Research Article

Prediction of Traffic Flow considering Electric Vehicle Market Share and Random Charging

Table 2

Notations.

Sets

Set of nodes in the transport network, where
Set of links, where
Set of CSs, where
Set of all origin nodes, where
Set of all destination nodes, where
Set of all paths from the origin to the destination for GVs, where
Set of all paths from the origin to the destination for BEVs in group, where
Set of BEV group, where

Parameters

and The travel demands of BEVs in group and GVs between O–D pair respectively
and Gasoline or electricity cost per kilometre for GVs and BEVs
and Time value conversion coefficient of GVs and BEVs
and GVs and BEVs user perceived discrete parameter
The length of
The average electricity consumption per kilometre
and Mean and variance of initial SOC distribution
and Mean and square of SOC distribution at the beginning of RCB
Free-flow travel time on link
Travel time function of link
Capacity of link
and The number of servers and average service rate at the CS
Initial state of charge in group
Correction coefficient
Initial SOC range of type m BEV,
BEV market share

Decision variables

and The GVs traffic flow on the path and the BEVs traffic flow on the path , respectively
The possible charging flow in the m-group BEVs at the CS
The aggregated traffic flow on link
and The GV flow on link and the BEV flow on link
and The route and choice probability
Correction term
The possibility of charging at the charging station on the path
Idle probability of CS
System utilization of CS
The distance from origin to charging station on the path for BEVs in the group
and The average queue length and the average dwell time at the CS
Generalized cost of BEVs on path
Generalized cost of GVs on path
and Binary variable, equals to 1 if link is on the path (), 0 otherwise
Binary variable, equals to 1 if CS is on the path , 0 otherwise