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Optimal Control of the Parameters of the Production Line

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  • Pihnastyi, Oleh

Abstract

The problem of optimal control of the parameters of the production flow line - stocks (work in process) and the rate of processing of objects of labour for a technological operation is considered. The article presents a mathematical formulation of the problem of controlling the parameters of a production line with restrictions on work in progress and the speed of machining parts for each technological operation. The control program is determined by the specified quality criteria. An example of the calculation of the optimal control for the production line parameters is presented.

Suggested Citation

  • Pihnastyi, Oleh, 2019. "Optimal Control of the Parameters of the Production Line," MPRA Paper 92495, University Library of Munich, Germany, revised 02 Feb 2019.
    • Handle: RePEc:pra:mprapa:92495
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    File URL: https://mpra.ub.uni-muenchen.de/92495/1/MPRA_paper_92495.pdf
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    References listed on IDEAS

    as
    1. Tian, Feng & Willems, Sean P. & Kempf, Karl G., 2011. "An iterative approach to item-level tactical production and inventory planning," International Journal of Production Economics, Elsevier, vol. 133(1), pages 439-450, September.
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    More about this item

    Keywords

    production line; PDE-model of production; balance equations; transition period; work in progress;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production
    • Q21 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Demand and Supply; Prices

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