title: ÐÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÐÐ°ÑÐµÑÐ¾ Ð² Ð·Ð°Ð´Ð°ÑÐ°Ñ Ð´Ð²ÑÑ ÑÑÐ¾Ð²Ð½ÐµÐ²Ð¾Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
title: Features of constructing Pareto region in bilevel optimization problems
Creators: name: ÐÐ¸Ð¿Ð¸Ñ, ÐÐµÐ¾ÑÐ³Ð¸Ð¹
name: Ð§ÐµÑÐ½ÐµÐ½ÑÐºÐ°Ñ , ÐÑÐ´Ð¼Ð¸Ð»Ð°
name: "Ð¡Ð¸ÑÑÐµÐ¼Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð² Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð¾-Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (27; 2023; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2024
Subjects: ÐÑÐ¸Ð½ÑÑÐ¸Ðµ ÑÐµÑÐµÐ½Ð¸Ð¹
ÑÐµÐ»ÐµÐ²ÑÐµ ÑÑÐ½ÐºÑÐ¸Ð¸
Ð¾Ð±Ð»Ð°ÑÑÑ ÐÐ°ÑÐµÑÐ¾
Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ¸ÑÐµÑÐ¸Ð°Ð»ÑÐ½Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
Ð¿Ð¾Ð¸ÑÐº Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸
Ð´Ð²ÑÑ ÑÑÐ¾Ð²Ð½ÐµÐ²Ð°Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ
Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð¾ÑÐµÐ½ÐºÐ° ÑÑ Ð¾Ð´Ð¸Ð¼Ð¾ÑÑÐ¸
objective functions
Pareto region
multi-criteria optimization
search for efficiency region
bilevel optimization
model
convergence assessment

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description: Currently, finding the Pareto region plays an important role in the search for rational solutions in various areas of human activity, as it visualizes non-domain solutions. Methods for constructing Pareto areas for multi-criteria optimization problems have been well studied, and there are many methods and recommendations for constructing such areas, which cannot be said about bilevel or multi-level optimization problems. In this work, the authors present the features of constructing Pareto areas when solving a two-level optimization problem, which will allow further research of this issue to develop effective methods and algorithms for visualizing the area of efficiency in solving both two-level and multi-level optimization problems.