T. Fuchino et al., DESIGN OF MULTIPURPOSE BATCH PLANTS WITH MULTIPLE PRODUCTION PLANS BASED ON CYCLIC PRODUCTION, Journal of Chemical Engineering of Japan, 28(5), 1995, pp. 541-550
The design challenge in multipurpose batch plants is optimizing plant
configuration and equipment size under the constraints of multiple pro
duction plans, and these decision variables are interactive with each
other through scheduling. To optimize these decision variables, the ev
olutionary design method on the basis of scheduling according to cycli
c production (cyclic scheduling) is appropriate, and batch composition
of a cycle (number of batches and their relative batch sizes per one-
cycle) for respective production plans should be specified beforehand.
In this study, a method to specify the batch composition that enables
optimal design is developed. From the viewpoint of optimizing plant c
onfiguration, the common batch sizes for a multiple number of producti
on plans (core batch sizes) are introduced for each product, and speci
fying the batch composition on the basis of these core batch sizes is
converted into assignment problems, from the viewpoint of optimizing e
quipment sizes. These assignment problems are formulated into IP (Inte
ger Programming) models, and the optimal design satisfying multiple pr
oduction plans becomes possible. The effectiveness of this method is d
emonstrated through an example problem.