Open AccessMathematical experiment as a tool for modeling the freight transportation process
Author(s) -
Victor Bogachev,
Alexandra Kravets,
Taras Bogachev
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2131/2/022094
Subject(s) - process (computing) , heuristic , mathematical optimization , point (geometry) , pareto principle , computer science , integer programming , multi objective optimization , pareto optimal , nonlinear programming , integer (computer science) , mathematical model , operations research , nonlinear system , engineering , mathematics , statistics , physics , geometry , quantum mechanics , programming language , operating system
The process of multimodal freight transportation on a railway loop is investigated, for which a multicriteria optimization model with time indicators is created, which is a nonlinear integer programming problem. The developed approach is based on egalitarian and utilitarian principles in the welfare theory and allows (along with Pareto optimal transportation plans) to find other plans that can be considered rational from the point of view of maintaining the balance of interests of the transportation process participants. A mathematical experiment is an effective heuristic tool in research. The algorithm for solving the optimization problem is implemented in the environment of a computer algebra system and brought to numerical results.