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Articles de revues sur le sujet « Traffic flow Mathematical models »

Auteur : Grafiati

Publié le 4 juin 2021

Mis à jour le 31 janvier 2023

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1

McCartney, M. "Comparing mathematical models of traffic flow." Teaching Mathematics and its Applications 19, no. 4 (December 1, 2000): 183–87. http://dx.doi.org/10.1093/teamat/19.4.183.

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Junevičius, Raimundas, and Marijonas Bogdevičius. "MATHEMATICAL MODELLING OF NETWORK TRAFFIC FLOW." TRANSPORT 24, no. 4 (December 31, 2009): 333–38. http://dx.doi.org/10.3846/1648-4142.2009.24.333-338.

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The article describes mathematical models of traffic flows to initiate different traffic flow processes. Separate elements of traffic flow models are made in a way to be connected together to get a single complex model. A model of straight road with different boundary conditions is presented as a separate part of the network traffic flow model. First testing is conducted in case the final point of the whole modelled traffic line is closed and no output from that point is possible. The second test is performed when a constant value of traffic flow speed and traffic flow rate is entered. Mathema

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3

Takači, Arpad. "Mathematical and simulation models of traffic flow." PAMM 5, no. 1 (December 2005): 633–34. http://dx.doi.org/10.1002/pamm.200510293.

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Junevičius, Raimundas, Marijonas Bogdevičius, and Ádám Török. "MODELLING OF INTERNAL COMBUSTION ENGINES’ EMISSION THROUGH THE USE OF TRAFFIC FLOW MATHEMATICAL MODELS." TRANSPORT 26, no. 3 (October 5, 2011): 271–78. http://dx.doi.org/10.3846/16484142.2011.621978.

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Road traffic flows on a straight road segment are modelled in this article. The mathematical model of traffic flows has been constructed by using the method of lumped parameters. CO2, CO, CH, NOx, PM regression equations of internal combustion engines’ (ICE) emission has been developed. The accuracy of regression equations is 0.98÷0.99. The article presents assumptions for constructing the mathematical model, description of the mathematical model and gives simulation results. Traffic flow parameters, such as traffic flow concentration and traffic flow speed are presented as modelling results.

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Otegen, Diana Assankhankyzy. "MODELS OF TRAFFIC FLOW DYNAMICS ON HIGHWAYS." Вестник КазАТК 116, no. 1 (March 15, 2021): 236–41. http://dx.doi.org/10.52167/1609-1817-2021-116-1-236-241.

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The paper is an analytical review of the currently existing methods of traffic flows modeling. The movement of vehicles on the road can be modeled in different ways. Mathematical models as tools that allow us to study complex processes in the real world, including transport infrastructure, without capital expenditures, are a popular tool for solving many problems in various spheres of the national economy. There are several approaches to mathematical modeling of traffic flows. In microscopic models, the law of motion of each car is set, depending on its current position, speed, characteristics

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Guseynov, Sharif E., and Alexander V. Berezhnoy. "MODELLING OF URBAN TRAFFIC FLOW." Environment. Technology. Resources. Proceedings of the International Scientific and Practical Conference 1 (June 15, 2017): 109. http://dx.doi.org/10.17770/etr2017vol1.2632.

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In this paper non-deterministic motion of urban traffic is studied under certain assumptions. Based on those assumptions discrete and continuous mathematical models are developed: continuous model is written as the Cauchy initial-value problem for the integro-differential equation, whence among other things it is obtained the Fokker-Planck equation. Besides, the sufficient condition ensuring the mathematical legitimacy of the developed continuous model is formulated.

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Tyagi, V., S. Darbha, and K. R. Rajagopal. "A review of the mathematical models for traffic flow." International Journal of Advances in Engineering Sciences and Applied Mathematics 1, no. 1 (July 2009): 53–68. http://dx.doi.org/10.1007/s12572-009-0005-8.

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POSPELOV, PAVEL I., ALEXANDER G. TATASHEV, ALEXEY V. TERENTYEV, MARIA Yu KARELINA, and MARINA V. YASHINA. "BARTLETT FLOWS AND MATHEMATICAL DESCRIPTION OF MOTOR TRAFFIC FLOWS." H&ES Research 13, no. 6 (2021): 34–41. http://dx.doi.org/10.36724/2409-5419-2021-13-6-34-41.

