Derive an expression for the location x (1st box) and time t (2nd box) of an incident that is known to have occurred in
Posted: Mon Jul 11, 2022 10:11 am
Derive an expression for the location x (1st box) and time t (2nd box) of an incident that is known to have occurred in the road interval (0,1), given the times, U and D, at which a flow drop from Q to q is sensed at the upstream and downstream detectors. (This type of analysis can be used to diagnose detected incidents; detection is more efficiently achieved from occupancy data, however.) The answers are in the form x = f (U, t, Q, q) and t = f (Q, q, U, D). Please enter only the right hand side as your answer, in a mathematical form. Original Version: Exercise 4.26 in "Problem Sets: Fundamentals Of Transportation And Traffic Operations" by Carlos F. Daganzo, ITS-UC Berkeley, 1998