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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2102.13454 |
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| _version_ | 1866909787228209152 |
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| author | Zhang, Jiahua Wada, Kentaro Oguchi, Takashi |
| author_facet | Zhang, Jiahua Wada, Kentaro Oguchi, Takashi |
| contents | This paper proposes a macroscopic model to describe the equilibrium distribution of passenger arrivals for the morning commute problem in a congested urban rail transit system. We use a macroscopic train operation sub-model developed by Seo et al (2017a,b) to express the interaction between the dynamics of passengers and trains in a simplified manner while maintaining their essential physical relations. The equilibrium conditions of the proposed model are derived and a solution method is provided. The characteristics of the equilibrium are then examined through analytical discussion and numerical examples. As an application of the proposed model, we analyze a simple time-dependent timetable optimization problem with equilibrium constraints and reveal that a "capacity increasing paradox" exists such that a higher dispatch frequency can increase the equilibrium cost. Furthermore, insights into the design of the timetable are obtained and the timetable influence on passengers' equilibrium travel costs are evaluated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_13454 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Morning commute in congested urban rail transit system: A macroscopic model for equilibrium distribution of passenger arrivals Zhang, Jiahua Wada, Kentaro Oguchi, Takashi Systems and Control Multiagent Systems Physics and Society This paper proposes a macroscopic model to describe the equilibrium distribution of passenger arrivals for the morning commute problem in a congested urban rail transit system. We use a macroscopic train operation sub-model developed by Seo et al (2017a,b) to express the interaction between the dynamics of passengers and trains in a simplified manner while maintaining their essential physical relations. The equilibrium conditions of the proposed model are derived and a solution method is provided. The characteristics of the equilibrium are then examined through analytical discussion and numerical examples. As an application of the proposed model, we analyze a simple time-dependent timetable optimization problem with equilibrium constraints and reveal that a "capacity increasing paradox" exists such that a higher dispatch frequency can increase the equilibrium cost. Furthermore, insights into the design of the timetable are obtained and the timetable influence on passengers' equilibrium travel costs are evaluated. |
| title | Morning commute in congested urban rail transit system: A macroscopic model for equilibrium distribution of passenger arrivals |
| topic | Systems and Control Multiagent Systems Physics and Society |
| url | https://arxiv.org/abs/2102.13454 |