A Product-form C-logit Stochastic Traffic Assignment Model

Abstract

As an important member of the stochastic traffic assignment models, the C-logit model has been widely applied in traffic network analysis as well as the development of various modern intelligent traffic managements. It provides a simple solution to address the path overlapping problem existed in classical logit model, while inheriting the simplicity of the latter. However, it is shown in this paper that the C-logit model can easily degrade to the logit model when heavy (or even mild) traffic congestion emerges on a road network. Such degeneracy might stem from the summation formulation of the measurable path cost in the C-logit model. For this reason, this paper suggests a revised (i.e., product-form) formulation for measurable path cost, which is able to resist such degeneracy. The resultant new C-logit model is expected to provide a more precise option for stochastic road network modeling and analysis.