Mathematical modeling | Traffic flow

Traffic model

A traffic model is a mathematical model of real-world traffic, usually, but not restricted to, road traffic. Traffic modeling draws heavily on theoretical foundations like network theory and certain theories from physics like the kinematic wave model. The interesting quantity being modeled and measured is the traffic flow, i.e. the throughput of mobile units (e.g. vehicles) per time and transportation medium capacity (e.g. road or lane width). Models can teach researchers and engineers how to ensure an optimal flow with a minimum number of traffic jams. Traffic models often are the basis of a traffic simulation. (Wikipedia).

Video thumbnail

Simone Göttlich: Traffic flow models with non-local flux and extensions to networks

We present a Godunov type numerical scheme for a class of scalar conservation laws with nonlocal flux arising for example in traffic flow modeling. The scheme delivers more accurate solutions than the widely used Lax-Friedrichs type scheme and also allows to show well-posedness of the mode

From playlist Numerical Analysis and Scientific Computing

Video thumbnail

The Problem of Traffic: A Mathematical Modeling Journey

How can we mathematically model traffic? Specifically we will study the problem of a single lane of cars and the perturbation from equilibrium that occurs when one car brakes, and that braking effect travels down the line of cars, amplifying as it goes along, due to the delayed reaction ti

From playlist Cool Math Series

Video thumbnail

Modeling a Vehicle Powertrain - MATLAB and Simulink Video

Simscape Driveline™ is used to model a vehicle powertrain. Download a Dual Clutch Transmission Model: http://goo.gl/rsjbSk Learn more about Simscape Driveline: http://goo.gl/CdUc2Y Try Simscape Driveline: https://goo.gl/BrlkoM The model includes an engine, torque converter, gears, tires, a

From playlist Physical Modeling

Video thumbnail

Data Modeling Tutorial | Data Modeling for Data Warehousing | Data Warehousing Tutorial | Edureka

***** Data Warehousing & BI Training: https://www.edureka.co/data-warehousing-and-bi ***** Data modeling is a process used to define and analyze data requirements needed to support the business processes within the scope of corresponding information systems in organizations. Therefore, th

From playlist Data Warehousing Tutorial Videos

Video thumbnail

Concept of a vector

This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com

From playlist Chapter 2 - Vectors

Video thumbnail

How Do Traffic Signals Work?

Traffic management in dense urban areas is an extremely complex problem with a host of conflicting goals and challenges. One of the most fundamental of those challenges happens at an intersection, where multiple streams of traffic - including vehicles, bikes and pedestrians - need to safel

From playlist Civil Engineering

Video thumbnail

Self-Driving Cars

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist Self-Driving Cars

Video thumbnail

Benjamin Seibold: "Basic Traffic Models and Traffic Waves" (Part 2/2)

Watch part 1/2 here: https://youtu.be/9_1cEtimRNE Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Basic Traffic Models and Traffic Waves" (Part 2/2) Benjamin Seibold - Temple University Institute for Pure and Applied Mathematics, UCLA September 17, 2020

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Auto-parking car

Watch a car park itself! Credits: , HowStuffWorks

From playlist Classic HowStuffWorks

Video thumbnail

Antonella Ferrara: "From connected & autonomous vehicles control to vehicular traffic control"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "From connected and autonomous vehicles control to vehicular traffic control, a multi-scale perspective" Antonella Ferrara - Università di Pavia A

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Paola Goatin: "Macroscopic models for Autonomous Vehicles"

Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Macroscopic models for Autonomous Vehicles" Paola Goatin - Inria Sophia Antipolis-Méditerranée Abstract: My lecture will give an introduction to macroscopic traffic flow models (first and second order), the

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Benjamin Seibold: The Frustrating Beauty of Traffic Waves & How Automated Vehicles Can Prevent Them

IPAM Public Lecture 2020 “The Frustrating Beauty of Traffic Waves — And How Automated Vehicles Can Prevent Them” Benjamin Seibold - Temple University Abstract: A distinguishing feature of vehicular traffic flow is that it may exhibit significant wave patterns. This talk demonstrates tha

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Rinaldo Colombo: "On the Interplay between Mathematical Analysis and Traffic Modeling"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop IV: Social Dynamics beyond Vehicle Autonomy "On the Interplay between Mathematical Analysis and Traffic Modeling" Rinaldo Colombo - Università di Brescia Abstract: Mathematical Analysis offers a variety of to

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Dan Work: "Transportation Engineering for Connected and Automated Vehicles" (Part 1/2)

Watch part 2/2 here: https://youtu.be/yAi6OPt34jo Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Transportation Engineering for Connected and Automated Vehicles" (Part 1/2) Dan Work - Vanderbilt University Institute for Pure and Applied Mathematics, UC

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Benjamin Seibold: "Energy Impact of Automated Vehicles used as Sparse Traffic Controllers"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop II: Safe Operation of Connected and Autonomous Vehicle Fleets "Energy Impact of Automated Vehicles used as Sparse Traffic Controllers" Benjamin Seibold - Temple University, Mathematics Abstract: It is a popul

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Simona Sacone: "Hybrid micro-macro modelling for platoon control in freeway traffic networks"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop III: Large Scale Autonomy: Connectivity and Mobility Networks "Hybrid micro-macro modelling for platoon control in freeway traffic networks" Simona Sacone - Università di Genova Abstract: The definition of a

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Benjamin Seibold: "Basic Traffic Models and Traffic Waves" (Part 1/2)

Watch part 2/2 here: https://youtu.be/tDzbGUBWtcI Mathematical Challenges and Opportunities for Autonomous Vehicles Tutorials 2020 "Basic Traffic Models and Traffic Waves" (Part 1/2) Benjamin Seibold - Temple University Institute for Pure and Applied Mathematics, UCLA September 16, 2020

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

Sharon Di: "Harnessing Mean-Field Game & Data Science for Mixed Autonomy"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop I: Individual Vehicle Autonomy: Perception and Control "Harnessing Mean-Field Game & Data Science for Mixed Autonomy" Sharon Di - Columbia University, Civil Engineering & Engineering Mechanics Abstract: As th

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

Video thumbnail

WTF is a Bézier Curve?

What is a Bézier curve? Programmers use them everyday for graphic design, animation timing, SVG, and more. #shorts #animation #programming Animated Bézier https://www.jasondavies.com/animated-bezier/

From playlist CS101

Related pages

Traffic equations | Network theory | Biham–Middleton–Levine traffic model | Queueing theory | Macroscopic traffic flow model | Network traffic simulation | Braess's paradox | Traffic generation model | History of network traffic models | Traffic simulation | Two-fluid model | Microscopic traffic flow model | Mathematical model | Traffic flow