For a probabilistic discrete choice model with independent reversed Gumbel distributed random costs, closed form expressions for the choice probabilities are known under the assumption that the variance is the same for all choice alternatives. This assumption is highly disputable in many cases...

In this paper a special conjugate Bayesian method, for reconstructing and estimating traffic flows, based on α-shifted-Gamma <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$ \Upgamma (\theta ,\,\lambda ) $$</EquationSource> </InlineEquation> models <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$ H(\alpha ,\,\theta ,\,\lambda ) $$</EquationSource> </InlineEquation> is given. If the numbers of users traveling through different routes are assumed to...</equationsource></inlineequation></equationsource></inlineequation>

The paper deals with the observability problem in traffic networks, including route, origin–destination and link flows, based on number plate scanning and link flow observations. A revision of the main observability concepts and methods is done using a small network. Starting with the full...

This paper deals with the problem of predicting traffic flows and updating these predictions when information about OD pairs and/or link flows becomes available. To this end, a Bayesian network is built which is able to take into account the random character of the level of total mean flow and...

The concepts of hole, cycle added link and non-planar hole-generated network are introduced for the first time and used to determine (a) the immediate solution of the node conservation equations in terms of hole and cycle added vectors, and (b) the paths as linear combinations of hole vectors....