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Authors

Maximenko V.

Degree
PhD in Engineering, Professor, Far Eastern Federal University
E-mail
maximenko.vi@dvfu.ru
Location
Vladivostok
Articles

Complex optimization problem of production-transport processes

This article contains a model of generalization of three previously known linear programming problems: The production problem (Classical setting) — the solution is a vector of the number of produced final products, found with limitations on the number of resources taking into account of maximization of profit. The task of accounting for time — this task is rather an additional condition in the general system of restrictions and relates to the objective function (minimization of the total time spent on the transportation of goods), the transport task — determination of the ways and volume of transportation of products on the graph (road system). The statement of the problem, which integrates all three of the above problems into one integrated one, is exactly suited to the case when the task of determining the volume of production of various types of products is followed by the determination of the transport routes to each point of consumption (the consumer) so as to minimize, taking into account of capacity of the graph roads) transportation costs. This task appeared on the timber-processing complex in the process of production and sale of goods. This paper is devoted to constructing a linear mixed-integer model, finding a method and selecting an algorithm for determining the optimal solution to the production and transportation problem. This problem can be attributed to the class of non-trivial combinatorial problems when making decisions at an enterprise.
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