Research Article

Optimal Fleet Deployment Strategy: Model the Effect of Shared E-Bikes on Bike-Sharing System

Table 1

Notations.

The set of bike stations

The set of e-bike stations,
The indices of nodes in ,
The support of the demand distribution
Subscript associated with variables for certain demand realisation,
The set of demand scenarios,
Probability of demand scenario
The set of periods in the planning horizon
The index of any given time period in the planning horizon
Length of planning time period
The generalised trip cost of traditional bike between stations and
The cycling time of traditional bike between stations and
The rental fee component of generalised trip cost of traditional bike between stations and
The comfort cost of riding traditional bike between stations and
The generalised trip cost of e-bikes between stations and
The cycling time of e-bike between stations and
The rental fee component of generalised trip cost of e-bike between stations and
Distance between station and station
Average speed of traditional bike
Average speed of e-bike
Average charging time of each e-bike arrived at e-bike station after rental, in order to reach sufficient state of charge (SOC)
The minimum sufficient SOC
The initial average SOC
The charging speed at e-bike station
The value of time of commuters
The value of fatigue of bicyclists
Monetary unit rental fee per utilised bike sent from station to station
Monetary unit rental fee per utilised e-bike sent from station to station
Holding cost per empty bike at station
Holding cost per empty e-bike at station
Unit electricity price
Energy consumption rate of e-bike
Number of bike racks of station , that is, capacity of station for traditional bikes
Number of charging piles of station , that is, capacity of station for e-bikes
Minimum required bike fleet utilisation rate (trips per bike per day)
Minimum required e-bike fleet utilisation rate (trips per bike per day)
Total bike/e-bike fleet utilisation rate (trips per bike per day)
Fleet size of bikes to be deployed
Fleet size of e-bikes to be deployed
Total demand for shared bike/e-bike transportation service from station to station in time period for demand realisation
Demand for shared bike transportation service from station to station in time period for demand realisation
Demand for shared e-bike transportation service from station to station in time period for demand realisation
The number of rented bikes dispatched from station to station in time period in demand scenario
The number of bikes presented at station at the beginning of the period in demand scenario
The number of rented e-bikes dispatched from station to station in time period in demand scenario
The number of e-bikes presented at station at the beginning of the period in demand scenario
A positive parameter in modal split function