The statement of the task of optimal control of the production line using the additional time of equipment operation

Valery Khodusov and Oleh Pihnastyi

MPRA Paper from University Library of Munich, Germany

Abstract: The production line of an enterprise with a flow method of organizing production is considered as a dynamic distributed system. The technological route for manufacturing products for many modern enterprises contains several hundreds of technological operations, in the inter-operating reserve of each of which there are thousands of products awaiting processing. Technological routes of different parts of the same type of products intersect. This leads to the fact that the distribution of objects of labor along the technological route has a significant impact on the throughput capacity of the production line. To describe such systems, a new class of production line models (PDE-model) has been introduced. Models of this class use partial differential equations to describe the behaviour of production line flow parameters. In this article, a PDE-model of the production line is built, the flow parameters of which depend on the load factor of the process equipment for each operation. For the description of a distributed dynamic system, the PDE model of the production line was used. At the same time, the single-shift mode of operation of a production enterprise is considered as a basic mode of operation.

Keywords: production line; PDE-model of production; balance equations; work in progress (search for similar items in EconPapers)
JEL-codes: C02 C15 C25 C44 D24 L23 Q21 (search for similar items in EconPapers)
Date: 2019-09-10, Revised 2019-09-10
New Economics Papers: this item is included in nep-ore
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Published in Bulletin of V. Karazin Kharkiv National University 42 (2019): pp. 84-92

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