A mixed integer linear programming model for simultaneous design and scheduling of multiproduct batch plants

FUMERO, YANINA; CORSANO, GABRIELA; MONTAGNA, JORGE

Buenos Aires

Congreso; 24th IFIP Congress on System Modelling and Optimization; 2009

IFIP - International Federation for Information Processing

In this work a detailed, large scale and MILP mathematical model for support simultaneously design and scheduling of flowshop plants, considering zero wait transfer policy and Mixed Product Campaign (MPC), is addressed. A batch plant considering identical parallel units in each stage is assumed. The assignment of batches to specific units is realized under a synchronous slot-based representation. In order to avoid original non linear design formulations, it is assumed that units are provided in discrete sizes, which is the usual commercial procurement policy. Design constraints pose the production requirements selecting the number of units for each stage with their sizes. Appropriate scheduling constraints are incorporated to obtain the production sequence of different products in a campaign, fulfilling demands in the time horizon. The objective function minimizes the investment cost for the plant configuration. The proposed MILP model is a novel approach where the simultaneous optimization of plant design and scheduling considering MPC can be solved to global optimality with reasonable computational effort. The performance is assessed taking into account the main problem parameters.