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...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Chen, Xiao, Osorio Pizano, Carolina
অন্যান্য লেখক: Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
বিন্যাস: প্রবন্ধ
প্রকাশিত: Elsevier BV 2018
অনলাইন ব্যবহার করুন:http://hdl.handle.net/1721.1/117429
https://orcid.org/0000-0003-0979-6052
_version_ 1826210954226958336
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