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The boundary of the attainable region and, in particular, its extreme points represent the outer limits of what is achievable.
The boundary of the attainable region is of great interest, for it represents the outer limit of what is actually achievable.
Chemical Engineering Science, 55, 3553 2479] that optimal control policies that govern combinations of fundamental processes, outline the structure that give access to the final extreme points that form the boundary of the attainable region.
Furthermore, it is also shown that in order to satisfy tangency conditions on the boundary of the Attainable Region, the rate of reaction of the material in the side stream to the DSR and that in the DSR at the point where the side stream is added must be equal.
Furthermore, the conditional efficiency measures5 presented in (5) and (6) assume that the separability condition between the inputs, outputs, the time, and the disasters does not hold, implying that time and the number of disaster occurrences influence directly the shape (the boundary) of the attainable set.6.
Thus, at point B the ARc can be extended by a PFR with feed concentrations in B. The line AB ¯ and the CSTR followed by PFR trajectory define the boundary of the attainable region.
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At times, even Hardenberger seemed to be playing on the very edge of the attainable.
It is demonstrated that the boundaries of these attainable regions can be found numerically by solving appropriate optimization problems and that the region enclosed by these boundaries is fully accessible.
The best of the attainable Astons; few contemporaries offer equivalent ride, beauty and build quality.
This section introduces the definitions required to understand the fundamental aspects of the attainable region analysis.
Color the side boundary of the plate.
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boundary of the whole
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boundary of the functional
boundary of the transitional
boundary of the original
boundary of the dth
boundary of the polar
boundary of the achievable
boundary of the available
boundary of the viable
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boundary of the realizable
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