Abstract: Based on the mass balance equations of carbon footprint, a model of production-inventory-carbon footprint is established. The coordination of the order, production and carbon footprint between multiple members is studied. Numerical calculations shows that the carbon emission control policy that is the most severe or the most liberal will give rise to change conversely in the supply chain costs and carbon footprint. When carbon trading price is equal to zero, the supply chain cost is the lowest and the carbon footprint is the highest. The policy that carbon quota partially is free, combining with the carbon trading, is a feasible choice in the early carbon emission control. The price mechanism is more sensitive to the adjustment of supply chain decisions. In addition, the coordination efficiency curves highlight the value of collaboration in supply chain with carbon emissions, and the secondary distribution costs can not only reduce operating costs, but also alleviate the carbon footprint of supply chain.

Key words: carbon footprint, mass balance, uncertain demand, production-inventory, coordination efficiency