When Do We Stop

Variation of the fitness of the best string (upper line) and the average population fitness (lower line) with generation number. 

To prevent a good string from sneaking under the wire without us noticing it, we can use an elitism strategy (section 5.11.1) or alternatively make a note of the form of the best string every time one is created whose fitness exceeds that of any that have gone before. 

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The simplex regular plan can be introduced here with the following example a scientist wants to experimentally obtain the displacement of a y variable towards an optimal value for a y = f (xj,X2) dependence. When the analytical expression y = f (xj,X2) is known, the problem becomes insignificant, and then experiments are not necessary. Figure 5.11A shows that this displacement follows the way of the greatest slope. In the actual case, when the function f(xj,X2) is unknown, before starting the research, three questions require an answer (i) How do we select the starting point (ii) Which experimental and calculation procedure do we use to select the direction and position of a new point of the displacement (iii) When do we stop the displacement ... 

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