Research Article

Optimal Integrated Model for Feeder Transit Route Design and Frequency-Setting Problem with Stop Selection

Table 1

Mathematical symbols in the FTS model.

Index:
Demand point
Vehicular node (depot, stop, and transportation hub) index
Route

Sets:
Set of demand points
Set of routes
Set of candidate stops
Set of depots
Set of transportation hubs

Parameters:
Number of persons at the demand points during peak hours;
Rated vehicle capacity
Maximum departure frequency
Minimum departure frequency
Load rate of route
Maximum load rate
Minimum load rate
Maximum route length
Minimum travel time of feeder bus route
The total mileage of the route visiting all vehicular nodes;
The total travel time of the route visiting all vehicular nodes;
Maximum walking distance
Average walking speed
Map-based distance from rail stations, bus depots, and candidate route stop to demand point ,;
Map-based distance from rail stations, bus depots, and candidate route stop to demand points ,;
Relatively large fixed value

Decision variables:
Whether the candidate is selected as a feeder bus stop;
Whether the demand point is assigned to a selected stop ;
Whether a vehicular node precedes vehicular node on the route ;
Frequency of route k during peak hour
Whether the node is covered by the route k; ,
The travel time of the route visiting vehicular node ;,
Number of persons at the vehicular node assigned to route k; ,
Auxiliary (real) variable for subtour elimination constraint in the route of bus k;