Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808811320210923Two Phase Optimization Method Based on Meta heuristic Algorithms, Big Bang-Big Crunch and Black HoleTwo Phase Optimization Method Based on Meta heuristic Algorithms, Big Bang-Big Crunch and Black Hole5155301697610.22055/jamm.2021.37465.1932FANegar IzadiDepartment of Mathematics, Faculty of Science, Zanjan University, Zanjan, IranMohammad Taghi DastjerdiDepartment of Mathematics, Faculty of Science, Zanjan University, Zanjan, IranJournal Article20210524This 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.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.https://jamm.scu.ac.ir/article_16976_94b9bab9c3094ee35fd1276843e9f98b.pdf