L. Mockus et Gv. Reklaitis, MATHEMATICAL-PROGRAMMING FORMULATION FOR SCHEDULING OF BATCH-OPERATIONS BASED ON NONUNIFORM TIME DISCRETIZATION, Computers & chemical engineering, 21(10), 1997, pp. 1147-1156
A flexible formulation for handling a wide range of short-term schedul
ing problems arising in multi-product/multipurpose batch chemical plan
ts is presented. Time is directly used to model events arising in the
schedule and thus use of binary variables over periods during which no
changes in system state occur is avoided. Batch processes involving a
variety of operational complexities can be readily represented. The s
cheduling problem is formulated as a mixed integer nonlinear program (
MINLP). The resulting model can be simplified via exact linearization
to yield a mixed integer bilinear program (MIBLP) in which the only no
nlinearity arises in the objective function as a product of continuous
variables. A preliminary computational comparison is made against a u
niform time discretization formulation. (C) 1997 Elsevier Science Ltd.