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Introduction: The class of mathematical traffic models is based on the theory of queuing. In these models, the application entering the service system corresponds to the vehicle. When developing a traffic model formulated in terms of queuing, it is necessary to specify a random flow that is incoming to the queuing system. The purpose of the study: Traditional queuing systems with recurrent incoming flow under appropriate conditions do not reflect the specific features of real traffic flows. Under certain conditions, for example, it may be appropriate to use a Markov-type flow in the model, the

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Bazaras, Jonas, Janina Jablonskytė, and Eglė Jotautienė. "INTERDEPENDENCE OF NOISE AND TRAFFIC FLOW." TRANSPORT 23, no. 1 (March 31, 2008): 67–72. http://dx.doi.org/10.3846/1648-4142.2008.23.67-72.

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Traffic flows in cities, especially in city centres, are intensive and uneven, moreover, registered noise levels exceed allowable limits. Noise levels have been measured at K. Mindaugo ave. and Birštono street crossing in Kaunas and data of automated traffic flow registration equipment have been used. A constant reduction of noise level from the beginning till the end of the green light has been identified ‐ “hot starts” generated noise dominates. To make estimates of noise and traffic flow interdependency, mathematical statistical models have been applied. Parameter distribution patterns have

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Oleg Fyodorovich Danilov, Victor Ivanovich Kolesov, Denis Alexandrovich Sorokin, and Maxim Leonidovich Gulaev. "Study on the Vehicle Linear Dynamic Interval in a Traffic Flow." Communications - Scientific letters of the University of Zilina 23, no. 1 (January 4, 2021): E11—E22. http://dx.doi.org/10.26552/com.c.2021.1.e11-e22.

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The transportation industry of a modern city involves the effective systems for the road traffic management. To manage any object is impossible without understanding its specifics. The tasks of road traffic management are based on mathematical models of traffic flows. The “following the leader” model based on the linear dynamic interval of vehicles has become widely accepted in the model analysis. The paper discusses the mathematical model of the linear dynamic interval of vehicles; the model is identified structurally and parametrically. Coefficients of the model are analyzed in detail; a gen

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De Angelis, E. "Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems." Mathematical and Computer Modelling 29, no. 7 (April 1999): 83–95. http://dx.doi.org/10.1016/s0895-7177(99)00064-3.

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12

Twarock, Reidun. "Quadratic algebras in traffic flow models." Reports on Mathematical Physics 51, no. 2-3 (April 2003): 381–89. http://dx.doi.org/10.1016/s0034-4877(03)80030-7.

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13

Karelina, Maria Yu, Pavel I. Pospelov, Yuri V. Trofimenko, Alexey V. Terentyev, Alexander G. Tatashev, and Marina V. Yashina. "Mathematical models for traffic flows on highways with intersections and junctions." T-Comm 15, no. 11 (2021): 61–68. http://dx.doi.org/10.36724/2072-8735-2021-15-11-61-68.

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Mathematical models of motor traffic flow on highway sections on highway sections near intersections or flow segregation sections are considered. In these models, the particles corresponding to motor vehicles move according to probabilistic rules along a cellular field that moves at a constant speed in the direction coinciding with the direction of movement of the particles. A cell field consists of sequences of cells. Each such sequence corresponds to a lane on the highway. The time scale in the model is discrete or continuous. The model is a dynamic system with a discrete state space and dis

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Schadschneider, A., and M. Schreckenberg. "Cellular automation models and traffic flow." Journal of Physics A: Mathematical and General 26, no. 15 (August 7, 1993): L679—L683. http://dx.doi.org/10.1088/0305-4470/26/15/011.

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15

Shevtsova, Anastasiya, Marina Yablonovskaya, and Alexey Borovskoy. "Origin-Destination Matrix as a Way to Create a Basic Algorithm for Simulation a Load of Transport Network." Applied Mechanics and Materials 725-726 (January 2015): 1218–23. http://dx.doi.org/10.4028/www.scientific.net/amm.725-726.1218.

