| Summary: | 碩士 === 國立中山大學 === 應用數學研究所 === 82 === In this work, we consider optimal design problems with multiple
objectives. Several distinct objectives are considered
simultaneously in choosing an optimal design. Two methods, i.
e., the constrained and compound design criteria, are used to
combine criteria under these distinct objectives. In Cook and
Wong (1992), under constrained and compound optimal designs for
two criteria are shown to be equivalent in the controlled
factors experiment. The relationship between constrained and
compound optimal designs for m criteria, m≧2 and for the
marginally restricted case are discussed. Several examples are
given to illustrate the relationship between them.
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