Integrating prepayment installment, pricing and replenishment decisions for growing items with power demand pattern and non-linear holding cost under carbon regulations.

•This work studies joint prepayment installment, pricing and replenishment decisions.•Carbon regulations are used for maximizing a profit and reducing carbon emissions.•Prepayment installment decision is defined for growing items under carbon regulations.•The cap-and-price policy performs well both economically and environmentally.