Modeling Stochastic Route Choice Behaviors with Equivalent Impedance
A Logit-based route choice model is proposed to address the overlapping and scaling problems in the traditional multinomial Logit model. The nonoverlapping links are defined as a subnetwork, and its equivalent impedance is explicitly calculated in order to simply network analyzing. The overlapping l...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2015/313249 |
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doaj-1b9bb034bff74a9ea82c3313357d901c2020-11-24T22:32:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/313249313249Modeling Stochastic Route Choice Behaviors with Equivalent ImpedanceJun Li0Yulin Huang1Xinjun Lai2Research Centre of Intelligent Transportation Systems, School of Engineering, Sun Yat-sen University, Guangzhou 510275, ChinaResearch Centre of Intelligent Transportation Systems, School of Engineering, Sun Yat-sen University, Guangzhou 510275, ChinaResearch Centre of Intelligent Transportation Systems, School of Engineering, Sun Yat-sen University, Guangzhou 510275, ChinaA Logit-based route choice model is proposed to address the overlapping and scaling problems in the traditional multinomial Logit model. The nonoverlapping links are defined as a subnetwork, and its equivalent impedance is explicitly calculated in order to simply network analyzing. The overlapping links are repeatedly merged into subnetworks with Logit-based equivalent travel costs. The choice set at each intersection comprises only the virtual equivalent route without overlapping. In order to capture heterogeneity in perception errors of different sizes of networks, different scale parameters are assigned to subnetworks and they are linked to the topological relationships to avoid estimation burden. The proposed model provides an alternative method to model the stochastic route choice behaviors without the overlapping and scaling problems, and it still maintains the simple and closed-form expression from the MNL model. A link-based loading algorithm based on Dial’s algorithm is proposed to obviate route enumeration and it is suitable to be applied on large-scale networks. Finally a comparison between the proposed model and other route choice models is given by numerical examples.http://dx.doi.org/10.1155/2015/313249 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jun Li Yulin Huang Xinjun Lai |
spellingShingle |
Jun Li Yulin Huang Xinjun Lai Modeling Stochastic Route Choice Behaviors with Equivalent Impedance Mathematical Problems in Engineering |
author_facet |
Jun Li Yulin Huang Xinjun Lai |
author_sort |
Jun Li |
title |
Modeling Stochastic Route Choice Behaviors with Equivalent Impedance |
title_short |
Modeling Stochastic Route Choice Behaviors with Equivalent Impedance |
title_full |
Modeling Stochastic Route Choice Behaviors with Equivalent Impedance |
title_fullStr |
Modeling Stochastic Route Choice Behaviors with Equivalent Impedance |
title_full_unstemmed |
Modeling Stochastic Route Choice Behaviors with Equivalent Impedance |
title_sort |
modeling stochastic route choice behaviors with equivalent impedance |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2015-01-01 |
description |
A Logit-based route choice model is proposed to address the overlapping and scaling problems in the traditional multinomial Logit model. The nonoverlapping links are defined as a subnetwork, and its equivalent impedance is explicitly calculated in order to simply network analyzing. The overlapping links are repeatedly merged into subnetworks with Logit-based equivalent travel costs. The choice set at each intersection comprises only the virtual equivalent route without overlapping. In order to capture heterogeneity in perception errors of different sizes of networks, different scale parameters are assigned to subnetworks and they are linked to the topological relationships to avoid estimation burden. The proposed model provides an alternative method to model the stochastic route choice behaviors without the overlapping and scaling problems, and it still maintains the simple and closed-form expression from the MNL model. A link-based loading algorithm based on Dial’s algorithm is proposed to obviate route enumeration and it is suitable to be applied on large-scale networks. Finally a comparison between the proposed model and other route choice models is given by numerical examples. |
url |
http://dx.doi.org/10.1155/2015/313249 |
work_keys_str_mv |
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