@Article{EAJAM-6-290, author = {Ahmed F. Ali and Mohamed A. Tawhid}, title = {Direct Gravitational Search Algorithm for Global Optimisation Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {6}, number = {3}, pages = {290--313}, abstract = {
A gravitational search algorithm (GSA) is a meta-heuristic development that is modelled on the Newtonian law of gravity and mass interaction. Here we propose a new hybrid algorithm called the Direct Gravitational Search Algorithm (DGSA), which combines a GSA that can perform a wide exploration and deep exploitation with the Nelder-Mead method, as a promising direct method capable of an intensification search. The main drawback of a meta-heuristic algorithm is slow convergence, but in our DGSA the standard GSA is run for a number of iterations before the best solution obtained is passed to the Nelder-Mead method to refine it and avoid running iterations that provide negligible further improvement. We test the DGSA on 7 benchmark integer functions and 10 benchmark minimax functions to compare the performance against 9 other algorithms, and the numerical results show the optimal or near optimal solution is obtained faster.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.030915.210416a}, url = {http://global-sci.org/intro/article_detail/eajam/10800.html} }