This work presents a systematic mathematical framework for scheduling the o
peration of multipurpose plants involving heat-integrated unit operations u
nder fouling considerations. A salient characteristic of this problem is th
at the performance of each heat-integrated unit, which decreases with time
due to fouling, can be restored to its initial state by performing cleaning
operations. Based on a uniform time discretization, the overall problem is
formulated as a mixed integer non-linear programming (MINLP) model. An ite
rative procedure is proposed for the solution of the resulting non-convex M
INLP model, involving the solution of a series of mixed integer linear prog
ramming and non-linear programming subproblems. The optimization algorithm
determines simultaneously: (i) the production schedule, (ii) the number of
cleaning operations required along with their corresponding timings, (iii)
the optimal utility utilization profile and (iv) the heat transfer medium f
low rate profiles over time. An example problem is presented to illustrate
the applicability of the proposed approach. It is proved that fouling consi
derations can significantly affect the production schedule as well as heat
integration opportunities. (C) 2001 Elsevier Science Ltd. All rights reserv
ed.