title: ÐÐ¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ»ÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð§ÑÑÐ½Ð¾Ð¹ Ð´ÑÑÑ
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: Optimization based on an improved Black Hole algorithm
Creators: name: Ð¨ÐµÑÑÐ°ÐºÐ¾Ð²Ð°, ÐÐ»Ð¸Ð½Ð°
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: 2022
Subjects: Ð¼ÐµÑÐ¾Ð´Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
Ð¼ÐµÑÐ°ÑÐ²ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ
ÑÐ»ÑÑÑÐµÐ½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð§ÑÑÐ½Ð¾Ð¹ Ð´ÑÑÑ
Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
optimization methods
metaheuristic algorithms
improved Black Hole 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Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ»ÑÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð§ÑÑÐ½Ð¾Ð¹ Ð´ÑÑÑÂ».Â Â Â Â Â Â Â Â Â  ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¼ÐµÑÐ°ÑÐ²ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð§ÑÑÐ½Ð¾Ð¹ Ð´ÑÑÑ, Ð¿ÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð½Ð¾Ð³Ð¾ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ñ Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¼Ð½Ð¾Ð³Ð¾Ð¼ÐµÑÐ½ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð¾Ð². Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¸Ð·Ð²ÐµÑÑÐ½ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸, Ð¾Ð¿Ð¸ÑÐ°Ð½ Ð¿Ð¾Ð´ÑÐ¾Ð´ Ðº ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°. 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§ÑÑÐ½Ð¾Ð¹ Ð´ÑÑÑ, Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð½Ð° ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐµÐ»ÐµÐ²ÑÑ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð°Ñ, ÑÐ°ÐºÐ¶Ðµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð², Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð±ÑÐ»Ð¸ ÑÑÐ¾ÑÐ¼ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ²Ð° Ð¸ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐºÐ¸ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°. Ð Ð³Ð»Ð°Ð²Ðµ 1 Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ñ ÑÐ²ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸ Ð¼ÐµÑÐ°ÑÐ²ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸. ÐÐ»Ð°Ð²Ð° 2 Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð§ÑÑÐ½Ð¾Ð¹ Ð´ÑÑÑ. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ñ Ð² Ð³Ð»Ð°Ð²Ðµ 3. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ» ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð§ÑÑÐ½Ð¾Ð¹ Ð´ÑÑÑ Ð¸ Ð±ÑÐ»Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð° ÐµÐ³Ð¾ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ñ Ð³Ð»Ð¾Ð±Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸.
description: The subject of the graduate qualification work is "Optimization based on an improved Black Hole algorithm". This thesis is devoted to the research of the effectiveness of a metaheuristic Black Hole algorithm designed to solve the problem of global optimization of multidimensional functionals. The paper presents a comparative analysis of the known algorithms of global optimization, describes an approach to the implementation of the algorithm.In the work, the Improved Black Hole algorithm was implemented, the efficiency of the algorithm was tested on various target functionals, and the analysis of the results obtained was also carried out, on the basis of which the advantages and disadvantages of the research algorithm were formulated. Chapter 1 provides a comparative analysis of several heuristic and meta-heuristic optimization algorithms. Chapter 2 is devoted to the implementation of the Black Hole algorithm. The results of testing the effectiveness of the algorithm are given in Chapter 3. As a result of the work, the Black Hole algorithm was implemented and its effectiveness for solving the problem of global optimization was investigated.