Table 1

Model symbols and meanings

VariableDescriptionVariableDescription
ωUnit wholesale price of new power batteriescmUnit manufacturing cost of new power batteries
p1Unit retail price of new power batteriescrUnit remanufacturing cost of waste power batteries
p(t)Rebates offered by dealers to consumers for trading-inc1The unit recycling cost of echelon utilization merchants
n(t)Cascade utilization effort levelN0Potential market size of initial consumers
p2The retail price per unit of discarded power batteries sold by distributors to secondary usersN1Potential market size of trade in consumers
ptThe retail price per unit of high-energy density batteries sold by tier manufacturersδConsumers evaluate discounts on old products
fThe price of manufacturers recycling used batteriesθConsumer willingness to pay for new products
oDifficulty coefficient of echelon utilizationxm(t)The level of recycling efforts at time t made by the manufacturer
ADifficulty coefficient of recycling and re-manufacturingxs(t)The level of recycling efforts at time t made by the dealer
BDifficulty coefficient of trading-inxt(t)The level of recycling efforts at time t made by the echelon recycling dealer
gThe unit reward (or punishment) amount under reward and punishment measures that is higher (or lower) than the government’s preset utilization rate of tiersφThe echelon utilization rate of retired power batteries
φ=D/qtn,φ1
φ′The echelon utilization rate set by the government under reward and punishment measuresqtnTrade-in consumer demand
DThe echelon utilization consumer demand  

Source(s): Table created by authors

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