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Article is devoted to studying of traffic flows using the origin-destination matrix. The first paragraph of this article deals with the possibility of applying the origin-destination matrix when modeling load of transport network. The types of transportations, the factors that affect the loading of the transport network are described. The concept of a generalized path cost, interdistrict transportations and some others are considered. There are proposed several steps to create a origin-destination matrix. In the second paragraph of the paper is proposed the classification of mathematical model

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Velasco, Rosa María, and Patricia Saavedra. "Macroscopic Models in Traffic Flow." Qualitative Theory of Dynamical Systems 7, no. 1 (July 9, 2008): 237–52. http://dx.doi.org/10.1007/s12346-008-0014-1.

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17

Abrahamowicz, Ewa, and Przemysław Orłowski. "Mathematical Model of Traffic Flow in a Macroscopic Scale." Pomiary Automatyka Robotyka 21, no. 3 (September 30, 2017): 5–10. http://dx.doi.org/10.14313/par_225/5.

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18

Dong, Yu Bo. "Discussion on Urban Road Traffic Congestion Algorithm for Automatically Determining." Advanced Materials Research 926-930 (May 2014): 3790–93. http://dx.doi.org/10.4028/www.scientific.net/amr.926-930.3790.

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Compared with the expressway, most of the traffic flow in urban road network can be denoted as interrupted traffic flow. Based on the current employed equipment for traffic flow collection and traffic signal control in urban roads, different types of traffic flow in urban roads are analyzed with the traffic flow arrival/departure model in transportation engineering. Mathematical models complying with traffic flow changes are utilized to match the traffic flow in both entry and exit road blocks, thus, enabled the automatic detection of traffic incident. This algorithm provides a measurement for

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19

Trapeznikova, Marina Alexandrovna, Antonina Alexandrovna Chechina, and Natalia Gennadievna Churbanova. "Traffic flow dynamics on road network fragments using two-dimensional mathematical models." Keldysh Institute Preprints, no. 93 (2016): 1–20. http://dx.doi.org/10.20948/prepr-2016-93.

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20

Kerner, B. S., and S. L. Klenov. "Deterministic microscopic three-phase traffic flow models." Journal of Physics A: Mathematical and General 39, no. 23 (May 23, 2006): 7605. http://dx.doi.org/10.1088/0305-4470/39/23/c01.

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Kerner, Boris S., and Sergey L. Klenov. "Deterministic microscopic three-phase traffic flow models." Journal of Physics A: Mathematical and General 39, no. 8 (February 8, 2006): 1775–809. http://dx.doi.org/10.1088/0305-4470/39/8/002.

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22

Jiang, Rui, and Qing-Song Wu. "Cellular automata models for synchronized traffic flow." Journal of Physics A: Mathematical and General 36, no. 2 (December 17, 2002): 381–90. http://dx.doi.org/10.1088/0305-4470/36/2/307.

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23

Elmehdi, Hussein. "Assessing traffic noise in teh City of Sharjah using prediction models." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 2 (August 1, 2021): 4520–25. http://dx.doi.org/10.3397/in-2021-2725.

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Noise originated from traffic on inner-city roads has been recognized as a major issue that has negative effects that go beyond annoyance and adverse health effects on people living near such roads. In this paper, we report the results of employing mathematical models for assessing traffic noise levels near roads in the City of Sharjah, UAE. Our field measurements indicated high noise levels near inter-city roads including roads in residential areas. To further investigate this, measured noise levels arising from principle traffic noise parameters were re-examined using published mathematical

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24

Burinskienė, Marija, Denis Kapski, Valery Kasyanik, Anton Pashkevich, Aleksandra Volynets, and Oleg Kaptsevich. "Estimating Parameters for Traffic Flow Using Navigation Data on Vehicles." Baltic Journal of Road and Bridge Engineering 15, no. 4 (September 28, 2020): 1–21. http://dx.doi.org/10.7250/bjrbe.2020-15.492.

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The article describes the method for estimating transport flow parameters using the two-fluid Herman-Prigogine mathematical model developed considering the proposed method of estimating parameters for the system based on the passive processing of navigation data on the movement of vehicles. The efficiency of the suggested algorithms and mathematical models for estimating road traffic flow parameters and the system as a whole was confirmed performing tests using a set of tracks on the main highways of Belarus.

