The problems of rational allocation of a multidimensional resource for multi-nomenclature production in conditions of uncertainty of the initial data

Object of research: the problem of rational allocation of a multidimensional resource to ensure multi-nomenclature production in conditions of uncertainty. Mathematical model of the problem: nonlinear non-separable multi-index mathematical programming problem based on a system of linear multi-index constraints. An important feature complicating the problem is the fuzziness of the source data. Convergent iterative procedure based on the proven theorem is proposed to solve the problem. The computational procedure consist of two stages. At the first stage, an acceptable, constraint-satisfying initial solution to the problem is found, which is improved step by step at the second stage. Refs.: 11 titles.

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Journal
Bulletin of the National Technical University KhPI A series of Information and Modeling
Published
2025-06-17
DOI
https://doi.org/10.20998/2411-0558.2025.01.02
Primary Topic
Statistical and Computational Modeling
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article
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article

The problems of rational allocation of a multidimensional resource for multi-nomenclature production in conditions of uncertainty of the initial data

Dmytro Sokolov, Larysa Sukhomlyn, Лев Раскін, Artur Hatunov
Bulletin of the National Technical University KhPI A series of Information and Modeling
Statistical and Computational Modeling
article

The problems of rational allocation of a multidimensional resource for multi-nomenclature production in conditions of uncertainty of the initial data

Dmytro Sokolov, Larysa Sukhomlyn, Лев Раскін, Artur Hatunov
article en

Abstract

Object of research: the problem of rational allocation of a multidimensional resource to ensure multi-nomenclature production in conditions of uncertainty. Mathematical model of the problem: nonlinear non-separable multi-index mathematical programming problem based on a system of linear multi-index constraints. An important feature complicating the problem is the fuzziness of the source data. Convergent iterative procedure based on the proven theorem is proposed to solve the problem. The computational procedure consist of two stages. At the first stage, an acceptable, constraint-satisfying initial solution to the problem is found, which is improved step by step at the second stage. Refs.: 11 titles.

Bulletin of the National Technical University KhPI A series of Information and ModelingVol. 1(1 (13))
Kremenchuk Mykhailo Ostrohradskyi National University (UA), National Technical University "Kharkiv Polytechnic Institute" (UA)
Openalex Percentile: Top 93%
Statistical and Computational Modeling
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The problems of rational allocation of a multidimensional resource for multi-nomenclature production in conditions of uncertainty of the initial data — Dmytro Sokolov, Larysa Sukhomlyn, et al. · Bulletin of the National Technical University KhPI A series of Information and Modeling (2025) | TGRS Research Map | TGRS