Integrating Bus Holding Control Strategies and Schedule Recovery: Simulation-Based Comparison and Recommendation

Algorithm 1

Bus trajectories evolution algorithm.

Initialization: Set input parameters and the counter of simulations

Procedure:

Step 1: Generate the departure times for all trips from the terminal

for bus =1:   do

Compute the departure time for the bus line, satisfying

end

Step 2: Generate the stochastic bus link travel time

for bus =1:   do

for stop =2:   do

Compute the bus link travel time from a truncated normal distribution.

end

end

Step 3: Generate the full trajectories of the first bus

for stop =2:   do

Compute the arrival time of bus 1 at stop, satisfying

Compute the departure time of bus from stop, satisfying

Compute the number of on-board passengers, satisfying

Let the leftover demand,

end

Step 4: Generate the trajectories for the remaining trips of the bus line

for stop =2:   do

for bus =2:   do

Compute the trajectory and passenger flows of bus at stop using Eqs.(1)-(11) subject to Eqs.(16)

Apply holding control and schedule recovery where necessary, and update the departure time according to Eqs.(12)-(15).

end

end