461232 Supply Chain Planning and Scheduling Approach for Multiproduct Multistage Continuous Plants under Uncertainty
A hybrid discrete/continuous precedence-based model was proposed for this problem by using the main ideas of the Traveling Salesman Problem (TSP) and global precedence representation (Mendez et al., 2006). For this, the original TSP of Liu et al. (2008, 2009) was reformulated to easily tackle changeover issues without generating additional binary variables. In order to deal with the uncertainty, we adapt the Model Predictive Control (MPC) approach proposed in Liu et al. (2012) for this particular problem. Despite of the efficiency of this solution technique, the final solution reported by this method could be far from the global optimal when many of the decision variables are successively fixed iteration by iteration. Due to this, a Local-Search (LS) approach was developed to improve the solution of the MPC by rescheduling successive products from the current schedule (Castro et al., 2011). The effectiveness of this alternative solution technique has been demonstrated by solving large scale instances of the problem.
Castro, P. M., Harjunkoski, I., & Grossmann, I. E. (2011). Greedy algorithm for scheduling batch plants with sequence‐dependent changeovers. AIChE journal, 57(2), 373-387.
Liu, S., Pinto, J. M., & Papageorgiou, L. G. (2008). A TSP-based MILP model for medium-term planning of single-stage continuous multiproduct plants. Industrial & Engineering Chemistry Research, 47(20), 7733-7743.
Liu, S., Pinto, J. M., & Papageorgiou, L. G. (2009, June). Medium-term planning of multistage multiproduct continuous plants using mixed integer optimisation. In 19th European Symposium on Computer Aided Process Engineering: ESCAPE-19: June 14-17, 2009, Cracow, Poland (Vol. 26, p. 393). Elsevier.
Liu, S., Shah, N., & Papageorgiou, L. G. (2012). Multiechelon supply chain planning with sequence‐dependent changeovers and price elasticity of demand under uncertainty. AIChE Journal, 58(11), 3390-3403.
Méndez, C. A., Cerdá, J., Grossmann, I. E., Harjunkoski, I., & Fahl, M. (2006). State-of-the-art review of optimization methods for short-term scheduling of batch processes. Computers & Chemical Engineering, 30(6), 913-946.