Algorithm for finding the optimal plan for solving a transport problem in network form

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The problem of finding an optimal solution to the classical transport problem, which is reduced to a network form of dynamic programming, has been investigated. The conditions of the problem from the transport table are translated into a graph with vertices and edges with numerical data values. A specific example shows an algorithm for translating a method for obtaining a reference plan, a method for potentials of a task with a transport table, to a problem with a network graph. The distinctive features of the methods are indicated, the rules for searching for a reference plan in a network format are given. A solution to the problem was found, the solution was checked for optimality also using a network graph.

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Transport problem, graph, potential method, network form, optimal plan

Короткий адрес: https://sciup.org/170205003

IDR: 170205003   |   DOI: 10.24412/2500-1000-2024-4-5-114-118

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