E. Sanmarti et al., COMBINATORIAL TECHNIQUE FOR SHORT-TERM SCHEDULING OF MULTIPURPOSE BATCH PLANTS BASED ON SCHEDULE-GRAPH REPRESENTATION, Computers & chemical engineering, 22, 1998, pp. 847-850
This paper deals with the production scheduling of multipurpose batch
plants. A navel graph representation is proposed that takes into consi
deration the specific characteristics of chemical processes in schedul
ing. In this graphs, the nodes represent the production tasks and the
arcs the precedence relationships among them. The representation is fl
exible enough to consider a great variety of production structures (re
cipes with branches, alternative units,...). Both NIS and UIS transfer
policies can be considered simply by choosing the appropriate precede
nce relationships. This representation provides the opportunity of inc
orporating highly efficient graph algorithms together with an appropri
ate branch-and-bound (B&B) algorithm for serving multipurpose scheduli
ng problems effectively. The B&B algorithm takes care of the combinato
rial optimization problem involved in each scheduling problem, while t
he graph algorithms allow to obtain the lower bounds that control the
branching strategy. The efficiency of the proposed method is establish
ed by comparing it with the application of a generic B&B solving an eq
uivalent MILP scheduling model. (C) 1998 Elsevier Science Ltd. All rig
hts reserved.