Joint Optimization of Regular Charging Electric Bus Transit Network Schedule and Stationary Charger Deployment considering Partial Charging Policy and Time-of-Use Electricity Prices

Table 3

Notations of the SCD-MDVSP model.

Sets/indices
	Set of service trips
	Set of charging tasks
	Set of charging stations
	Set of pricing intervals of time-of-use electricity prices
	Indices of service trips,
	Indices of charging tasks,
	Indices of charging stations,
	Indices of pricing interval of time-of-use electricity prices,
Parameters
	Starting time of service trip
	Duration of service trip
	Power consumption of service trip
	Duration of the deadhead to implement the shift from service trip to service trip without charging midway
	Power consumption for the deadhead to implement the shift from service trip to service trip without charging midway
	Duration of the deadhead to implement the service trip after the EB pulling out of the charging station without charging midway
	Power consumption for the deadhead to implement the service trip after the EB pulling out of the charging station without charging midway
	Duration of the deadhead to pull in the charging station after finishing the service trip without charging midway
	Power consumption for the deadhead to pull in the charging station after finishing the service trip without charging midway
	Duration of the deadhead to execute charging task after service trip
	Power consumption for the deadhead to execute charging task after service trip without charging midway
	Duration of the deadhead to execute service trip after charging task
	Power consumption for the deadhead to execute service trip after charging task
	Duration of the deadhead to execute charging task after the EB pulling out of the charging station
	Power consumption for the deadhead to execute charging task after the EB pulling out of the charging station
	Duration of the deadhead to pull in the charging station after the charging task
	Power consumption for the deadhead to pull in the charging station after the charging task
	Power recharged during charging task
	Starting time of pricing interval
	Duration of pricing interval
	Electricity price in pricing interval
	Capital and maintenance cost of a bus
	Time-related operational cost for a bus
	Purchasing and maintenance cost per charger
Intermediate variables
	EB’s current SOC at the completion of the service trip , which can be calculated as (21)
	Charging duration of the charging task in the pricing interval
Decision variables
	Equals 1 if the EB’s next service trip is after finishing the service trip (regardless of whether or not the EB goes for charging between the two service trips), 0 otherwise
	Equals 1 if charging task takes place after charging task and the two charging tasks are completed by the same charger, 0 otherwise
	Equals 1 if the EB travels to execute the charging task after finishing the service trip , 0 otherwise
	Equals 1 if the EB travels to execute the service trip after finishing the charging task , 0 otherwise
	Equals 1 if the EB pulls out of the charging station to execute the service trip (regardless of whether or not the EB goes for charging midway), 0 otherwise
	Equals 1 if the EB pulls in the charging station after finishing the service trip (regardless of whether or not the EB goes for charging midway), 0 otherwise
	Equals 1 if the EB pulls out of the charging station to execute the charging task , 0 otherwise
	Equals 1 if the EB pulls in the charging station after finishing the charging task , 0 otherwise
	Equals 1 if the charging task is executed by the charger installed in the charging station and is the earliest of all the charging tasks executed by the same charger throughout the day
	Equals 1 if the charging task is executed by the charger installed in the charging station and is the latest of all the charging tasks executed by the same charger throughout the day
	Starting time of charging task
	Duration of the charging task
Charging and discharging functions
	Charging function with (SOC at the start of charging) and as independent variables and as a dependent variable
	Discharging function with (SOC at the start of charging) and (representing ) as independent variables and (representing ) as a dependent variable