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25

Suleimen, A. А., G. B. Kashaganova, G. B. Issayeva, B. R. Absatarova, and M. C. Ibraev. "OPTIMIZATION OF MANAGEMENT OF URBAN LIGHTS WITH THE USE OF NEURAL NETWORKS." BULLETIN 389, no. 1 (February 10, 2021): 14–17. http://dx.doi.org/10.32014/2021.2518-1467.2.

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One of the most pressing problems of large cities is the problem of traffic management of vehicles. The reason for this problem is an imperfect way to manage traffic flows. Traffic light regulation is of particular importance in traffic management. Most modern traffic light control systems operate at set time intervals and are not able to cope with the constantly changing situation on the road. A promising direction for solving this problem is to optimize the system using artificial neural networks. The advantage of neural networks is self-learning, which allows the system to adapt to the chan

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26

Friedrich, Jan, Simone Göttlich, and Maximilian Osztfalk. "Network models for nonlocal traffic flow." ESAIM: Mathematical Modelling and Numerical Analysis 56, no. 1 (January 2022): 213–35. http://dx.doi.org/10.1051/m2an/2022002.

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We present a network formulation for a traffic flow model with nonlocal velocity in the flux function. The modeling framework includes suitable coupling conditions at intersections to either ensure maximum flux or distribution parameters. In particular, we focus on 1-to-1, 2-to-1 and 1-to-2 junctions. Based on an upwind type numerical scheme, we prove the maximum principle and the existence of weak solutions on networks. We also investigate the limiting behavior of the proposed models when the nonlocal influence tends to infinity. Numerical examples show the difference between the proposed cou

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27

Zhang, Honghai, Yan Xu, Lei Yang, and Hao Liu. "Macroscopic Model and Simulation Analysis of Air Traffic Flow in Airport Terminal Area." Discrete Dynamics in Nature and Society 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/741654.

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We focus on the spatiotemporal characteristics and their evolvement law of the air traffic flow in airport terminal area to provide scientific basis for optimizing flight control processes and alleviating severe air traffic conditions. Methods in this work combine mathematical derivation and simulation analysis. Based on cell transmission model the macroscopic models of arrival and departure air traffic flow in terminal area are established. Meanwhile, the interrelationship and influential factors of the three characteristic parameters as traffic flux, density, and velocity are presented. Then

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Coscia, V., M. Delitala, and P. Frasca. "On the mathematical theory of vehicular traffic flow II: Discrete velocity kinetic models." International Journal of Non-Linear Mechanics 42, no. 3 (April 2007): 411–21. http://dx.doi.org/10.1016/j.ijnonlinmec.2006.02.008.

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Delitala, Marcello. "Nonlinear models of vehicular traffic flow – new frameworks of the mathematical kinetic theory." Comptes Rendus Mécanique 331, no. 12 (December 2003): 817–22. http://dx.doi.org/10.1016/j.crme.2003.09.008.

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Paz, Alexander, Kul Shrestha, Cristian Arteaga, and Douglas Baker. "Calibration of Microscopic Traffic Flow Simulation Models considering Subsets of Links and Parameters." Journal of Advanced Transportation 2020 (October 31, 2020): 1–18. http://dx.doi.org/10.1155/2020/8897141.

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This study proposes a methodology for the calibration of microscopic traffic flow simulation models by enabling simultaneous selection of traffic links and associated parameters. The analyst selects any number and combination of links and model parameters for calibration. Most calibration methods consider the entire network and use ad hoc approaches without enabling a specific selection of location and associated parameters. In practice, only a subset of links and parameters is used for calibration based on several factors such as expert knowledge of the system or constraints imposed by local

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Cardaliaguet, Pierre, and Nicolas Forcadel. "From Heterogeneous Microscopic Traffic Flow Models to Macroscopic Models." SIAM Journal on Mathematical Analysis 53, no. 1 (January 2021): 309–22. http://dx.doi.org/10.1137/20m1314410.

