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...

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Bibliographic Details
Published in:PloS one 2017-08, Vol.12 (8), p.e0183135-e0183135
Main Authors: Zhang, Wenyi, He, Zhengbing, Guan, Wei, Ma, Rui
Format: Article
Language:English
Subjects:
Analysis
Biology and Life Sciences
Computer and Information Sciences
Computer networks
Dynamic models
Engineering and Technology
Equilibrium
Laboratories
Mathematical models
Methods
Models, Theoretical
Navigation behavior
Neural networks
Normal distribution
Physical Sciences
Probability
Probability theory
Research and Analysis Methods
Routing
Routing (telecommunications)
Social Sciences
Statistical models
Stochastic Processes
Stochasticity
System theory
Technology application
Traffic
Traffic congestion
Traffic estimation
Traffic models
Transportation
Travel
Travel time
Travelers
Traveltime
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Summary: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.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0183135