Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road Networks

With the rapid increase of private vehicles, traffic congestion has become a worldwide problem. Various models have been proposed to undertake traffic prediction. Among them, autoregressive integrated moving average (ARIMA) models are quite popular for their good performance (simple, low complexity,...

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Main Authors: Jianbin Chen, Demin Li, Guanglin Zhang, Xiaolu Zhang
Format: Article
Language:English
Published: MDPI AG 2018-02-01
Series:Applied Sciences
Subjects:
Online Access:http://www.mdpi.com/2076-3417/8/2/277
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author Jianbin Chen
Demin Li
Guanglin Zhang
Xiaolu Zhang
author_facet Jianbin Chen
Demin Li
Guanglin Zhang
Xiaolu Zhang
author_sort Jianbin Chen
collection DOAJ
description With the rapid increase of private vehicles, traffic congestion has become a worldwide problem. Various models have been proposed to undertake traffic prediction. Among them, autoregressive integrated moving average (ARIMA) models are quite popular for their good performance (simple, low complexity, etc.) in traffic prediction. Localized Space-Time ARIMA (LSTARIMA) improves ARIMA’s prediction accuracy by extending the widely used STARIMA with a dynamic weight matrix. In this paper, a localized space-time autoregressive (LSTAR) model was proposed and a new parameters estimation method was formulated based on the LSTARIMA model to reduce computational complexity for real-time prediction purposes. Moreover, two theorems are given and verified for parameter estimation of our proposed LSTAR model. The simulation results showed that LSTAR provided better prediction accuracy when compared to other time series models such as Shift, autoregressive (AR), seasonal moving average (Seasonal MA), and Space-Time AR (STAR). We found that the prediction accuracy of LSTAR was a bit lower than the LSTARIMA model in the simulation results. However, the computational complexity of the LSTAR model was also lower than the LSTARIMA model. Therefore, there exists a tradeoff between the prediction accuracy and the computational complexity for the two models.
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spelling doaj.art-45f7bd0a1db24d08acca32fc9df8e8222022-12-22T01:38:10ZengMDPI AGApplied Sciences2076-34172018-02-018227710.3390/app8020277app8020277Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road NetworksJianbin Chen0Demin Li1Guanglin Zhang2Xiaolu Zhang3College of Information Science & Technology, Donghua University, Shanghai 201620, ChinaCollege of Information Science & Technology, Donghua University, Shanghai 201620, ChinaCollege of Information Science & Technology, Donghua University, Shanghai 201620, ChinaCollege of Information Science & Technology, Donghua University, Shanghai 201620, ChinaWith the rapid increase of private vehicles, traffic congestion has become a worldwide problem. Various models have been proposed to undertake traffic prediction. Among them, autoregressive integrated moving average (ARIMA) models are quite popular for their good performance (simple, low complexity, etc.) in traffic prediction. Localized Space-Time ARIMA (LSTARIMA) improves ARIMA’s prediction accuracy by extending the widely used STARIMA with a dynamic weight matrix. In this paper, a localized space-time autoregressive (LSTAR) model was proposed and a new parameters estimation method was formulated based on the LSTARIMA model to reduce computational complexity for real-time prediction purposes. Moreover, two theorems are given and verified for parameter estimation of our proposed LSTAR model. The simulation results showed that LSTAR provided better prediction accuracy when compared to other time series models such as Shift, autoregressive (AR), seasonal moving average (Seasonal MA), and Space-Time AR (STAR). We found that the prediction accuracy of LSTAR was a bit lower than the LSTARIMA model in the simulation results. However, the computational complexity of the LSTAR model was also lower than the LSTARIMA model. Therefore, there exists a tradeoff between the prediction accuracy and the computational complexity for the two models.http://www.mdpi.com/2076-3417/8/2/277LSTARSTARIMAparameters estimationtraffic flow predictionurban road network
spellingShingle Jianbin Chen
Demin Li
Guanglin Zhang
Xiaolu Zhang
Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road Networks
Applied Sciences
LSTAR
STARIMA
parameters estimation
traffic flow prediction
urban road network
title Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road Networks
title_full Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road Networks
title_fullStr Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road Networks
title_full_unstemmed Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road Networks
title_short Localized Space-Time Autoregressive Parameters Estimation for Traffic Flow Prediction in Urban Road Networks
title_sort localized space time autoregressive parameters estimation for traffic flow prediction in urban road networks
topic LSTAR
STARIMA
parameters estimation
traffic flow prediction
urban road network
url http://www.mdpi.com/2076-3417/8/2/277
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AT deminli localizedspacetimeautoregressiveparametersestimationfortrafficflowpredictioninurbanroadnetworks
AT guanglinzhang localizedspacetimeautoregressiveparametersestimationfortrafficflowpredictioninurbanroadnetworks
AT xiaoluzhang localizedspacetimeautoregressiveparametersestimationfortrafficflowpredictioninurbanroadnetworks