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32

Chen, Jianzhong, Ronghui Liu, and Yanmei Hu. "High-resolution central-upwind scheme for second-order macroscopic traffic flow models." International Journal of Modern Physics C 31, no. 07 (June 23, 2020): 2050097. http://dx.doi.org/10.1142/s0129183120500977.

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Traffic flow models are important tools for traffic management applications such as traffic incident detection and traffic control. In this paper, we propose a novel numerical approximation method for second-order macroscopic traffic flow models. The method is based on the semi-discrete central-upwind numerical flux and high-order reconstructions for spatial discretizations. We then apply the designed high-resolution schemes to three representative types of second-order traffic flow models and perform a variety of numerical experiments to validate the proposed methods. The simulation results i

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MOUSSA, NAJEM. "DANGEROUS SITUATIONS IN TWO-LANE TRAFFIC FLOW MODELS." International Journal of Modern Physics C 16, no. 07 (July 2005): 1133–48. http://dx.doi.org/10.1142/s0129183105007790.

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This paper investigates the probability of car accidents (PCA) in two-lane traffic flow models. We introduce new conditions for the occurrence of dangerous situations (DS) caused by an unexpected lane changing vehicles. Two different lane changing rules are considered, say symmetric and asymmetric. For the symmetric rules, we investigate the influence of the Nagel–Schreckenberg parameters such as the maximal speed, the randomization probability, …, on the PCA when vehicle moves forward or changes lanes. It is found that the forward PCA is as likely as that in one-lane traffic model. As regards

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Jacyna-Gołda, Ilona, Jolanta Żak, and Piotr Gołębiowski. "MODELS OF TRAFFIC FLOW DISTRIBUTION FOR VARIOUS SCENARIOS OF THE DEVELOPMENT OF PROECOLOGICAL TRANSPORT SYSTEM." Archives of Transport 32, no. 4 (December 31, 2014): 17–28. http://dx.doi.org/10.5604/08669546.1146994.

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The paper is a result of a research work concerning the development of an environmentally friendly transport system - Project EMITRANSYS. The publication contains the issues of shaping the transport system, where important factor due to the aspect of sustainable development is including the external costs in transport activity. This paper presents a mathematical model of the distribution of the traffic flow in the transport network. The paper presents selected aspects of the problem of multi-variant distribution of the traffic stream on the network transport for defined scenarios for the trans

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Liang, Yongkai, Jingyuan Li, and Hai Liu. "GIS-based analysis of urban traffic model: Case study in Beijing." E3S Web of Conferences 268 (2021): 01056. http://dx.doi.org/10.1051/e3sconf/202126801056.

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Taking the traffic flow characteristics of Beijing's entire road network as the object, and using the low-frequency traffic big data of GIS (Geographic Information System), the roads of the whole road network are divided into four road grades, and the traffic flow-speed models are constructed respectively. In view of the deviation of the model calculation caused by the sudden rise and fall of the traveling vehicle at night, the flow of the traffic flow model is corrected by cubic polynomial fitting, and the mathematical model is compared, calibrated and verified. Focus on analyzing the influen

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Glushkov, Alexandr, and Vladimir Shepelev. "Development of Reliable Models of Signal-Controlled Intersections." Transport and Telecommunication Journal 22, no. 4 (November 1, 2021): 417–24. http://dx.doi.org/10.2478/ttj-2021-0032.

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Abstract The paper considers an approach to building various mathematical models for homogeneous groups of intersections manifested through the use of clustering methods. This is because of a significant spread in their traffic capacity, as well as the influence of several random factors. The initial data on the traffic flow of many intersections was obtained from real-time recorders of the convolutional neural network. As a result of the analysis, we revealed statistically significant differences between the groups of intersections and compiled their linear regression models as a basis for th

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Нагребельна Л. П. та Поліщук В. П. "ВИКОРИСТАННЯ ТЕОРІЇ МАСОВОГО ОБСЛУГОВУВАННЯ ДЛЯ УДОСКОНАЛЕННЯ УПРАВЛІННЯ ДОРОЖНІМ РУХОМ НА МАГІСТРАЛЬНІЙ ВУЛИЧНО-ДОРОЖНІЙ МЕРЕЖІ МІСТ". International Academy Journal Web of Scholar, № 4(46) (30 квітня 2020): 8–12. http://dx.doi.org/10.31435/rsglobal_wos/30042020/7039.

