Advances in Computers, Vol. 13

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Why do we use the centroid of B and G as the reflection center in simplex search? Is there any other method? For example, if we think B should have twice as much influence on the reflection center as G, then what is the expression for M? 9. Read [4] and summarize its simplex search on a single sheet of paper. References 1. Papoulis A, Pillai S (2002) Probability, random variables and stochastic processes, 4th edn. McGraw Hill Higher Education 2. Ross S (2009) A first course in probability, 8th edn.

We call this operator a single-point crossover. 6 illustrates this. O 3DUHQWV 2IIVSULQJ Fig. 6 Single-point crossover As can be seen from Fig. 6, two new individuals are generated by crossover, which is generally seen as the major exploration mechanism of SGA. If two parents do not perform a crossover according to probability pc , their offspring are themselves. Now we discuss mutation. There are also two ways to implement mutation. One way is to open another memory with size popsize to store the results of crossover, and mutation is carried out in that memory.

This sentence has the implicated meaning that we want to select the candidates in the mating pool in a serial way. We will introduce a parallel way in Chap. 3. 22 Roulette is a gambling game in which a ball is dropped onto a wheel with numbered holes in it while the wheel is spinning round. 23 How can we make such as statement? 21 20 2 Simple Evolutionary Algorithms S SRSVL]H S # S S S SL SL $ Fig. 5 Roulette wheel selection been done to minimize the selection bias, and we will introduce some of them in later chapters.

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