Sáez et al. (2007, 2009) define two state space variables in order to check the bus status and consequently trigger the events. These are the position of the bus at any continuous instant t, xi, and the expected remaining time for the bus to reach
the next stop, T^i . Specifically, the manipulated variables are the holding hi(k) and the station skipping Sui(k) actions associated
with bus i and event k. Thus, hi(k) is the lapse during which bus i is held at the stop associated with event k, while Sui(k) is a binary variable that is equal to one if passengers at allowed to board bus i at the stop associated with event k, zero otherwise.
The output variables correspond to the estimated passenger load ^L ðk þ 1Þ and the estimated departure time T^d ðk þ 1Þ
i i
once the bus departs from its current stop, associated with the bus i that triggered event k.
Sáez et al. (2007, 2009) define two state space variables in order to check the bus status and consequently trigger the events. These are the position of the bus at any continuous instant t, xi, and the expected remaining time for the bus to reachthe next stop, T^i . Specifically, the manipulated variables are the holding hi(k) and the station skipping Sui(k) actions associatedwith bus i and event k. Thus, hi(k) is the lapse during which bus i is held at the stop associated with event k, while Sui(k) is a binary variable that is equal to one if passengers at allowed to board bus i at the stop associated with event k, zero otherwise.The output variables correspond to the estimated passenger load ^L ðk þ 1Þ and the estimated departure time T^d ðk þ 1Þi ionce the bus departs from its current stop, associated with the bus i that triggered event k.
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