On the three-stage version of stable dynamic model

TL;DR

This paper introduces a novel three-stage stable dynamic model that unifies OD-matrix calculation, mode split, and flow distribution, simplifying calibration and improving computational efficiency.

Contribution

It presents the first combined model integrating three key transportation equilibrium models, enhancing computational tractability over previous approaches.

Findings

The new model reduces to a non-smooth convex optimization problem.

It is computationally more efficient than traditional models.

The model successfully merges three separate models into a unified framework.

Abstract

An attempt to merge into a single model, which reduces to the solution of non-smooth convex optimization problem: calculation model of OD-matrix (entropy model), the mode split model and the model of the equilibrium distribution of flows (Stable dynamic model, Nesterov - de Palma, 2003). To best of our knowledge, this is the first attempt to combine this three models. Previously such attempts were done for other types of equlibrium models, mainly with the BMW-model (1955), the calibration of which is significantly more difficult. We also remark, that our model much better then traditional from computational point of view.