A step towards a theory on Evolutionary Algorithms, in particular, the so-called (1+1) evolutionary Algorithm, is performed and linear functions are proved to be optimized in expected time O(nlnn) but only mutation rates of size (1/n) can ensure this behavior.Expand

This chapter discusses Circuits and other Non-Uniform Computation Methods vs. Turing Machines and other Uniform Computation Models, and the Design of Efficient Circuits for Some Fundamental Functions.Expand

Ordered binary decision diagrams are a useful representation of Boolean functions, if a good variable ordering is known. Variable orderings are computed by heuristic algorithms and then improved with… Expand

Lower bounds on the black-box complexity of problems are derived without complexity theoretical assumptions and are compared with upper bounds in this scenario.Expand

Using a simplified but still realistic evolutionary algorithm, a thorough analysis of the effects of the offspring population size is presented and a simple way to dynamically adapt this parameter when necessary is suggested.Expand

This work analyzes simple EAs on well-known problems, namely sorting and shortest paths, and finds that sorting is the maximization of “sortedness” which is measured by one of several well- known measures of presortedness.Expand

Important analytical tools are presented, discussed, and applied to well-chosen example functions in the analysis of different variants of evolutionary algorithms on selected functions.Expand

A pair of skis are provided on their upper surfaces with respective mounting plates each carrying a treadle depressible by the boot of the user, the treadle overlying the bight of a yoke biased into… Expand