Research Article

Estimating Wait Time and Passenger Load in a Saturated Metro Network: A Data-Driven Approach

Table 1

Notations.

VariableUnitDescription

Amil/DmilArrival/departure time of train m at station i of line l
BmlijpassNumber of passengers who board train m from station i to station j of line l
ClpassCapacity per train of line l
clspassNumber of seats per train of line l
d, i, jIndices of stations
, h, kNumber of trains skipped by passengers
Ki/KsWeighted average number of skipped trains at station i/s
LdlkmThe length of the link connecting stations d and d + 1 of line L
l, l, lIndices of lines
m, m, mIndices of trains
ni//Maximum number of trains skipped by passengers at station i/i′/s
PmlijProbability of boarding train m of line l from station i to station j
pIndex of itineraries
QmdlpassNumber of passengers in train m on link d of line l
rllssecWeighted average transfer wait time from line l to line l′ at station s
rpllssecWait time at station s for transfer passengers from line l to line l′ using itinerary p
sIndices of transfer stations
taisecAccess time from the entrance to the platform at station i
tejsecEgress time from the platform at station j to the exit
ti/tjTimes when passengers swipe the card at entrance/exit
secIn-vehicle time from station i to station j
secWeighted average wait time at station i
secWait time at station i skipped for k trains
passNumber of passengers who skipped k train at station i
secTransfer walking time from line l to line l′ at station s
αikProbability of the k trains skipped by passengers at station i
Weight of skipping k trains at station i for boarding train m + k on itinerary p
αpikp,s1,hProbability of itinerary p for passengers who skipped k/ trains at station i/s1
βp/γpProbability of itinerary p for transfer passengers with one transfer/two transfers
ψmlm2Floor area for standees of train m on line l
φmdlm2/pAverage space per standee in train m on link d of line l
δmdlLoad factor of train m on link d of line l
δmlAverage load factor of train m on line l