화학공학소재연구정보센터
Chemical Engineering and Processing, Vol.46, No.11, 1129-1140, 2007
Hierarchical approach for production planning and scheduling under uncertainty
In this paper, the simultaneous solution of production planning and scheduling problem is addressed through a hierarchical framework. The planning problem aggregates orders in the planning period and considers uncertainty utilizing a multi-stage stochastic programming formulation where three stages are considered with increasing level of uncertainty. The planning model includes material balances and time horizon constraints which involve a sequence factor to reflect the recipe complexity. Using a rolling horizon strategy, the production for the current stage is provided to the scheduling problem, which is solved using a continuous-time formulation. An iterative framework is developed to converge the planning and scheduling results before solving for the next period. The proposed approach is illustrated with a planning case study. (c) 2007 Published by Elsevier B. V.