Review Article

A State-of-the-Art Review of the Sensor Location, Flow Observability, Estimation, and Prediction Problems in Traffic Networks

Table 1

Number of unknowns and equations or inequations of different systems of equations and associated ranks.

EquationSystem# of unknowns# of equations or inequationsRank ()
Lower boundUpper bound

Equations
(33) Conservation equations
(40) Counting data
(41) Plate scanned data
(33), (40), (41) Conservation, counts, and plate scanned equations
(37) OD-route flow relations
(37), (40), (41) Conservation, counts, and plate scanned equations
(39) Route-link flow relations
(39), (40), (41) Conservation, counts, and plate scanned equations

Inequations
(34) Nonnegativity of link flows
(35) Link capacity constraints