The Shrink-Wrap Algorithm

The shrink-wrap method derives its name from the manner in which AR construction is carried out, and the geometric resemblance of this process to that of wrapping shrink-wrap over an object. Candidate ARs are constructed by the successive removal of unattainable points from the stoichiometric subspace. This is in contrast to the IDEAS approach, which grows regions outward. 

2 Basic Idea Construction is carried out in a manner that might be best viewed as stretching plastic 

V SIDE NOTE Similarities between shrink-I Tj wrap method and other superstructure methods 

In later sections, we discuss superstructure methods (LP formulations and the IDEAS framework) that are similar in nature to the shrink-wrap method. A major difference between the methods is that the shrink-wrap method is geometric in nature. 

The total connectivity model, used in the LP formulation, only considers combinations of CSTRs. The shrink-wrap method, in contrast, allows for combinations of both PFRs and CSTRs. 

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Manousiouthakis, V.I., Justanieah, A.M., Taylor, L.A., 2004. The shrink-wrap algorithm for the construction of the attainable region An application of the IDEAS framework. Comput. Chem. Eng. 28, 1563-1575. 

Posada, A., Manousiouthakis, V., 2008. Multi-feed attainable region construction using the shrink-wrap algorithm. Chem. Eng. Sci. 63, 5571-5592. 

S.3.3 The Algorithm An overview of the shrink-wrap method for candidate AR construction is given in the following ... 

Construction results for the two-dimensional Van de Vusse system, using the shrink-wrap method, are supplied in Figure 8.28. These results are generated using a simplified version of the algorithm, which only uses CSTR points for simplicity and demonstration. (In practice, it may be preferable to incorporate backward PFR trajectories into the construction, although this adds to the computational complexity.)... 

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