISSN 1387-5841, 12/2019, Volume 21, Issue 4, pp. 1023 - 1044
We study a single server queue, where a certain type of dependence is introduced between the service times, or between the inter-arrival times, or both between... 
Waiting time distribution | Mixing | Statistics and Probability | Duality between risk and queueing models | Mathematics(all) | Dependence | 90B20 | Life Sciences, general | Statistics, general | 60K25 | Statistics | Economics, general | Business and Management, general | Electrical Engineering
Journal Article
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 07/2019, Volume 99, Issue 7, p. n/a
Journal Article
Transportation Research Part B, ISSN 0191-2615, 03/2014, Volume 61, pp. 73 - 97
•The on-and-off (OAO) signal model and its continuum approximation are compared.•The continuum signal model has a number of computational and modeling... 
Traffic signal | Approximation error | Continuum approximation | LWR model | Vehicle spillback | Convergence | TRANSPORTATION | KINEMATIC WAVES | CELL TRANSMISSION MODEL | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRANSPORTATION SCIENCE & TECHNOLOGY | ECONOMICS | VICKREYS BOTTLENECK MODEL | DIFFERENTIAL-EQUATION FORMULATION
Journal Article
ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 11/2019, Volume 99, Issue 11, p. n/a
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 10/2019, Volume 16, Issue 5, pp. 1 - 21
We consider the vanishing viscosity approximation of the traffic model LWR with degenerate diffusivity on a networks composed by a single junction with n... 
compensated compactness | 90B20 | conservation law | Degenerate diffusivity | Mathematics, general | Mathematics | traffic model | vanishing viscosity | networks | 35L65 | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | HYDRODYNAMIC MODELS | FLOW | Environmental law | Analysis
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2019, Volume 70, Issue 1, pp. 1 - 24
Journal Article
Kinetic and Related Models, ISSN 1937-5093, 12/2018, Volume 11, Issue 6, pp. 1333 - 1358
We investigate a stochastic model hierarchy for pedestrian flow. Starting from a microscopic social force model, where the pedestrians switch randomly between... 
Numerical simulations | Hydrodynamic limit | Macroscopic pedestrian model | Interacting particle system | Stochastic processes | Mean field equations | MATHEMATICS | numerical simulations | MATHEMATICS, APPLIED | mean field equations | hydrodynamic limit | DYNAMICS | EQUATIONS | LIMIT | stochastic processes | macroscopic pedestrian model
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 8/2015, Volume 25, Issue 4, pp. 827 - 859
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 12/2014, Volume 24, Issue 6, pp. 2527 - 2559
Journal Article
Stochastic Models, ISSN 1532-6349, 04/2013, Volume 29, Issue 2, pp. 149 - 189
The overflow priority classification approximation (OPCA) and Erlang's fixed-point approximation (EFPA) are distinct methods for estimating blocking... 
Secondary 26D15, 26D05, 60K25 | Overflow priority classification | Blocking probability | Erlang fixed-point approximation (EFPA) | Overflow loss models | Teletraffic | Primary 60K30, 90B20 | Primary 60K30 | VIDEO | STATISTICS & PROBABILITY | DEMAND | 90B20 | CIRCUIT-SWITCHED NETWORKS | SYSTEMS | 60K25 | FORMULAS | Secondary 26D15 | 26D05 | MOMENTS
Journal Article
Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 6/2016, Volume 47, Issue 2, pp. 533 - 544
We present two frameworks for the description of traffic flow. First, we consider the coupling of a micro- and a macroscopic models, the former consisting in a... 
macroscopic traffic models | 90B20 | Theoretical, Mathematical and Computational Physics | hyperbolic systems of conservation laws | Mathematics, general | Mathematics | 35L65 | MATHEMATICS | WAVES | Environmental law | Analysis | Models
Journal Article
Numerische Mathematik, ISSN 0029-599X, 3/2015, Volume 129, Issue 3, pp. 405 - 447
Journal Article