On Individual Repositioning Distance along Platform during Train Waiting

Table 1

Notations.

Notations	Descriptions
	Passenger
and	Passenger number and passenger set by station leg
	Passengers’ walking speeds on walking links in access and egress stations
	Passenger longitudinal repositioning distance
and	Passenger ’s tap-in instant at a access gate and tap-out instant at a egress gate on a trip leg
and	Passenger walking-in distance and time from tap-in gate to platform access point in access station
	Passenger walking-in distance from platform entrance to platform boarding point in access station
	Passenger walking-out distance from platform alighting point to platform exit in egress station
and	Passenger walking-out distance and time from platform egress point to tap-out gate in egress station
and	Total walking-in and total walking-out times in access and egress stations
	Passenger apparent waiting time
	Passenger residual waiting time on waiting (also boarding) point,
	Passenger total time cost in access station for boarding train run ,
	Train
and	Train run number and train run set along a line
and	Number and subset of train runs for passenger
and	Feasible number and subset of train runs for passenger
and	Train run ’s departure time at access station and arrival time at egress station
	Train run speeds between access and egress stations
	Network
and	Station number and station set along a line
and	Access station and egress station
	Auxiliary variables or functions
	Cumulative Distribution Function (CDF) of variable
	Probability Density Function (PDF) of variable
	Probability to take train run , conditioning on and
	Threshold value of repositioning distance
	Kernel function of repositioning on platform
	Studied period,
and	Parameter vector and its estimated value
	Space of parameter vector