1971
DOI: 10.1287/trsc.5.3.283
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On-Line Estimation of Traffic Densities from Time-Series of Flow and Speed Data

Abstract: A method is discussed for estimating the number of vehicles on a section of a roadway from speed and flow measurements at the entrance and exit points of the section. The method consists of obtaining rough estimates of this count at regular intervals, and then filtering random errors of these estimates by means of a sequential correction scheme. Emphasis is placed on economy in instrumentation and data processing.

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Cited by 122 publications
(47 citation statements)
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“…Since fusing different types of data influences the minimum quality level needed, for this problem it is also relevant to study the effect of combinations of these different types of data. Concerning the use and comparison of induction loop data or FCD data, research had been done already for example by Gazis and Knapp (1971). In this article, a new method is put forward for fusing heterogeneous and semantically different data from different traffic sensors.…”
Section: State-of-the-art Of Research On Traffic Data Qualitymentioning
confidence: 99%
“…Since fusing different types of data influences the minimum quality level needed, for this problem it is also relevant to study the effect of combinations of these different types of data. Concerning the use and comparison of induction loop data or FCD data, research had been done already for example by Gazis and Knapp (1971). In this article, a new method is put forward for fusing heterogeneous and semantically different data from different traffic sensors.…”
Section: State-of-the-art Of Research On Traffic Data Qualitymentioning
confidence: 99%
“…Notice that the most widely used tools for traffic state estimation are Kalman filters and their extensions. Thus, G a z i s and K n a p p [10], K n a p p [12] have proposed a Kalman filtering techniques for data processing. Such a method is based on time series of the mean speed and flow data from each detector and then it generates crude estimates of the vehicle counts.…”
Section: Introductionmentioning
confidence: 99%
“…Secondly, the use of a Kalman filter is mostly adapted for linear models, while the measurements are a nonlinear function of the state variables. [18] and [19] have considered the problem of processing data at a fixed spatial location to produce estimates of spatial average quantities. As stated in [21], with good initial conditions, Nahi's method shows the ability to estimate the density closely in homogeneous situations [20].…”
Section: Introductionmentioning
confidence: 99%
“…Such an estimation method, which is of algebraic character, was developed by M. Fliess et al (see [9]), and it differs from other approaches of this type because it involves the use of differential geometry. As mentioned in [4], the method is applied to obtain an estimate of the derivative from any signal, thus avoiding reliance on the system model at least in the estimation of states 2 .…”
Section: Introductionmentioning
confidence: 99%