Premature convergence

Converged prematurely with too high energy due to small energy changes between steps. 

One of the dangers of roulette wheel selection is that if a single individual is much more fit than any other in the population, then it can completely take over the population. This causes the GA to converge prematurely. Once the mating pool is produced, the next generation is created with replacement and crossover operators. It is worth reiterating that the SGA uses a constant population size that is specified at the beginning of the calculation. Replacement and crossover terminate when this number of individuals have been created for the new population. 

Use of smoothed polynomials for the filter operators insures that states in the ripple local extremum do not converge prematurely before states closer to the segment of interest. 

Basically, in the vicinity of a sharp comer all fringes converge toward the apex. Having a high density of lines at this point indicates the presence of high stress level. At a rounded corner there will be considerably less concentration. Besides the molding problems, sharp corners often cause premature failure because of the stress concentration. To avoid these problems, inside comer radii should be equal to one-half the nominal wall... 

Convergence problems have been observed in some transient simulations of circuits with switches, such as the circuit on page 334. You will notice this error because the transient simulation terminates prematurely. If you look at the output file, an error message near the end of the file will indicate a convergence problem. The problem can be fixed by choosing a smaller value of Maximum Step Size, or by using one of the methods mentioned in Section 6.A.3. 

Theoretical studies have been widely applied to genetic algorithms to study the control of premature convergence. All experimental parame-... 

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