Lot sizing with carbon emission constraints

This paper introduces new environmental constraints, namely carbon emission constraints, in multi‐sourcing lot‐sizing problems. These constraints aim at limiting the carbon emission per unit of product supplied with different modes. A mode corresponds to the combination of a production facility and a transportation mode and is characterized by its economical costs and its unitary carbon emission. Four types of constraints are proposed and analyzed in the single‐item uncapacitated lot‐sizing problem. The periodic case is shown to be polynomially solvable, while the cumulative, global and rolling cases are NP‐hard. Perspectives to extend this work are discussed.