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Nonlinear constrained optimization problems are encountered in manyscientific fields. To utilize the huge calculation power of current computers,many mathematic models are also rebuilt as optimization problems. Most of themhave constrained conditions which need to be handled. Borrowing biologicalconcepts, a study is accomplished for dealing with the constraints in thesynthesis of a four-bar mechanism. Biologically regarding the constrainedcondition as a form of selection for characteristics of a population, four newalgorithms are proposed, and a new explanation is given for the penalty method.Using these algorithms, three cases are tested in differential-evolution basedprograms. Better, or comparable, results show that the presented algorithms andmethodology may become common means for constraint handling in optimizationproblems.

Lamarckism and mechanism synthesis: approaching constrained optimization with ideas from biology