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The object of the study is the improvement of traffic management on the main street and road network of the city. Actually, there are many techniques that allow simulating the traffic flows with sufficient accuracy. One of such models is a mathematical model, which allows calculating the main characteristics of a traffic flow on the basis of a few initial data and is considered as a queuing system.Modeling allows pre-determining the impact of traffic management measures on the existing street and road network without creating interference for drivers, making changes to the design of road, incr

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Göttlich, Simone, Michael Herty, Salissou Moutari, and Jennifer Weissen. "Second-Order Traffic Flow Models on Networks." SIAM Journal on Applied Mathematics 81, no. 1 (January 2021): 258–81. http://dx.doi.org/10.1137/20m1339908.

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Marcellini, Francesca. "ODE-PDE models in traffic flow dynamics." Bulletin of the Brazilian Mathematical Society, New Series 47, no. 2 (June 2016): 533–44. http://dx.doi.org/10.1007/s00574-016-0167-5.

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MOUSSA, NAJEM. "SIMULATION STUDY OF TRAFFIC ACCIDENTS IN BIDIRECTIONAL TRAFFIC MODELS." International Journal of Modern Physics C 21, no. 12 (December 2010): 1501–15. http://dx.doi.org/10.1142/s0129183110016007.

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Conditions for the occurrence of bidirectional collisions are developed based on the Simon–Gutowitz bidirectional traffic model. Three types of dangerous situations can occur in this model. We analyze those corresponding to head-on collision; rear-end collision and lane-changing collision. Using Monte Carlo simulations, we compute the probability of the occurrence of these collisions for different values of the oncoming cars' density. It is found that the risk of collisions is important when the density of cars in one lane is small and that of the other lane is high enough. The influence of di

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Subotić, Marko, Nemanja Stepanović, Vladan Tubić, Edis Softić, and Mouhamed Bayane Bouraima. "Models of Analysis of Credible Deviation from Speed Limits on Two-Lane Roads of Bosnia and Herzegovina." Complexity 2022 (October 7, 2022): 1–13. http://dx.doi.org/10.1155/2022/2832175.

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Any deviation of speed in a traffic flow from a speed limit represents a potential risk of traffic accidents, so speed management appears as an imperative. However, an inadequately set speed limit often causes drivers’ noncompliance to it in the conditions of real traffic flow. By determining the value of exceeding the speed limit according to vehicle classes, it is possible to recommend a credible speeding value that can be considered credible up to a value above the speed limit. In this paper, deterministic multistep mathematical models of speed deviation from the speed limit as a function o

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Кадасев, D. Kadasev, Коротнев, and V. Korotnev. "MATHEMATICAL MODELING OF TRAFFIC FLOWS ON THE ROAD NETWORK CITY." Alternative energy sources in the transport-technological complex: problems and prospects of rational use of 3, no. 1 (March 16, 2016): 236–40. http://dx.doi.org/10.12737/17887.

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This article describes a practical method of constructing mathematical models of traffic flow, the most suitable for a particular city highway. The initial data are: instant speed, time, distance, flux density, intensity of movement of vehicles. Using the obtained data, built regression model, and conducted correlation analysis. The choice of the mathematical model that most faithfully describes the transport process was made on the basis of the correlation coefficient

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Vasyutina, A. A., V. V. Popov, A. I. Kondratyev, and A. L. Boran-Keshishyan. "Improvement of the vessel traffic control system for accident-free electronic navigation in the port area." Journal of Physics: Conference Series 2061, no. 1 (October 1, 2021): 012105. http://dx.doi.org/10.1088/1742-6596/2061/1/012105.

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Abstract The increase in the intensity of navigation leads to unsafe navigation, which necessitates the improvement of existing measures to ensure safe navigation using specific mathematical models and methods. The configuration of the mathematical model of the traffic flow of ships obtained in this study is realizable on modern computer technology and can be applied by embedding advanced ship traffic control systems, which is an object of the infrastructure of a modern seaport.

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Hoogendoorn, Serge P., and Piet H. L. Bovy. "Modeling Multiple User-Class Traffic." Transportation Research Record: Journal of the Transportation Research Board 1644, no. 1 (January 1998): 57–69. http://dx.doi.org/10.3141/1644-07.

