We present a stochastic model for the traffic situation at a crossing of a major and a minor road. Afterwards, we give an overview of two recent results for this model. First, the distribution of the waiting time for a large gap is given. This might also have applications in other settings, where one has to wait for a large gap to occur in a Poisson process. The second result shows, that the queue length on the minor road is either a V-ergodic Markov chain or it is transient. This justifies the estimation of the stationary distribution by the time mean of the queue length in a computer simulation.
Swipe to navigate through the chapters of this book
Please log in to get access to this content
To get access to this content you need the following product:
- Stochastic Analysis of the Traffic Confluence at the Crossing of a Major and a Minor Road
- Springer Berlin Heidelberg
- Sequence number
Pluta Logo/© Pluta, Rombach Rechtsanwälte/© Rombach Rechtsanwälte