How to relax inconsistent constraints in a mixture experiment
Unconstrained mixture experiments seldomly occur in practice and the constraints imposed on the component proportions considerably complicate the design of the experiment. In addition, the constraints initially specified by the engineers often leave the statistician with an empty design region. In this technical note, we show how integer programming may help the statistician to relax one or more constraints in order to remove the inconsistency. (C) 2001 Elsevier Science B.V. All rights reserved.
integer programming lower and upper bound restrictions multicomponent constraints