Cooperative Control of Multistation Passenger Inflows in Case of Irregular Large-Scale Passenger Flows

Table 1

List of notations.

	Descriptions
Variables
	The predicted number of passengers waiting on the platform during the m^th time interval
	The predicted number of passengers on the trains passing through section l during the n^th control time interval
	The number of passengers entering station i during the n^th control time interval with control
	The number of passengers who need to enter station i during the n^th control time interval
	The number of passengers boarding the train at station i during the n^th control time interval
	The number of passengers getting off at station i during the n^th control time interval
	Remaining capacity of all trains arriving at station i during the n^th control time interval
	The number of passengers waiting on the platform during the n^th control time interval
	The number of passengers on the trains passing through section l during the n^th control time interval
	Control rate, generally in 0–50%
Parameters
T	The number of control time intervals
	Length of each control time interval
m	The timestamp index within the prediction time period
M	The number of timestamps within the prediction time period
n	The timestamp index within the control time period
N	The number of timestamps within the control time period
I	The number of stations
i	The station index
L	The number of sections
l	The section index, section l is the segment between station i and i + 1
	The number of passengers entering the station during the m^th time interval
	The number of passengers getting off at station i during the m^th time interval
	The number of trains passing through section l during the m^th time interval
	The capacity of section l during the m^th time interval
	Effective area of the platform in station i
	Maximum passenger density on platforms, generally 2–3 persons/
	The platform capacity of station i
C	The standard capacity of a metro vehicle, i.e., the standard number of passengers that can be carried by a metro vehicle
	Load factor
	The maximum value of load factor, generally 130%
	The number of trains passing through section l during the n^th time interval
	The capacity of section l during the n^th control time interval
	The number of passengers arriving at station i during the n^th control time interval
	The maximum control rate of station i
	The percentage of passengers among the boarding passengers at station j, whose destination station is the i^th station