Path Overlapping Problem in Estimating Origin-Destination Matrix Using Stochastic User Equilibrium

Gholi, Hadi; Mamdoohi, Amir Reza; Babazadeh, Abbas

doi:10.24200/sci.2024.61151.7166

Path Overlapping Problem in Estimating Origin-Destination Matrix Using Stochastic User Equilibrium

Articles in Press

Document Type : Research Article

Authors

Hadi Gholi ¹

Amir Reza Mamdoohi ¹

Abbas Babazadeh ²

¹ Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran

² School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran

10.24200/sci.2024.61151.7166

Abstract

Estimating the origin-destination (OD) matrix based on traffic counts in a transportation network has received substantial attention in recent decades. Several studies have attempted to incorporate a stochastic user equilibrium (SUE) constraint into the OD estimation framework to deal with uncertainties. These studies have mainly adopted a multinomial logit (MNL) route choice model which has a restrictive assumption that does not allow for overlapping paths. This paper addresses the path overlapping problem by employing corrected logit route choice models, namely C-logit and path-size logit (PS-logit), that partially capture similarity/correlation among paths by a correction term in the MNL structure. A gradient algorithm (developed by Spiess) is also utilized to solve the SUE-based OD matrix estimation problem. Numerical experiments on the well-known Winnipeg network show that considering correlated/overlapping paths in the OD estimation process using C-logit or PS-logit route choice models results in more accurate OD matrices than the MNL-based procedure.

Keywords

origin-destination matrix

stochastic user equilibrium

path overlapping

corrected logit route choice

gradient algorithm

C-logit

path-size logit

Subjects