title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð»ÐµÑÑÑÐµÐ¹ Ð¼ÑÑÐ¸ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Research of the bat algorithm for solving optimization problems
Creators: name: Ð¡ÑÐ»ÑÐ°Ð½Ð¾Ð²Ð°, ÐÐ°ÑÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð»ÐµÑÑÑÐ¸Ñ Ð¼ÑÑÐµÐ¹
Ð¼ÐµÑÐ¾Ð´Ñ Ð¾ÑÐ¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
Ð¼ÐµÑÐ°ÑÐ²ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼ÐµÑÐ¾Ð´Ñ
Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼
Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
bat algorithm
optimization methods
metaheuristic methods
population-based algorithm
global optimization

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð»ÐµÑÑÑÐµÐ¹ Ð¼ÑÑÐ¸ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸Â». ÐÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¼ÐµÑÐ¾Ð´Ð°, Ð¸Ð½ÑÐ¿Ð¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸ÐµÐ¼ Ð»ÐµÑÑÑÐ¸Ñ Ð¼ÑÑÐµÐ¹, Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¸Ð½ÑÐ¸Ð¿Ð¾Ð² ÑÐ°Ð±Ð¾ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°, ÑÐ´ÐµÐ»Ð°Ð½ Ð¾Ð±Ð·Ð¾Ñ Ð½Ð° ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ðµ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°, ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð² ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð·Ð°Ð´Ð°ÑÐ°Ñ Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð½Ð° ÑÐµÑÑÐ¾Ð²ÑÑ ÑÑÐ½ÐºÑÐ¸ÑÑ. Ð¦ÐµÐ»ÑÑ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð»ÐµÑÑÑÐ¸Ñ Ð¼ÑÑÐµÐ¹ Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÐµÐ³Ð¾ ÑÐ°Ð±Ð¾ÑÑ Ð¾Ñ Ð²Ð°ÑÐ¸Ð°ÑÐ¸Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°, Ð·Ð°Ð´Ð°ÑÑÐµÐ³Ð¾ ÑÐ°Ð·Ð¼ÐµÑÐ½Ð¾ÑÑÑ Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¸. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ» ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð»ÐµÑÑÑÐ¸Ñ Ð¼ÑÑÐµÐ¹ Ð² ÑÑÐµÐ´Ðµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ MATLAB. ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¿ÑÐ¾ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½ Ð½Ð° Ð´ÐµÐ²ÑÑÐ¸ ÐºÐ»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐµÑÑÐ¾Ð²ÑÑ ÑÑÐ½ÐºÑÐ¸ÑÑ Ð´Ð»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸. Ð¡Ð´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾Ð± ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÐ°Ð±Ð¾ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¿ÑÐ¸ Ð²Ð°ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ ÑÐ°Ð·Ð¼ÐµÑÐ° Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¸ Ð»ÐµÑÑÑÐ¸Ñ Ð¼ÑÑÐµÐ¹.
description: The subject of the graduate qualification work is Â«Research of the bat algorithm for solving optimization problemsÂ». The final qualifying work of the bachelor is devoted to the study of bat-inspired algorithm for solving optimization problems. In this paper, we analyze the principles of the bat algorithm, review the existing modifications of the algorithm, the areas of application in real optimization problems are considered, and the algorithm is tested on test functions. The aim of the work is to study the algorithm of bats and to research the dependence of the efficiency of its work on the variation of the parameter that sets the dimension of the population. In the course of the work, the bat algorithm was implemented in the MATLAB software environment. The algorithm was tested on nine classical test functions for an optimization problem. Conclusions are drawn about the efficiency of the bat algorithm when varying the size of the population of bats.