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In contemporary traffic flow theory, the distinction between user classes is rarely made. However, we envisage that the accuracy and the descriptive power of the macroscopic traffic flow models can be improved significantly by separating user classes and their specific flow characteristics. As a consequence, the possibility of improved estimation and prediction of traffic flow conditions becomes available. Additionally, the availability of a realistic multiple user-class traffic flow model enables the automated generation of user-dedicated traffic control policies by means of mathematical opti

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BORSCHE, R., A. KLAR, S. KÜHN, and A. MEURER. "COUPLING TRAFFIC FLOW NETWORKS TO PEDESTRIAN MOTION." Mathematical Models and Methods in Applied Sciences 24, no. 02 (December 12, 2013): 359–80. http://dx.doi.org/10.1142/s0218202513400113.

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In this paper scalar macroscopic models for traffic and pedestrian flows are coupled and the resulting system is investigated numerically. For the traffic flow the classical Lighthill–Whitham Richards model on a network of roads and for the pedestrian flow the Hughes model are used. These models are coupled via terms in the fundamental diagrams modeling an influence of the traffic and pedestrian flow on the maximal velocities of the corresponding models. Several physical situations, where pedestrians and cars interact, are investigated.

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Taha, Mohammed Y., and Abd Al-Kareem N. Abood. "A Statistical Analysis of Traffic Flow Characteristics of Multilane Highways in Baghdad City, Part A: Traffic Elements Characteristics." Tikrit Journal of Engineering Sciences 14, no. 3 (September 30, 2007): 1–23. http://dx.doi.org/10.25130/tjes.14.3.01.

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Basic traffic elements (flow, speed, density) are used in many stages of transportation process. Flow-speed-density relationship isan important concept, which translates traffic stream characteristicsinto mathematical or statistical rnodels. These models are widely usedin transportation engineering. The main objective of this research is finding out the nature of the relationships between the basic traffic elements characteristics for multi-lane highways in Baghdad city. Data has been collected throughout an extensive field survey on twenty selected sections in the study area. Photograph techn

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Darbha, S., K. R. Rajagopal, and V. Tyagi. "A review of mathematical models for the flow of traffic and some recent results." Nonlinear Analysis: Theory, Methods & Applications 69, no. 3 (August 2008): 950–70. http://dx.doi.org/10.1016/j.na.2008.02.123.

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Knowles, J. K. "On entropy conditions and traffic flow models." ZAMM 88, no. 1 (January 16, 2008): 64–73. http://dx.doi.org/10.1002/zamm.200700093.

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Bassan, Shy, Abishai Polus, and Ardeshir Faghri. "Modeling of freeway breakdown process with log-periodic oscillations." Canadian Journal of Civil Engineering 34, no. 12 (December 2007): 1577–86. http://dx.doi.org/10.1139/l07-071.

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Urban and suburban freeways are designed to allow smooth traffic flow at high speed. However, when traffic demand is high or during irregular events, significant congestion may develop. Traffic breakdown occurs during the phase transition from dense congested stable (DCS) flow to breakdown flow. In this study, the process of freeway flow breakdown was investigated by calibrating models in the density–time plane using morning peak data from Interstate 66, a US highway connecting Washington, D.C., and Virginia. It was shown that the models, which describe the collective behavior of drivers using

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Mohammadian, Saeed, and Femke van Wageningen-Kessels. "Improved Numerical Method for Aw-Rascle Type Continuum Traffic Flow Models." Transportation Research Record: Journal of the Transportation Research Board 2672, no. 20 (July 24, 2018): 262–76. http://dx.doi.org/10.1177/0361198118784402.

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Continuum traffic flow models are essentially nonlinear hyperbolic systems of partial differential equations. Except for limited specific cases, these systems must be solved numerically. Mathematical structure of continuum models can be different for each class of models. As a result, suitable numerical schemes for some classes may not be efficient for others. In this study, an improved numerical method is proposed for a class of second-order traffic flow models. The method is based on McCormack scheme, which is a widely-used method for non-homogeneous second-order traffic flow models, but fai

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