Supplemental material for zhao et al., “a novel hybrid combination optimization algorithm based on search area segmentation and fast fourier transform,” engineering optimization , 2018

HIGHLIGHTS

  • who: from the (UNIVERSITY) have published the article: Supplemental Material for Zhao et al., “A Novel Hybrid Combination Optimization Algorithm Based on Search Area Segmentation and Fast Fourier Transform,” Engineering Optimization , 2018, in the Journal: (JOURNAL)
  • how: The final ranking result is shown in Table 7.

SUMMARY

    Convergence analysis of HSAS/FFT Convergence of the HSAS/FFT is proved in this part. It has ?(?(1) ) ≥ ?(?(2) ) ≥ ⋯ ≥ ?(?(?) ) ≥ ⋯, thus {?(?(?) )} is monotonic sequence. Let ?(?(1) ) ≥ ?(?(2) ) ≥ ⋯ ≥ ?(?(?) ) ≥ ⋯ subtract ?(?* ), so ?(?(1) ) - ?(?* ) ≥ ?(?(2) ) - ?(?* ) ≥ ⋯ ≥ ?(?(?) ) - ?(?* ) ≥ ⋯. Compared with solving unimodal functions, the proposed algorithm is difficult to solve multimodal functions . . .

     

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