Abstract
From the viewpoint of keeping the stability of the production, especially the stability of the workforce level, a new goal programming formulation for the aggregate production planning problem of a two stage production system within uncertain production environment was built. A hierarchical decomposition solution algorithm to solve this problem was proposed. A numerical study showed that this formulation gave more stable workforce level and smaller inventory than the well known Chance-Constrained Programming formulation for an uncertain demand forecasting. Through a numerical study, the properties of the decomposition solution algorithm were investigated.