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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5567920/ https://www.ncbi.nlm.nih.gov/pubmed/28829834 http://dx.doi.org/10.1371/journal.pone.0183135 |
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author | Zhang, Wenyi He, Zhengbing Guan, Wei Ma, Rui |
author_facet | Zhang, Wenyi He, Zhengbing Guan, Wei Ma, Rui |
author_sort | Zhang, Wenyi |
collection | PubMed |
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. |
format | Online Article Text |
id | pubmed-5567920 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-55679202017-09-09 Selfish routing equilibrium in stochastic traffic network: A probability-dominant description Zhang, Wenyi He, Zhengbing Guan, Wei Ma, Rui PLoS One Research Article 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. Public Library of Science 2017-08-22 /pmc/articles/PMC5567920/ /pubmed/28829834 http://dx.doi.org/10.1371/journal.pone.0183135 Text en © 2017 Zhang et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Zhang, Wenyi He, Zhengbing Guan, Wei Ma, Rui Selfish routing equilibrium in stochastic traffic network: A probability-dominant description |
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 |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5567920/ https://www.ncbi.nlm.nih.gov/pubmed/28829834 http://dx.doi.org/10.1371/journal.pone.0183135 |
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