Abstract
The results of studies on optimizing the location of regional centers for maintenance and repair of agricultural machinery are presented. An original technique is proposed, the implementation of which includes three stages. The number of regional centers for maintenance and repair of agricultural machinery in the region, taking into account the relevant basic dealer standards, depending on the number of agricultural machinery in the region under consideration, was determined at the first stage.The second stage included the division of the considered territorial area into subareas, using the theory of sets. The elements of set theory made it possible to establish a one-to-one correspondence between the area under consideration as a territorial subject and a certain set as a mathematical object with certain mathematical properties. The elements of set theory made it possible to establish a one-to-one correspondence between the area under consideration as a territorial subject and a certain set as a mathematical object with certain mathematical properties. The representation of an area, which is a territorial unit, as a set, defined as a mathematical object, made it possible to abstract and proceed to the study of its physical properties using mathematical symbols and criteria. he values of the effective time for each district center included in the subdomain under consideration were determined at the final stage, and the choice of one district center within each subdomain under consideration was carried out according to the smallest value of the effective time. The coefficient of availability of serviced equipment for a particular district center, in which it was supposed to design a center for maintenance and repair of agricultural equipment, was used in calculating the effective time. It was determined that the travel time of a service center specialist - 1.8 hours was established. The optimal distance for finding technical service objects from the main or additional service centers - no more than 63 km was established.
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