Open AccessThe statement of the task of optimal control of the production line using the additional time of equipment operation
Author(s) -
Valery Khodusov,
Oleh Pihnastyi
Publication year - 2019
Publication title -
vìsnik harkìvsʹkogo nacìonalʹnogo unìversitetu ìmenì v.n. karazìna. serìâ matematične modelûvannâ, ìnformacìjnì tehnologìï, avtomatizovanì sistemi upravlìnnâ
Language(s) - English
Resource type - Journals
eISSN - 2524-2601
pISSN - 2304-6201
DOI - 10.26565/2304-6201-2019-42-09
Subject(s) - production (economics) , production line , computer science , material flow , line (geometry) , flow (mathematics) , process (computing) , industrial engineering , production control , flow line , throughput , task (project management) , mode (computer interface) , production manager , engineering , systems engineering , mechanical engineering , mathematics , telecommunications , economics , ecology , wireless , macroeconomics , operating system , geometry , biology
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.