Design feasibility and flexibility are recognized as important operability characteristics of achemical process. This is due to the variability of the parameters that appear in process operationsand the increasing market environment competition, which requires reliability in meeting productdemands and quality specifications. In this work, a novel approach is presented for the evaluationof design feasibility/flexibility based on the principles of the deterministic global optimizationalgorithm
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BB (Adjiman, C. S.; Androulakis, I. P.; Floudas, C. A.
Comput. Chem. Eng. 1998,
22(9), 1159. Adjiman, C. S.; Floudas, C. A.
J. Global Optim. 1996,
9, 23-40. Adjiman, C. S.; Dallwig,S.; Floudas, C. A.; Neumaier, A.
Comput. Chem. Eng. 1998,
22 (9), 1137. Androulakis, I. P.;Maranas, C. D.; Floudas, C. A.
J. Global Optim. 1995,
7, 337), which, in turn, relies on adifference-of-convex-functions transformation and a branch-and-bound framework. The proposedapproach can address problems that are described through general nonconvex
equality andin
equality constraints. A number of examples illustrate the applicability and efficiency of theproposed global optimization framework for both the feasibility
test and flexibility index problems.