Publication: A state of the art of sensor location, flow observability, estimation, and prediction problems in traffic networks
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2015
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Hindawi Publishing Corporation
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Abstract
A state-of-the-art review of flow observability, estimation, and prediction problems in traffic networks is performed. Since
mathematical optimization provides a general framework for all of them, an integrated approach is used to perform the analysis of
these problems and consider them as different optimization problems whose data, variables, constraints, and objective functions
are the main elements that characterize the problems proposed by different authors. For example, counted, scanned or “a priori”
data are the most common data sources; conservation laws, flow nonnegativity, link capacity, flow definition, observation, flow
propagation, and specific model requirements form the most common constraints; and least squares, likelihood, possible relative
error, mean absolute relative error, and so forth constitute the bases for the objective functions or metrics. The high number of
possible combinations of these elements justifies the existence of a wide collection of methods for analyzing static and dynamic
situations.