Flexible Bus Route Optimization Scheduling Model

Table 1

Model parameter.

Variable	Definitions and descriptions	Parameter type
	Passenger demand station set	Set of integers
	Target station set	Set of integers
	Shuttle operation vehicle set	Set of integers
	Passenger demand set	Set of integers
	Total passenger demand,	Parameters
	Shuttle fleet size,	Parameters
	A large constant	Constant
	The th departure time of the target station	Decision variables
	Target stations of passenger demands	Decision variables
	Pickup station for passenger demand	Decision variables
	The starting time of the target station for passenger demand	Decision variables
	The travelling time between station and station	Decision variables
	The capacity of shuttle bus ,	Decision variables
	If shuttle bus connects demand to the target station at time ,  = 1; otherwise,	Decision variables
	If shuttle bus selects the link as driving path,  = 1; otherwise,  = 0	Decision variables
	The time when the shuttle bus reaches the demand point where the demand is located	Decision variables
	Travel time of the shuttle bus to reach the required point	Decision variables
	Time of passenger demand reaches target station	Decision variables
	Auxiliary variable is used to ensure that there is no loop in the driving path of the connecting vehicle ; indicates the shuttle bus passing through the station; if shuttle bus leaves station , ; if shuttle bus arrives station ,  = 1	Auxiliary variable