A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function

This study provides a gradient projection (GP) algorithm to solve the combined modal split and traffic assignment (CMSTA) problem. The nested logit (NL) model is used to consider the mode correlation under the user equilibrium (UE) route choice condition. Specifically, a two-phase GP algorithm is de...

Full description

Saved in:
Bibliographic Details
Main Authors: Seungkyu Ryu, Anthony Chen, Songyot Kitthamkesorn
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2021/1986851
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832566353334108160
author Seungkyu Ryu
Anthony Chen
Songyot Kitthamkesorn
author_facet Seungkyu Ryu
Anthony Chen
Songyot Kitthamkesorn
author_sort Seungkyu Ryu
collection DOAJ
description This study provides a gradient projection (GP) algorithm to solve the combined modal split and traffic assignment (CMSTA) problem. The nested logit (NL) model is used to consider the mode correlation under the user equilibrium (UE) route choice condition. Specifically, a two-phase GP algorithm is developed to handle the hierarchical structure of the NL model in the CMSTA problem. The Seoul transportation network in Korea is adopted to demonstrate an applicability in a large-scale multimodal transportation network. The results show that the proposed GP solution algorithm outperforms the method of the successive averages (MSA) algorithm and the classical Evan’s algorithm.
format Article
id doaj-art-972fb19f3462468db53e1276536e25b6
institution Kabale University
issn 0197-6729
2042-3195
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Advanced Transportation
spelling doaj-art-972fb19f3462468db53e1276536e25b62025-02-03T01:04:27ZengWileyJournal of Advanced Transportation0197-67292042-31952021-01-01202110.1155/2021/19868511986851A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit FunctionSeungkyu Ryu0Anthony Chen1Songyot Kitthamkesorn2Korea Institute Science Technology Information, 245, Daehak-ro, Yuseong-gu, Daejeon, Republic of KoreaDepartment of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong KongDepartment of Civil Engineering, Chiang Mai University, 239 Huay Kaew Road, Chiang Mai 50200, ThailandThis study provides a gradient projection (GP) algorithm to solve the combined modal split and traffic assignment (CMSTA) problem. The nested logit (NL) model is used to consider the mode correlation under the user equilibrium (UE) route choice condition. Specifically, a two-phase GP algorithm is developed to handle the hierarchical structure of the NL model in the CMSTA problem. The Seoul transportation network in Korea is adopted to demonstrate an applicability in a large-scale multimodal transportation network. The results show that the proposed GP solution algorithm outperforms the method of the successive averages (MSA) algorithm and the classical Evan’s algorithm.http://dx.doi.org/10.1155/2021/1986851
spellingShingle Seungkyu Ryu
Anthony Chen
Songyot Kitthamkesorn
A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function
Journal of Advanced Transportation
title A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function
title_full A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function
title_fullStr A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function
title_full_unstemmed A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function
title_short A Two-Phase Gradient Projection Algorithm for Solving the Combined Modal Split and Traffic Assignment Problem with Nested Logit Function
title_sort two phase gradient projection algorithm for solving the combined modal split and traffic assignment problem with nested logit function
url http://dx.doi.org/10.1155/2021/1986851
work_keys_str_mv AT seungkyuryu atwophasegradientprojectionalgorithmforsolvingthecombinedmodalsplitandtrafficassignmentproblemwithnestedlogitfunction
AT anthonychen atwophasegradientprojectionalgorithmforsolvingthecombinedmodalsplitandtrafficassignmentproblemwithnestedlogitfunction
AT songyotkitthamkesorn atwophasegradientprojectionalgorithmforsolvingthecombinedmodalsplitandtrafficassignmentproblemwithnestedlogitfunction
AT seungkyuryu twophasegradientprojectionalgorithmforsolvingthecombinedmodalsplitandtrafficassignmentproblemwithnestedlogitfunction
AT anthonychen twophasegradientprojectionalgorithmforsolvingthecombinedmodalsplitandtrafficassignmentproblemwithnestedlogitfunction
AT songyotkitthamkesorn twophasegradientprojectionalgorithmforsolvingthecombinedmodalsplitandtrafficassignmentproblemwithnestedlogitfunction