Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus Stops

Existing offset optimization methods for signalized intersections are mainly focused on regular traffic flow, which cannot accommodate cars and public transit (e.g., Bus Rapid Transit (BRT)) simultaneously. This study proposes a delay prediction model to formulate the signal delay of BRT at intersec...

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Main Authors: Wei Wu, Xiaoyu Luo, Baiying Shi
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Systems
Subjects:
Online Access:https://www.mdpi.com/2079-8954/11/7/366
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author Wei Wu
Xiaoyu Luo
Baiying Shi
author_facet Wei Wu
Xiaoyu Luo
Baiying Shi
author_sort Wei Wu
collection DOAJ
description Existing offset optimization methods for signalized intersections are mainly focused on regular traffic flow, which cannot accommodate cars and public transit (e.g., Bus Rapid Transit (BRT)) simultaneously. This study proposes a delay prediction model to formulate the signal delay of BRT at intersections. The relation among the green wave bandwidth, signal timing plans, speed of the BRT vehicles, distance between the intersections, and the offset is also modeled. A combinatorial optimization model is then established, which takes the location planning of BRT stops and the offset of intersections at both directions along the artery as the decision variables. The proposed model is programmed with Mathematical Programming Language (AMPL) and solved efficiently by the Gurobi solver. The proposed optimization method is compared with seven different methods. The results show that the average BRT travel time is reduced by at least 19% and the green wave bandwidth is increased by around 30.2%. The importance of considering location planning of BRT stops when optimizing the offset is thereby verified.
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spelling doaj.art-caca6dd8d9bb4ec29ef8d03c4c6ad3632023-11-18T21:36:12ZengMDPI AGSystems2079-89542023-07-0111736610.3390/systems11070366Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus StopsWei Wu0Xiaoyu Luo1Baiying Shi2School of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410004, ChinaSchool of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha 410004, ChinaSchool of Traffic Engineering, Shandong Jianzhu University, Jinan 250101, ChinaExisting offset optimization methods for signalized intersections are mainly focused on regular traffic flow, which cannot accommodate cars and public transit (e.g., Bus Rapid Transit (BRT)) simultaneously. This study proposes a delay prediction model to formulate the signal delay of BRT at intersections. The relation among the green wave bandwidth, signal timing plans, speed of the BRT vehicles, distance between the intersections, and the offset is also modeled. A combinatorial optimization model is then established, which takes the location planning of BRT stops and the offset of intersections at both directions along the artery as the decision variables. The proposed model is programmed with Mathematical Programming Language (AMPL) and solved efficiently by the Gurobi solver. The proposed optimization method is compared with seven different methods. The results show that the average BRT travel time is reduced by at least 19% and the green wave bandwidth is increased by around 30.2%. The importance of considering location planning of BRT stops when optimizing the offset is thereby verified.https://www.mdpi.com/2079-8954/11/7/366bus stop locationoffset optimizationBRTsignalized intersectionmathematical programming
spellingShingle Wei Wu
Xiaoyu Luo
Baiying Shi
Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus Stops
Systems
bus stop location
offset optimization
BRT
signalized intersection
mathematical programming
title Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus Stops
title_full Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus Stops
title_fullStr Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus Stops
title_full_unstemmed Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus Stops
title_short Offset Optimization Model for Signalized Intersections Considering the Optimal Location Planning of Bus Stops
title_sort offset optimization model for signalized intersections considering the optimal location planning of bus stops
topic bus stop location
offset optimization
BRT
signalized intersection
mathematical programming
url https://www.mdpi.com/2079-8954/11/7/366
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AT xiaoyuluo offsetoptimizationmodelforsignalizedintersectionsconsideringtheoptimallocationplanningofbusstops
AT baiyingshi offsetoptimizationmodelforsignalizedintersectionsconsideringtheoptimallocationplanningofbusstops