An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train Operation

This study proposes a novel effective improved whale optimization algorithm via angle penalized distance (IWOA-APD) for automatic train operation (ATO) to effectively improve the ATO quality. Specifically, aiming at the high-quality target speed curve of urban rail trains, a target speed curve multi...

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Main Authors: Longda Wang, Yanjie Ju, Long Guo, Gang Liu, Chunlin Li, Yan Chen
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Biomimetics
Subjects:
Online Access:https://www.mdpi.com/2313-7673/10/6/384
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author Longda Wang
Yanjie Ju
Long Guo
Gang Liu
Chunlin Li
Yan Chen
author_facet Longda Wang
Yanjie Ju
Long Guo
Gang Liu
Chunlin Li
Yan Chen
author_sort Longda Wang
collection DOAJ
description This study proposes a novel effective improved whale optimization algorithm via angle penalized distance (IWOA-APD) for automatic train operation (ATO) to effectively improve the ATO quality. Specifically, aiming at the high-quality target speed curve of urban rail trains, a target speed curve multi-objective optimization model for ATO is established with energy saving, punctuality, accurate stopping, and comfort as the indexes; and the comprehensive evaluation strategy utilizing angle-penalized distance as the evaluation index is proposed to enhance the assessment’s rationality and applicability. On this basis, the IWOA-APD is proposed using strategies of non-linear decreasing convergence factor, solutions of out-of-bounds eliminating via combination of reflection and refraction, mechanisms of genetic evolution with variable probability, and elite maintenance based on fusion distance and crowding degree distance. In addition, the detailed design scheme of IWOA-APD is given. The test results show that the proposed IWOA-APD achieves significant performance improvements compared to traditional MOWOA. In the optimization scenario from Lvshun New Port Station to Tieshan Town Station of Dalian urban rail transit line No.12, the IGD value shows a remarkable 69.1% reduction, while energy consumption decreases by 12.5%. The system achieves a 64.6% improvement in punctuality and a 76.5% enhancement in parking accuracy. Additionally, comfort level improves by 15.9%.
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publishDate 2025-06-01
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series Biomimetics
spelling doaj-art-68c4d3e7b26543bb94f89f2e551f47d72025-08-20T03:27:25ZengMDPI AGBiomimetics2313-76732025-06-0110638410.3390/biomimetics10060384An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train OperationLongda Wang0Yanjie Ju1Long Guo2Gang Liu3Chunlin Li4Yan Chen5School of Electrical Engineering, Dalian Jiaotong University, Dalian 116023, ChinaSchool of Electrical Engineering, Dalian Jiaotong University, Dalian 116023, ChinaSchool of Economics and Management, Gongqing Institute of Science and Technology, Jiujiang 332020, ChinaCollege of Engineering, Inner Mongolia Minzu University, Tongliao 028000, ChinaFaculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, ChinaSchool of Mechanical and Electrical Engineering, Chizhou University, Chizhou 247000, ChinaThis study proposes a novel effective improved whale optimization algorithm via angle penalized distance (IWOA-APD) for automatic train operation (ATO) to effectively improve the ATO quality. Specifically, aiming at the high-quality target speed curve of urban rail trains, a target speed curve multi-objective optimization model for ATO is established with energy saving, punctuality, accurate stopping, and comfort as the indexes; and the comprehensive evaluation strategy utilizing angle-penalized distance as the evaluation index is proposed to enhance the assessment’s rationality and applicability. On this basis, the IWOA-APD is proposed using strategies of non-linear decreasing convergence factor, solutions of out-of-bounds eliminating via combination of reflection and refraction, mechanisms of genetic evolution with variable probability, and elite maintenance based on fusion distance and crowding degree distance. In addition, the detailed design scheme of IWOA-APD is given. The test results show that the proposed IWOA-APD achieves significant performance improvements compared to traditional MOWOA. In the optimization scenario from Lvshun New Port Station to Tieshan Town Station of Dalian urban rail transit line No.12, the IGD value shows a remarkable 69.1% reduction, while energy consumption decreases by 12.5%. The system achieves a 64.6% improvement in punctuality and a 76.5% enhancement in parking accuracy. Additionally, comfort level improves by 15.9%.https://www.mdpi.com/2313-7673/10/6/384automatic train operationtarget speed curvemulti-objective optimizationimproved whale optimization algorithm
spellingShingle Longda Wang
Yanjie Ju
Long Guo
Gang Liu
Chunlin Li
Yan Chen
An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train Operation
Biomimetics
automatic train operation
target speed curve
multi-objective optimization
improved whale optimization algorithm
title An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train Operation
title_full An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train Operation
title_fullStr An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train Operation
title_full_unstemmed An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train Operation
title_short An Improved Whale Optimization Algorithm via Angle Penalized Distance for Automatic Train Operation
title_sort improved whale optimization algorithm via angle penalized distance for automatic train operation
topic automatic train operation
target speed curve
multi-objective optimization
improved whale optimization algorithm
url https://www.mdpi.com/2313-7673/10/6/384
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