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**Modified firefly algorithm.**
*(English)*
Zbl 1268.65082

Summary: The firefly algorithm is one of the new metaheuristic algorithms for optimization problems. The algorithm is inspired by the flashing behavior of fireflies. In the algorithm, randomly generated solutions are considered as fireflies, and brightness is assigned depending on their performance on the objective function. One of the rules used to construct the algorithm is, a firefly will be attracted to a brighter firefly, and if there is no brighter firefly, it will move randomly. In this paper, we modify this random movement of the brighter firefly by generating random directions in order to determine the best direction in which the brightness increases. If such a direction is not generated, it will remain in its current position. Furthermore the assignment of attractiveness is modified in such a way that the effect of the objective function is magnified. From the simulation result it is shown that the modified firefly algorithm performs better than the standard one in finding the best solution with smaller CPU time.

### MSC:

65K05 | Numerical mathematical programming methods |

90C15 | Stochastic programming |

90C59 | Approximation methods and heuristics in mathematical programming |

### Software:

PLCP
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\textit{S. L. Tilahun} and \textit{H. C. Ong}, J. Appl. Math. 2012, Article ID 467631, 12 p. (2012; Zbl 1268.65082)

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