A General Disjunctive Model for Multiperiod Optimization of Multiproduct Batch Plants

MORENO, MARTA SUSANA; MONTAGNA, JORGE MARCELO; IRIBARREN, OSCAR ALBERTO

Buenos Aires, Argentina

Congreso; XXII CIIQ 2006 / V CAIQ: XXII Congreso Interamericano de Ingeniería Química; 2006

IACChE- Interamerican Confederation of Chemical Enginnering

In this work, a general multiperiod linear optimization model is presented which addresses the simultaneous design and operation planning decisions for multiproduct batch plants. A multiperiod environment is considered because of the market and/or seasonal fluctuations. Thereby, the model considers changes from period to period of demands, costs, prices, and raw materials supplies. The problem considers a time horizon divided in not necessarily equal time periods. The objective function maximizes the net present value of the profit considering incomes, investments and resources costs, and both product and raw material inventory costs. In the plant design problem, the sequence of operations is already defined and the pursued goal is to determine both unit sizes and its configuration in the plant. Besides the usual duplication in parallel option, a novel design decision is included which allows adding units in series to perform a given operation. The optimal design is determined by taking into account available discrete sizes of units which corresponds to the real procurement of equipments. The model is formulated by using the Linear Generalized Disjunctive Programming (LGDP). The posed model is general and its application is illustrated with a real plant that produces oleoresins.