Mathematical Model of a Two-Factor Transportation Problem With Weighting Coefficients

- Vakaliuk, Tetiana (orcid.org/0000-0001-6825-4697), Chyzhmotria, Oleksii V. (orcid.org/0000-0002-5515-6550), Semerikov, Serhiy O. (orcid.org/0000-0003-0789-0272) and Mintii, I.S. (orcid.org/0000-0003-3586-4311) (2023) Mathematical Model of a Two-Factor Transportation Problem With Weighting Coefficients In: 2023 IEEE 18th International Conference on Computer Science and Information Technologies (CSIT), 19-21 Oct. 2023, с. Lviv, Ukraine.

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Abstract

The article presents a two-factor transportation problem with weighting coefficients, which is formulated as a problem of finding the most profitable plan for the transportation of homogeneous cargo from points of departure to points of consumption in the conditions of two factors and the presence of weighting coefficients. The task is to develop a mathematical model of this problem. It is proposed to use the method of reducing the initial problem to the form of a classical transportation problem for the use of any of the existing solution algorithms in the future. The content of the developed step-by-step algorithm for reducing a two-factor transportation problem with weighting coefficients to the form of a classical transportation problem is presented, and the corresponding general scheme is given. The conclusions are drawn and the advantages of developing a software product for solving a two-factor transportation problem with weighting coefficients using the developed method are argued.

Item Type:	Conference or Workshop Item (Paper)
Keywords:	transportation problem, mathematical model, tariff matrix, factor, weighting coefficient, transportation plan
Subjects:	Science and knowledge. Organization. Computer science. Information. Documentation. Librarianship. Institutions. Publications > 00 Prolegomena. Fundamentals of knowledge and culture. Propaedeutics > 004 Computer science and technology. Computing. Data processing Science and knowledge. Organization. Computer science. Information. Documentation. Librarianship. Institutions. Publications > 5 Мathematics. natural sciences > 51 Mathematics
Divisions:	Institute for Digitalisation of Education > Department of Cloud-Oriented Systems and Artificial Intelligence in Education
Depositing User:	Сергій Олексійович Семеріков
Date Deposited:	09 Jul 2024 18:10
Last Modified:	09 Jul 2024 18:10
URI:	https://lib.iitta.gov.ua/id/eprint/741723

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