Selfish routing equilibrium in stochastic traffic network: A probability-dominant description.
This paper suggests a probability-dominant user equilibrium (PdUE) model to describe the selfish routing equilibrium in a stochastic traffic network. At PdUE, travel demands are only assigned to the most dominant routes in the same origin-destination pair. A probability-dominant rerouting dynamic mo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2017-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC5567920?pdf=render |
| _version_ | 1818999170810249216 |
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| author | Wenyi Zhang Zhengbing He Wei Guan Rui Ma |
| author_facet | Wenyi Zhang Zhengbing He Wei Guan Rui Ma |
| author_sort | Wenyi Zhang |
| collection | DOAJ |
| description | This paper suggests a probability-dominant user equilibrium (PdUE) model to describe the selfish routing equilibrium in a stochastic traffic network. At PdUE, travel demands are only assigned to the most dominant routes in the same origin-destination pair. A probability-dominant rerouting dynamic model is proposed to explain the behavioral mechanism of PdUE. To facilitate applications, the logit formula of PdUE is developed, of which a well-designed route set is not indispensable and the equivalent varitional inequality formation is simple. Two routing strategies, i.e., the probability-dominant strategy (PDS) and the dominant probability strategy (DPS), are discussed through a hypothetical experiment. It is found that, whether out of insurance or striving for perfection, PDS is a better choice than DPS. For more general cases, the conducted numerical tests lead to the same conclusion. These imply that PdUE (rather than the conventional stochastic user equilibrium) is a desirable selfish routing equilibrium for a stochastic network, given that the probability distributions of travel time are available to travelers. |
| first_indexed | 2024-12-20T22:13:10Z |
| format | Article |
| id | doaj.art-62b312c180a64192adbf42cf7983d071 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-20T22:13:10Z |
| publishDate | 2017-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-62b312c180a64192adbf42cf7983d0712022-12-21T19:25:06ZengPublic Library of Science (PLoS)PLoS ONE1932-62032017-01-01128e018313510.1371/journal.pone.0183135Selfish routing equilibrium in stochastic traffic network: A probability-dominant description.Wenyi ZhangZhengbing HeWei GuanRui MaThis paper suggests a probability-dominant user equilibrium (PdUE) model to describe the selfish routing equilibrium in a stochastic traffic network. At PdUE, travel demands are only assigned to the most dominant routes in the same origin-destination pair. A probability-dominant rerouting dynamic model is proposed to explain the behavioral mechanism of PdUE. To facilitate applications, the logit formula of PdUE is developed, of which a well-designed route set is not indispensable and the equivalent varitional inequality formation is simple. Two routing strategies, i.e., the probability-dominant strategy (PDS) and the dominant probability strategy (DPS), are discussed through a hypothetical experiment. It is found that, whether out of insurance or striving for perfection, PDS is a better choice than DPS. For more general cases, the conducted numerical tests lead to the same conclusion. These imply that PdUE (rather than the conventional stochastic user equilibrium) is a desirable selfish routing equilibrium for a stochastic network, given that the probability distributions of travel time are available to travelers.http://europepmc.org/articles/PMC5567920?pdf=render |
| spellingShingle | Wenyi Zhang Zhengbing He Wei Guan Rui Ma Selfish routing equilibrium in stochastic traffic network: A probability-dominant description. PLoS ONE |
| title | Selfish routing equilibrium in stochastic traffic network: A probability-dominant description. |
| title_full | Selfish routing equilibrium in stochastic traffic network: A probability-dominant description. |
| title_fullStr | Selfish routing equilibrium in stochastic traffic network: A probability-dominant description. |
| title_full_unstemmed | Selfish routing equilibrium in stochastic traffic network: A probability-dominant description. |
| title_short | Selfish routing equilibrium in stochastic traffic network: A probability-dominant description. |
| title_sort | selfish routing equilibrium in stochastic traffic network a probability dominant description |
| url | http://europepmc.org/articles/PMC5567920?pdf=render |
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