Analytical Formulation of the Trip Travel Time Distribution
This paper validates an analytical and tractable approximation of trip travel time variance for general topology networks. The main challenge in the derivation of such an approximation is to account for spatial between-link dependencies in an analytical yet also tractable manner. The approximation c...
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| অন্যান্য লেখক: | |
| বিন্যাস: | প্রবন্ধ |
| প্রকাশিত: |
Elsevier BV
2018
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| অনলাইন ব্যবহার করুন: | http://hdl.handle.net/1721.1/117429 https://orcid.org/0000-0003-0979-6052 |
| _version_ | 1826210954226958336 |
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| author | Chen, Xiao Osorio Pizano, Carolina |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Chen, Xiao Osorio Pizano, Carolina |
| author_sort | Chen, Xiao |
| collection | MIT |
| description | This paper validates an analytical and tractable approximation of trip travel time variance for general topology networks. The main challenge in the derivation of such an approximation is to account for spatial between-link dependencies in an analytical yet also tractable manner. The approximation considered in this paper achieves tractability by extending Little's law for higher-order moments of finite capacity Markovian queueing networks. This paper presents a detailed validation of this approach. We compare the analytical approximations of path travel time variance to simulation-based estimates for two general topology queueing networks. Ongoing work, to be presented at the conference, uses this approach to address an urban traffic signal control problem that explicitly accounts travel time variability. Keywords: Little's law; spillback; path travel time. |
| first_indexed | 2024-09-23T14:58:04Z |
| format | Article |
| id | mit-1721.1/117429 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:58:04Z |
| publishDate | 2018 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1174292022-09-29T11:46:27Z Analytical Formulation of the Trip Travel Time Distribution Chen, Xiao Osorio Pizano, Carolina Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Osorio Pizano, Carolina This paper validates an analytical and tractable approximation of trip travel time variance for general topology networks. The main challenge in the derivation of such an approximation is to account for spatial between-link dependencies in an analytical yet also tractable manner. The approximation considered in this paper achieves tractability by extending Little's law for higher-order moments of finite capacity Markovian queueing networks. This paper presents a detailed validation of this approach. We compare the analytical approximations of path travel time variance to simulation-based estimates for two general topology queueing networks. Ongoing work, to be presented at the conference, uses this approach to address an urban traffic signal control problem that explicitly accounts travel time variability. Keywords: Little's law; spillback; path travel time. 2018-08-20T18:59:45Z 2018-08-20T18:59:45Z 2014-11 2018-08-20T13:52:35Z Article http://purl.org/eprint/type/JournalArticle 2352-1465 http://hdl.handle.net/1721.1/117429 Chen, Xiao and Carolina Osorio. “Analytical Formulation of the Trip Travel Time Distribution.” Transportation Research Procedia 3 (2014): 366–373 © 2014 The Authors https://orcid.org/0000-0003-0979-6052 http://dx.doi.org/10.1016/J.TRPRO.2014.10.017 Transportation Research Procedia Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV Elsevier |
| spellingShingle | Chen, Xiao Osorio Pizano, Carolina Analytical Formulation of the Trip Travel Time Distribution |
| title | Analytical Formulation of the Trip Travel Time Distribution |
| title_full | Analytical Formulation of the Trip Travel Time Distribution |
| title_fullStr | Analytical Formulation of the Trip Travel Time Distribution |
| title_full_unstemmed | Analytical Formulation of the Trip Travel Time Distribution |
| title_short | Analytical Formulation of the Trip Travel Time Distribution |
| title_sort | analytical formulation of the trip travel time distribution |
| url | http://hdl.handle.net/1721.1/117429 https://orcid.org/0000-0003-0979-6052 |
| work_keys_str_mv | AT chenxiao analyticalformulationofthetriptraveltimedistribution AT osoriopizanocarolina analyticalformulationofthetriptraveltimedistribution |