Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach
In this paper, we take a fluid dynamics approach to determine the travel time in traversing a network's link. We propose a general model for travel time functions that utilizes fluid dynamics laws for compressible flow to capture a variety of flow patterns such as the formation and dissipation...
| Main Authors: | , |
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| Format: | Working Paper |
| Language: | en_US |
| Published: |
Massachusetts Institute of Technology, Operations Research Center
2004
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| Online Access: | http://hdl.handle.net/1721.1/5224 |
| _version_ | 1826200316463284224 |
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| author | Kachani, Soulaymane Perakis, Georgia |
| author_facet | Kachani, Soulaymane Perakis, Georgia |
| author_sort | Kachani, Soulaymane |
| collection | MIT |
| description | In this paper, we take a fluid dynamics approach to determine the travel time in traversing a network's link. We propose a general model for travel time functions that utilizes fluid dynamics laws for compressible flow to capture a variety of flow patterns such as the formation and dissipation of queues, drivers' response to upstream congestion or decongestion and drivers' reaction time. We examine two variants of the model, in the case of separable velocity functions, which gives rise to two families of travel time functions for the problem; a polynomial and an exponential family. We analyze these travel time functions and examine several special cases. Our investigation also extends to the case of non-separable velocity functions starting with an analysis of the interaction between two links, and then extending it to the general case of acyclic networks. |
| first_indexed | 2024-09-23T11:34:36Z |
| format | Working Paper |
| id | mit-1721.1/5224 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:34:36Z |
| publishDate | 2004 |
| publisher | Massachusetts Institute of Technology, Operations Research Center |
| record_format | dspace |
| spelling | mit-1721.1/52242019-04-12T08:16:04Z Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach Kachani, Soulaymane Perakis, Georgia In this paper, we take a fluid dynamics approach to determine the travel time in traversing a network's link. We propose a general model for travel time functions that utilizes fluid dynamics laws for compressible flow to capture a variety of flow patterns such as the formation and dissipation of queues, drivers' response to upstream congestion or decongestion and drivers' reaction time. We examine two variants of the model, in the case of separable velocity functions, which gives rise to two families of travel time functions for the problem; a polynomial and an exponential family. We analyze these travel time functions and examine several special cases. Our investigation also extends to the case of non-separable velocity functions starting with an analysis of the interaction between two links, and then extending it to the general case of acyclic networks. 2004-05-28T19:28:54Z 2004-05-28T19:28:54Z 2001-04 Working Paper http://hdl.handle.net/1721.1/5224 en_US Operations Research Center Working Paper;OR 353-01 2043933 bytes application/pdf application/pdf Massachusetts Institute of Technology, Operations Research Center |
| spellingShingle | Kachani, Soulaymane Perakis, Georgia Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach |
| title | Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach |
| title_full | Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach |
| title_fullStr | Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach |
| title_full_unstemmed | Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach |
| title_short | Modeling Travel Times in Dynamic Transportation Networks; A Fluid Dynamics Approach |
| title_sort | modeling travel times in dynamic transportation networks a fluid dynamics approach |
| url | http://hdl.handle.net/1721.1/5224 |
| work_keys_str_mv | AT kachanisoulaymane modelingtraveltimesindynamictransportationnetworksafluiddynamicsapproach AT perakisgeorgia modelingtraveltimesindynamictransportationnetworksafluiddynamicsapproach |