Computation of Equilibrium Distributions of Markov Traffic-Assignment Models

Computation of Equilibrium Distributions of Markov Traffic-Assignment Models

Fluid computation of passage-time distributions in large Markov models

Recent developments in the analysis of large Markov models facilitate the fast approximation of transient characteristics of the underlying stochastic process. Fluid analysis makes it possible to consider previously intractable models whose underlying discrete state space grows exponentially as model components are added. In this work, we show how fluid-approximation techniques may be used to e...

Markov Models Assignment 1

The caterers will be serving a ‘surprise drink’ at the upcoming AMSI BBQ on Friday. To make this concoction, they have to mix a special liquid, which is soluble in water, with large amounts of water. Specifically, they pump these two different liquids via two separate hoses into a large cylindrical container and these liquids are mixed together with an electric stirrer situated inside the conta...

Markov Models Assignment 2

On Calibration and Application of Logit-Based Stochastic Traffic Assignment Models

There is a growing recognition that discrete choice models are capable of providing a more realistic picture of route choice behavior. In particular, influential factors other than travel time that are found to affect the choice of route trigger the application of random utility models in the route choice literature. This paper focuses on path-based, logit-type stochastic route choice models, i...