Generalized Multivariate Extreme Value Models for Explicit Route Choice Sets

08/13/2018
by   Erik-Sander Smits, et al.
0

This paper analyses a class of route choice models with closed-form probability expressions, namely, Generalized Multivariate Extreme Value (GMEV) models. A large group of these models emerge from different utility formulas that combine systematic utility and random error terms. Twelve models are captured in a single discrete choice framework. The additive utility formula leads to the known logit family, being multinomial, path-size, paired combinatorial and link-nested. For the multiplicative formulation only the multinomial and path-size weibit models have been identified; this study also identifies the paired combinatorial and link-nested variations, and generalizes the path-size variant. Furthermore, a new traveller's decision rule based on the multiplicative utility formula with a reference route is presented. Here the traveller chooses exclusively based on the differences between routes. This leads to four new GMEV models. We assess the models qualitatively based on a generic structure of route utility with random foreseen travel times, for which we empirically identify that the variance of utility should be different from thus far assumed for multinomial probit and logit-kernel models. The expected travellers' behaviour and model-behaviour under simple network changes are analysed. Furthermore, all models are estimated and validated on an illustrative network example with long distance and short distance origin-destination pairs. The new multiplicative models based on differences outperform the additive models in both tests.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/18/2022

Deep Inverse Reinforcement Learning for Route Choice Modeling

Route choice modeling, i.e., the process of estimating the likely path t...
research
05/08/2020

Modeling Route Choice with Real-Time Information: Comparing the Recursive and Non-Recursive Models

We study the routing policy choice problems in a stochastic time-depende...
research
09/19/2019

Locally optimal routes for route choice sets

Route choice is often modelled as a two-step procedure in which travelle...
research
05/22/2020

Experiments on route choice set generation using a large GPS trajectory set

Several route choice models developed in the literature were based on a ...
research
05/31/2019

State occupation probabilities in non-Markov models

The consistency of the Aalen--Johansen-derived estimator of state occupa...
research
10/06/2020

A Recursive Logit Model with Choice Aversion and Its Application to Route Choice Analysis

We introduce a route choice model that incorporates the notion of choice...

Please sign up or login with your details

Forgot password? Click here to reset