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BUSINESS INFORM №5-2018

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25

Section: Economic and Mathematical Modeling
UDC 338.24.01
Kovalova K. O., Misiura I. Y.
The Program Implementation of the Task of Distribution of Vehicles with Fixed Surcharges (p. 167 - 173)
The article is aimed at mathematical and computer simulation of the transport task of distribution of vehicles with fixed surcharges, or the task with discontinuous objective functions. The main attention was paid to the building of a mathematical model of the situational optimization task, which is often encountered in transportation practice, but does not have a universal approach to its solution. For this type of transport task, both general content and mathematical staging, together with a concrete example of their solution, are provided. The authors have deliberately chosen for the task of distributing vehicles with fixed surcharges an example with a small dimension of transport routes. The purpose is to increase the visibility and simplify the consideration of issues of their mathematical modeling. The issues of computer modeling of such tasks are considered in the article separately. For the first time, a new approach to solving them has been proposed: not only by means of computer mathematics, such as Excel and MATLAB, but using the genetic algorithm of «behavior of bees’ swarm», which has showed the best result in terms of the number of iterations. That, in turn, allows to apply the latter algorithm for the tasks with larger dimensions.
Keywords: transport task with fixed surcharges, computer simulation, algorithm of «behavior of bees’ swarm».
Fig.: 2. Tabl.: 1. Formulae: 11. Bibl.: 14.

Kovalova Kateryna O. – Candidate of Sciences (Engineering), Associate Professor, Department of Higher Mathematics and Economic and Mathematical Methods, Simon Kuznets Kharkiv National University of Economics (9a Nauky Ave., Kharkiv, 61166, Ukraine)
Email: [email protected]
Misiura Ievgeniia Yu. – Candidate of Sciences (Engineering), Associate Professor, Associate Professor, Department of Higher Mathematics and Economic and Mathematical Methods, Simon Kuznets Kharkiv National University of Economics (9a Nauky Ave., Kharkiv, 61166, Ukraine)
Email: [email protected]

Reference to this article:
Kovalova, Kateryna O., and Misiura, Ievgeniia Yu. (2018) “The Program Implementation of the Task of Distribution of Vehicles with Fixed Surcharges.” Business Inform 5:167–173.

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