I.1 The single-extremum differentiated functions
Table 1
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Test functions |
The analytical expression |
Solution |
Arguments vector |
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Rosenbroke function |
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0 |
1,...,1 |
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Mill-Cantrell function |
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0 |
0,1,...,1 |
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Grague-Levy function |
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0 |
0,1,...,1 |
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Function ¹ 4 |
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0 |
1,.....,1 |
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Function ¹5 |
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0 |
1,.....,1 |
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Function ¹6 |
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0 |
0,.....,0 |
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Function ¹9 |
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0 |
1,.....,1 |
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Function ¹10 |
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0 |
1,.....,1 |
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Function ¹11 |
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0 |
0,.....,0 |
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Function ¹12 |
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0 |
1,.....,1 |
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Function ¹14 |
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0 |
0,.....,0 |
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Function ¹16 |
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0 |
0,.....,0 |
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Function ¹17 |
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0 |
0,.....,0 |
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Dicson function |
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0 |
1,.....,1 |
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Oren function |
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0 |
1,.....,1 |
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Vood function |
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0 |
0,.....,0 |
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1.2 The single-extremum nondifferentiated functions |
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Problem ¹ 1 |
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0 |
0,1,.....,1 |
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Problem ¹ 2 |
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0 |
0,1,.....,1 |
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Problem ¹ 3 |
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0 |
0,1.....,1 |
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Problem ¹ 4 |
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0 |
0,1.....,1 |
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Problem ¹ 5 |
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0 |
0,1.....,1 |
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1.3. The multi-extremum differentiated functions |
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Problem ¹ 6 |
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0 |
0,.....,0 |
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1.4. The multi-extremum nondifferentiated functions |
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Problem ¹ 7 |
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0 |
0,1.....,1 |
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Problem ¹ 8 |
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0 |
0,1.....,1 |
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Problem ¹ 9 |
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0 |
0,1.....,1 |
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Problem ¹ 10 |
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0 |
0,1.....,1 |
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Problem ¹ 11 |
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0 |
0,1.....,1 |
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II.1 The stochastic optimization for the single-extremum functions |
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a -accidental value spreaded according to the normal law
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a -accidental value spreaded according to the normal law
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a -accidental value spreaded according to the normal law
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a -accidental value spreaded according to the normal law
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a -accidental value spreaded according to the normal law
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II.2 Multiextremum functions |
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