title: ÐÐµÑÐ¾Ð´ ÑÐ°ÑÐ¿Ð¾Ð·Ð½Ð°ÑÑÐµÐ³Ð¾ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð° Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸Ð½ÑÐµÑÐ²Ð°Ð»ÑÐ½Ð¾Ð¹ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾ Ð´Ð¾Ð¿ÑÑÐºÐ°Ñ ÐºÐ°Ðº Ð·Ð°Ð´Ð°ÑÐ° Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: The recognizing functional method for solving the interval linear tolerance problem as the linear programming problem
Creators: name: Ð¡Ð¼Ð¾Ð»ÑÑÐºÐ¸Ð¹, ÐÐ°ÐºÑÐ¸Ð¼
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: ÐÐ¸Ð½ÐµÐ¹Ð½Ð¾Ðµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
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ÐºÐ¾ÑÑÐµÐºÑÐ¸Ñ
interval linear tolerance problem
recognizing functional method
correction

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description: The subject of the graduate qualification work is Â«The recognizing functionalÂ method for solving the interval linear tolerance problem as the linear programmingÂ problemÂ». This dissertation is devoted to the interval linear tolerance problem, namely - refinement of the known corrections of the right-hand side vector and the matrix of the system, representation of the problem of maximizing the recognizing functional in the form of a linear programming problem and the proposal of a new optimal correction of the right-hand side vector.It was shown that the refined corrections are no worse than the known ones, and their main properties were investigated. It was shown that the problem of maximizing the recognizing functional is a linear programming problem, and due to this it was naturally generalized to the case of linear constraints. An optimal correction of the right-hand side vector was also proposed in the form of a linear programming problem. Computational experiments were carried out to evaluate the effectiveness of the proposed approaches. Unsolvable typical problems of input-output economic model of small, medium and large dimensions, generated randomly, were considered. Computational experiments have shown the effectiveness of the proposed approaches.