Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression

The graphical progression method can obtain grand coordinated schemes with minimal computational complexity. However, there is no standardized solution for this method, and only a few related studies have been found thus far. Therefore, based on the in-depth discussion of the graphical optimization...

Full description

Saved in:
Bibliographic Details
Main Authors: Kai Lu, Shuyan Jiang, Yiming Zhao, Yongjie Lin, Yinhai Wang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Advanced Transportation
Online Access:http://dx.doi.org/10.1155/2021/7649214
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832550577749360640
author Kai Lu
Shuyan Jiang
Yiming Zhao
Yongjie Lin
Yinhai Wang
author_facet Kai Lu
Shuyan Jiang
Yiming Zhao
Yongjie Lin
Yinhai Wang
author_sort Kai Lu
collection DOAJ
description The graphical progression method can obtain grand coordinated schemes with minimal computational complexity. However, there is no standardized solution for this method, and only a few related studies have been found thus far. Therefore, based on the in-depth discussion of the graphical optimization theory mechanism, a process-oriented and high-efficiency graphical method for symmetrical bidirectional corridor progression is proposed in this study. A two-round rotation transformation optimization process of the progression trajectory characteristic lines (PTC lines) is innovatively proposed. By establishing the updated judgment criteria for coordinated mode, the first round of PTC line rotation transformation realizes the optimization of coordinated modes and initial offsets. Giving the conditions for stopping rotation transformation and determining rotation points, rotation directions, and rotation angles, the second round of PTC line rotation transformation achieves the final optimization of the common signal cycle and offsets. The case study shows that the proposed graphical method can obtain the optimal progression effect through regular graphing and solving, although it can also be solved by highly efficient programming.
format Article
id doaj-art-9e087d7802194c49a0eb6c7c937ce154
institution Kabale University
issn 2042-3195
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Advanced Transportation
spelling doaj-art-9e087d7802194c49a0eb6c7c937ce1542025-02-03T06:06:26ZengWileyJournal of Advanced Transportation2042-31952021-01-01202110.1155/2021/7649214Graphical Optimization Method for Symmetrical Bidirectional Corridor ProgressionKai Lu0Shuyan Jiang1Yiming Zhao2Yongjie Lin3Yinhai Wang4South China University of TechnologySouth China University of TechnologySouth China University of TechnologySouth China University of TechnologyUniversity of WashingtonThe graphical progression method can obtain grand coordinated schemes with minimal computational complexity. However, there is no standardized solution for this method, and only a few related studies have been found thus far. Therefore, based on the in-depth discussion of the graphical optimization theory mechanism, a process-oriented and high-efficiency graphical method for symmetrical bidirectional corridor progression is proposed in this study. A two-round rotation transformation optimization process of the progression trajectory characteristic lines (PTC lines) is innovatively proposed. By establishing the updated judgment criteria for coordinated mode, the first round of PTC line rotation transformation realizes the optimization of coordinated modes and initial offsets. Giving the conditions for stopping rotation transformation and determining rotation points, rotation directions, and rotation angles, the second round of PTC line rotation transformation achieves the final optimization of the common signal cycle and offsets. The case study shows that the proposed graphical method can obtain the optimal progression effect through regular graphing and solving, although it can also be solved by highly efficient programming.http://dx.doi.org/10.1155/2021/7649214
spellingShingle Kai Lu
Shuyan Jiang
Yiming Zhao
Yongjie Lin
Yinhai Wang
Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression
Journal of Advanced Transportation
title Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression
title_full Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression
title_fullStr Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression
title_full_unstemmed Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression
title_short Graphical Optimization Method for Symmetrical Bidirectional Corridor Progression
title_sort graphical optimization method for symmetrical bidirectional corridor progression
url http://dx.doi.org/10.1155/2021/7649214
work_keys_str_mv AT kailu graphicaloptimizationmethodforsymmetricalbidirectionalcorridorprogression
AT shuyanjiang graphicaloptimizationmethodforsymmetricalbidirectionalcorridorprogression
AT yimingzhao graphicaloptimizationmethodforsymmetricalbidirectionalcorridorprogression
AT yongjielin graphicaloptimizationmethodforsymmetricalbidirectionalcorridorprogression
AT yinhaiwang graphicaloptimizationmethodforsymmetricalbidirectionalcorridorprogression