title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð² Ð³ÑÑÐ¿Ð¿Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÐºÐ»Ð°ÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸Ñ Ð¸Ð½ÑÐµÑÐ°ÐºÑÐ¸Ð¹
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: Development of an Algorithm for Student Grouping Based on Cluster Analysis of Their Interactions
Creators: name: ÐÐ¸Ð½, ÐÐ»ÐµÐºÑÐ°Ð½Ð´ÑÐ°
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: 2023
Subjects: ÐºÐ»Ð°ÑÑÐµÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·
Ð³ÑÐ°ÑÑ
Ð³ÐµÐ½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼
ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½ÑÐµ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ
Ð·Ð°Ð´Ð°ÑÐ° ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÐºÐ¾Ð¼Ð°Ð½Ð´Ñ
cluster analysis
graphs
genetic algorithm
social relationships
team formation problem

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð·Ð°Ð´Ð°ÑÐ° ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð½Ð° Ð¿Ð¾Ð´Ð³ÑÑÐ¿Ð¿Ñ Ð´Ð»Ñ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð·Ð°Ð´Ð°Ð½Ð¸Ð¹ Ð¿Ð¾ ÑÑÐµÐ±Ð½ÑÐ¼ Ð´Ð¸ÑÑÐ¸Ð¿Ð»Ð¸Ð½Ð°Ð¼. ÐÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÑÐ°Ð´Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð´Ð³ÑÑÐ¿Ð¿, Ð½Ð°Ð¿ÑÐ¸Ð¼ÐµÑ, Ð¿ÑÐ¸ ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ð¸ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð¿Ð¾ ÑÐ¿Ð¸ÑÐºÑ Ð¸Ð»Ð¸ Ñ ÑÑÐµÑÐ¾Ð¼ ÑÑÐ¿ÐµÐ²Ð°ÐµÐ¼Ð¾ÑÑÐ¸ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð², Ð½Ðµ Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÑÑÑÑ Ð²Ð¾ Ð²Ð½Ð¸Ð¼Ð°Ð½Ð¸Ðµ ÑÐ»Ð¾Ð¶Ð¸Ð²ÑÐ¸ÐµÑÑ Ð¼ÐµÐ¶Ð´Ñ ÑÑÑÐ´ÐµÐ½ÑÐ°Ð¼Ð¸ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½ÑÐµ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ. ÐÐ´Ð½Ð°ÐºÐ¾ Ð´ÑÑÐ¶ÐµÑÑÐ²ÐµÐ½Ð½Ð°Ñ Ð¸ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾ ÐºÐ¾Ð¼ÑÐ¾ÑÑÐ½Ð°Ñ Ð¾Ð±ÑÑÐ°Ð½Ð¾Ð²ÐºÐ° Ð¼Ð¾Ð¶ÐµÑ Ð¾ÐºÐ°Ð·Ð°ÑÑ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð³ÑÑÐ¿Ð¿Ð¾Ð²Ð¾Ð³Ð¾ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐµÐ°Ð»Ð¸Ð·ÑÐµÑÑÑ ÐºÐ¾Ð¼Ð±Ð¸Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð¿Ð¾Ð´ÑÐ¾Ð´, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ¸Ð¹ ÐºÐ»Ð°ÑÑÐµÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð´Ð»Ñ ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð½Ð° Ð¿Ð¾Ð´Ð³ÑÑÐ¿Ð¿Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐ»Ð¾Ð¶Ð¸Ð²ÑÐ¸ÑÑÑ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ð¹ Ñ ÑÑÐµÑÐ¾Ð¼ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ Ð² ÐºÐ°Ð¶Ð´Ð¾Ð¹ Ð¿Ð¾Ð´Ð³ÑÑÐ¿Ð¿Ðµ ÑÐ°Ð·Ð½Ð¾Ð¾Ð±ÑÐ°Ð·Ð¸Ñ Ð½Ð°Ð²ÑÐºÐ¾Ð², Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼ÑÑ Ð´Ð»Ñ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð·Ð°Ð´Ð°Ð½Ð¸Ñ. ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¸Ð¼ÐµÐµÑ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð» Ð´Ð»Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ Ð¾ÑÐ³Ð°Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ Ð¿Ð¾ Ð´Ð¸ÑÑÐ¸Ð¿Ð»Ð¸Ð½Ð°Ð¼, ÑÐ¾ÑÐ¼Ð°Ñ ÐºÐ¾ÑÐ¾ÑÑÑ Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð°Ð³Ð°ÐµÑ ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð½Ð° Ð¿Ð¾Ð´Ð³ÑÑÐ¿Ð¿Ñ Ð´Ð»Ñ ÑÐ°Ð±Ð¾ÑÑ Ð½Ð°Ð´ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÑÐºÐ¸Ð¼ Ð¿ÑÐ¾ÐµÐºÑÐ¾Ð¼ Ð¸Ð»Ð¸ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð·Ð°Ð´Ð°Ð½Ð¸ÐµÐ¼ Ð¿Ð¾ Ð´Ð¸ÑÑÐ¸Ð¿Ð»Ð¸Ð½Ðµ.
description: This paper addresses the problem of dividing students into subgroups for practical assignments in academic disciplines. Traditional methods of subgroup formation, such as dividing students based on a list or considering their academic performance, do not consider the social relationships that have developed among students. However, a friendly and socially comfortable environment can significantly influence the effectiveness and productivity of group learning. This work proposes a combined approach that utilizes cluster analysis to divide students into subgroups based on their existing social relationships, while ensuring diversity of skills necessary for completing practical assignments within each subgroup. The proposed algorithm has the potential to be applied in organizing education for disciplines that involve dividing students into subgroups to work on research projects or practical assignments.