Title
Queue length estimation from probe vehicle location and the impacts of sample size
Abstract
Probe vehicles are increasingly receiving more attention as an alternative means of collecting real-time traffic data needed for system optimization. This paper focuses on real-time estimation of queue lengths from the location information of probe vehicles in a queue at an isolated and undersaturated intersection. The paper also addresses the evaluation of the accuracy of such estimates as a function of the market penetration of probe vehicles. An analytical formulation based on conditional probability distributions is developed for estimating the expected queue length and its variance. It is found that, for the given settings, only the location information of the last probe vehicle in the queue is sufficient for the estimation. Exact expressions for the conditional mean and variance of queue length are derived. Various numerical results are documented to show how estimation errors behave by the volume to capacity ratio and by market penetration.
Year
DOI
Venue
2009
10.1016/j.ejor.2008.06.024
European Journal of Operational Research
Keywords
Field
DocType
Traffic,Queuing,Traffic signals,Probe vehicles
Mathematical optimization,Conditional probability distribution,Expression (mathematics),Conditional probability,Queue,System optimization,Conditional expectation,Queueing theory,Operations management,Mathematics,Sample size determination
Journal
Volume
Issue
ISSN
197
1
0377-2217
Citations 
PageRank 
References 
26
3.25
3
Authors
2
Name
Order
Citations
PageRank
Gurcan Comert1335.22
Mecit Cetin2387.28