Design of batch facilities through a mathematical programming
approach lead to large problem
size. A heuristic approach which was proposed in an earlier paper
(Subrahmanyam et al. Ind.
Eng. Chem. Res. 1994b,
33, 2688) used decomposition techniques to solve an
aggregate problem
and a series of scheduling problems. Each of these problems
corresponds to a mixed integer
linear program. In this work, we derive a theoretical relationship
between the aggregate problem
and the detailed design formulation. A hierarchy of aggregate
problems is derived, based on
which an algorithm is developed to obtain optimal solutions to the
overall design problem. A
number of industrially derived cases are solved to illustrate and
validate the algorithm.
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