Two Phase Optimization Method Based on Meta heuristic Algorithms, Big Bang-Big Crunch and Black Hole

Document Type : Original Paper


Department of Mathematics, Faculty of Science, Zanjan University, Zanjan, Iran


This research proposes a two-phase algorithm whose main idea is based on meta heuristic algorithms, Big Bang and Black Hole. In the first phase of this algorithm, the artificial ants scan the reticulated rectangular region in parallel directions. The best points in the ant’s navigations are used as starting points for the second stage of this algorithm. Big Bang and Black Hole algorithms, as an exploitation phase, try to investigate more accurate answers in the neighborhood of the starting points by reducing the neighborhood radius. Numerical examples confirm that this algorithm is capable to achieve an optimal solution with the desired accuracy and low computational costs.


Main Subjects

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Volume 11, Issue 3
September 2021
Pages 515-530
  • Receive Date: 24 May 2021
  • Revise Date: 05 August 2021
  • Accept Date: 15 August 2021
  • First Publish Date: 27 August 2021