Integrated production planning and scheduling optimization of multisite, multiproduct process industry

The current manufacturing environment for process industry has changed from a traditional single-site, single market to a more integrated global production mode where multiple sites are serving a global market. In this paper, the integrated planning and scheduling problem for the multisite, multiproduct batch plants is considered. The major challenge for addressing this problem is that the corresponding optimization problem becomes computationally intractable as the number of production sites, markets, and products increases in the supply chain network. To effectively deal with the increasing complexity, the block angular structure of the constraints matrix is exploited by relaxing the inventory constraints between adjoining time periods using the augmented Lagrangian decomposition method. To resolve the issues of non-separable cross-product terms in the augmented Lagrangian function, we apply diagonal approximation method. Several examples have been studied to demonstrate that the proposed approach yields significant computational savings compared to the full-scale integrated model.

► We propose a mathematical formulation for an integrated planning and scheduling problem for the multisite batch facilities serving global market. ► Continuous time representation is used to model scheduling problem. ► Temporal decomposition scheme is developed to address the large scale integrated model. ► We apply augmented Lagrangian relaxation with diagonal quadratic approximation method to solve the decomposed problem. ► Faster solution times are realized with augmented Lagrangian method.