Passenger Behavior Simulation in Congested Urban Rail Transit System: A Capacity-Limited Optimal Strategy Model for Passenger Assignment

Table 1

Notations used in this study.

Notation	Explanation
	Network with nodes , link , and time slice set
	Passenger set
	Links from node at time
	Optimal strategy at time
	Passenger volume at node and time
	The total incoming passengers at node
	The entry passenger at node , which generated at node
	Calibration parameters, which depends on the distribution assumed for buses headways and passenger arrival times.
	Link travel time at time
	Service frequency for link at time
	Passenger volume for link at time slice
	Train valid frequency
	Capacity at link at time slice
	Maximal loading factor, which is usually set as 120% or 130%
	Best value for link at time
	Total travel time for passenger k from automated fare collection (AFC) data
	Minimal travel time for link at time
	Total waiting time calculated from the AFC data with a given path for passenger at time
	Binary variable, whether link is recorded in the optimal strategy or not
	Binary variable, whether link is selected by passenger at time
	Binary variable, whether link is the none-waiting link or not