A Revised Method of Attainable Region Construction Utilizing Rotated Bounding Hyperplanes
David Ming, Diane Hildebrandt, David Glasser · Industrial & Engineering Chemistry Research · 2010
An improved method of candidate attainable region (AR) construction, based on an existing bounding hyperplanes approach, is presented. The method uses a plane rotation about existing extreme points, rather than a plane translation, to eliminate unachievable regions from an initial bounding set. The algorithm is shown to be faster, but has currently only been implemented for two-dimensional constructions and has been extended to include the construction of candidate ARs that involve nonisothermal kinetics in concentration and concentration−time space.