Research Article

A MultiObjective Optimization Approach for Integrated Timetabling and Vehicle Scheduling with Uncertainty

Table 2

Subscripts and parameters of the problem formulation.

NotationsDefinition

SNumber of stops
NNumber of trips
FNumber of time periods
ts,nArrival time of the trip n on stop s
fsb (t)Passenger boarding flow distribution function
fso (t)Passenger alighting flow distribution function
QsbExpectation of total passenger boarding flow
QsoExpectation of total passenger alighting flow
CvehVehicle available cost
CijLink cost of arc (i, j)
PijPenalty of the infeasible time of arc (i, j)
TfTrip time in period f
hfminLower bound of the headway at period f
hfmaxUpper bound of the headway at period f
CmaxMaximum capacity of the bus vehicles