Research Article

A Multiscale Approach for Free-Float Bike-Sharing Electronic Fence Location Planning: A Case Study of Shenzhen City

Table 1

Notations of model formulation.

SetsDefinition

JElectronic fence candidate collection,
KCollection of user demand points for borrowing bikes,
ICollection of user demand points for returning bikes,

Variables
Equals 1 if the electronic fence is deployed in the location j, 0 if not
Equals 1 if the demand for borrowing bike point k is served by electronic fence j, 0 if not
Equals 1 if the demand for returning bike point k is served by electronic fence j, 0 if not
The area for planning and deployment of electronic fence j. Unit:

Parameters
The number of initial bikes at the electronic fence j
User demand for borrowing bikes at k
User demand for returning bikes at i
Fixed cost of electronic fence, unit: yuan/place; the cost of land occupation for bikes. Unit: ; the distance cost incurred during the process of bike borrowing and returning by users,
Percentage of area per electronic fence j in the study area
The land area occupied by each individual bicycle,
Number of candidate electronic fences
Electronic fence capacity coefficient
The distance generated by the user during the borrowing process; the distance generated by the user during the returning process; the maximum distance of borrowing and returning bikes