Title
Stochastic Demand Dynamic Traffic Models Using Generalized Beta-Gaussian Bayesian Networks
Abstract
stochastic demand dynamic traffic model is presented to predict some traffic variables, such as link travel times, link flows, or link densities, and their time evolution in real networks. The model considers that the variables are generalized beta variables such that when they are marginally transformed to standard normal, they become multivariate normal. This gives sufficient degrees of freedom to reproduce (approximate) the considered variables at a discrete set of time–location pairs. Two options to learn the parameters of the model are provided—one based on previous observations of the same variables and one based on simulated data using existing dynamic models. The model is able to provide a point estimate, a confidence interval, or the density of the variable being predicted. To this end, a closed formula for the conditional future variable values (link travel times or flows), given the available past variable information, is provided. Since only local information is relevant to short-term link flow predictions, the model is applicable to very large networks. The following three examples of application are given: 1) the Nguyen–Dupuis network; 2) the Ciudad Real network; and 3) the Vermont state network. The resulting traffic predictions seem to be promising for real traffic networks and can be done in real time.
Year
DOI
Venue
2012
10.1109/TITS.2011.2173933
IEEE Transactions on Intelligent Transportation Systems
Keywords
Field
DocType
standard normal,bayesian method,stochastic process,gaussian distribution,bayesian network,prediction model,stochastic processes,bayes theorem,confidence interval,multivariate normal,degree of freedom,degrees of freedom,real time,point estimation,traffic flow,time evolution,predictive models,bayesian methods,random variables,random variable,covariance matrix
Econometrics,Traffic generation model,Mathematical optimization,Random variable,Traffic flow,Simulation,Stochastic process,Bayesian network,Multivariate normal distribution,Covariance matrix,Mathematics,Bayes' theorem
Journal
Volume
Issue
ISSN
13
2
1524-9050
Citations 
PageRank 
References 
10
0.60
10
Authors
5
Name
Order
Citations
PageRank
Enrique Castillo155559.86
María Nogal2475.69
José María Menéndez31098.16
Santos Sánchez-Cambronero4796.52
Pilar Jimenez5100.60