Title
Robust estimation of traffic density with missing data using an adaptive-R extended Kalman filter
Abstract
Traffic density is a crucial indicator of traffic congestion, but measuring it directly is often infeasible and hence, it is usually estimated based on other measurements. However, a challenge in measuring traffic parameters is the high probability of sensor failure, which results in missing measurement or missing data. To overcome this difficulty, in this paper, we propose a novel adaptive-R extended Kalman filter (AREKF) combined with a modelbased data imputation technique to estimate traffic density. We show analytically that the AREKF is able to accurately estimate the density even when the noise covariance matrices are not accurately known. Microscopic traffic simulations demonstrated the efficacy of the AREKF, where the estimated density is fed into a real-time ramp metering control algorithm to control vehicle flow on a merging road, which is highly susceptible to traffic congestion. The results show that the proposed AREKF with data imputation is able to accurately estimate the traffic density even when data is missing, and the ramp-metering controller significantly improves the traffic flow and thus, alleviates congestion. (C) 2022 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2022
10.1016/j.amc.2022.126915
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
AREKF, Data imputation, Ramp metering, Traffic congestion, Traffic density estimation
Journal
421
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
A. S. M. Bakibillah100.34
Yong Hwa Tan200.34
Junn Yong Loo301.01
Chee Pin Tan400.34
Md. Abdus Samad Kamal500.34
Ziyuan Pu622.06