Traffic congestion: Optimal tolling schemes
Congested road networks are a big problem in many countries. Building more roads is not always the best solution to solve this issue. One of the reasons for this is that drivers behave selfishly
Finding the shortest route to your holiday destination: Dijkstra's algorithm
Nowadays we have route planners such as TomTom and Google Maps to make driving to a holiday destination a lot simpler. In this article we explain the science behind these route planners.
Network analysis of tax treaties
Large international companies often do not send their profits directly from one country to another. Instead, they send it via other countries, so-called conduit countries, to reduce the tax they pay. Which countries are the most important conduit countries?
Networks participation at SWI with a TNO problem
On January 23-27, 2017, the Study Group Mathematics with the Industry (SWI 2017) took place in Amsterdam. Networks participated in the SWI 2017 event with a problem which combined the various scientific areas represented in Networks.
Traffic congestion: Tolls
One way to mitigate the consequences of drivers' selfish behavior, is by introducing tolls (or taxes) on certain parts of the road network. This is also known as road pricing.
A Santa Claus network
Poor Santa has to travel all across the country to deliver all his presents. How does he do this?
Layered networks I: From manufacturing plants to queueing networks
Manufacturing plants convert raw material into a final product. Think of cars, where the production line consists of a large number of phases to put all the different parts together into a working car. Big machines in such a plant perform the processing steps in different phases, which often have to be done in a specific order.
Traffic congestion: Pigou's example
In network congestion models, we make some simplifying assumptions that make our life easier. In a large-scale system, each individual driver contributes a tiny amount to congestion, if we assume that every car controls the same amount of traffic.
Congested Roads
Traffic jams are one of the biggest inconveniences in modern time. They lead to stressful situations for commuters, and cause huge economical and environmental damage. How could mathematics help?