Queueing theory | Traffic simulation
In queueing theory, a discipline within the mathematical theory of probability, a heavy traffic approximation (sometimes heavy traffic limit theorem or diffusion approximation) is the matching of a queueing model with a diffusion process under some limiting conditions on the model's parameters. The first such result was published by John Kingman who showed that when the utilisation parameter of an M/M/1 queue is near 1 a scaled version of the queue length process can be accurately approximated by a reflected Brownian motion. (Wikipedia).
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
11_3_1 The Gradient of a Multivariable Function
Using the partial derivatives of a multivariable function to construct its gradient vector.
From playlist Advanced Calculus / Multivariable Calculus
Introduction to Differential Equation Terminology
This video defines a differential equation and then classifies differential equations by type, order, and linearity. Search Library at http://mathispower4u.wordpress.com
From playlist Introduction to Differential Equations
(8.1) A General Approach to Nonlinear Differential Questions
This video briefly describes the approach to gaining information about the solution to nonlinear differential equations. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
How to derive the more general transport equation
Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to derive the more general transport equation (PDE) in one dimension.
From playlist Partial differential equations
How to solve the transport equation (PDE)
Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to solve the transport equation, which is an important partial differential equation (PDE) used in modelling. Examples are seen in other videos.
From playlist Partial differential equations
How to solve basic transport PDE problems
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Simple examples showing how to solve basic transport PDEs.
From playlist Partial differential equations
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
The basic principles using environmental noise from city traffic as an example are explained.
From playlist HOW IT WORKS
B04 Example problem of simple harmonic oscillation
Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.
From playlist Physics ONE
Stanford Seminar - Zhang Lin on MobileUrban Sensing in Beijing
"Crowd-Sources MobileUrban Sensing as Deployed in Beijing" - Zhang Lin, Tsinghua University Topics in International Technology Management: "Green Technologies in Transportation: Recent Developments from Asia." In this seminar series, learn about technology and business trends, innovations,
From playlist EE402A - Topics in International Technology Management Seminar Series
Learning-Based Sketching Algorithms - Piotr Indyk
Seminar on Theoretical Machine Learning Topic: Learning-Based Sketching Algorithms Speaker: Piotr Indyk Affiliation: Massachusetts Institute of Technology Date: August 25, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
HOW IT'S MADE: WW2 Military Roads
Building temporary roadways is explained showing several methods constructed from locally available resources such as wood (timber), soil, and gravel on difficult terrain such as swamps, deserts, and forests.
From playlist HOW IT'S MADE
The Extraordinary Landing of TACA International Flight 110
The History Guy talks about rain, hail, engine flameouts, and an extraordinary landing by TACA International Flight 110 in New Orleans, Louisiana, in 1988. Facebook: https://www.facebook.com/TheHistoryGuyYT/ Patreon: https://www.patreon.com/TheHistoryGuy The History Guy: Five Minutes of
From playlist History without War
M. Grazia Speranza: "Controlling unfairness in traffic networks"
Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop III: Large Scale Autonomy: Connectivity and Mobility Networks "Controlling unfairness in traffic networks" M. Grazia Speranza - Università di Brescia Abstract: Autonomous and connected vehicles enable, at lea
From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020
Vintage RADAR Secondary Surveillance Radar 1960s Air Traffic Control (transponders, airlines)
RADAR: A detailed technical training film (circa-1960’s) explaining “Secondary Surveillance Radar” which is used to identify aircraft positions from surface to air. Nice quality film with clear explanations of air traffic control's use of radar and transponders. Part One (5 mins) and Pa
From playlist Airlines, Airports, Automated Ticket Reservation Systems
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
Big Data's Big Deal - Viktor Mayer-Schonberger
Oxford Mathematics Public Lectures: Viktor Mayer-Schonberger - Big Data's Big Deal Big Data promises to change all sectors of our economy, and deeply affect our society. But beyond the current hype, what are Big Data's salient qualities, and do they warrant the high hopes? These are some
From playlist Oxford Mathematics Public Lectures
Introduction to Differential Equations
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to Differential Equations - The types of differential equations, ordinary versus partial. - How to find the order of a differential equation.
From playlist Differential Equations
Managing Urban Sprawl in Kuala Lumpur, Malaysia
MIT 11.384-11.386 Malaysia Sustainable Cities Program, Spring 2016 View the complete course: http://ocw.mit.edu/11-384S16 Instructor: Dr. Malik Asghar Naeem Dr. Malik Asghar Naeem applies lessons from compact city development principles to demonstrate how they may be used limit urban spra
From playlist MIT 11.384-11.386 Malaysia Sustainable Cities Program, Spring 2016