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Основы Статистической Теории Построения Континуальных Моделей Производственных Линий
[Fundamentals Of The Statistical Theory Of The Construction Of Continuum Models Of Production Lines]

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  • Пигнастый, Олег

Abstract

В статье обсуждается введенный автором в опубликованных ранее работах (2003 г.) класс моделей производственных систем с поточным способом организации производства, широко используемый в настоящее время для построения эффективных систем управления производственными линиями. Модели класса, определяющие поведение параметров производственной линии с помощью уравнений в частных производных, получили название PDE-моделей производственных систем This paper discusses a class of PDE-models of production systems [1]. PDE-Models are widely used today for building effective systems of production lines [2, 3]. Class model parameters determine the behaviour of the production line with the help of partial differential equations (PDE-model) [2–4], in the last decade successfully used to describe the quasi-static and transients.

Suggested Citation

  • Пигнастый, Олег, 2014. "Основы Статистической Теории Построения Континуальных Моделей Производственных Линий [Fundamentals Of The Statistical Theory Of The Construction Of Continuum Models Of Production Lines]," MPRA Paper 95240, University Library of Munich, Germany, revised 20 Aug 2014.
    • Handle: RePEc:pra:mprapa:95240
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    References listed on IDEAS

    as
    1. Dieter Armbruster & Daniel E. Marthaler & Christian Ringhofer & Karl Kempf & Tae-Chang Jo, 2006. "A Continuum Model for a Re-entrant Factory," Operations Research, INFORMS, vol. 54(5), pages 933-950, October.
    2. Jakob Asmundsson & Ronald L. Rardin & Can Hulusi Turkseven & Reha Uzsoy, 2009. "Production planning with resources subject to congestion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 142-157, March.
    3. Erjen Lefeber, 2012. "Modeling and Control of Manufacturing Systems," Springer Books, in: Dieter Armbruster & Karl G. Kempf (ed.), Decision Policies for Production Networks, edition 127, pages 9-30, Springer.
    4. Stephen C. Graves, 1986. "A Tactical Planning Model for a Job Shop," Operations Research, INFORMS, vol. 34(4), pages 522-533, August.
    5. 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.
    6. Fenglan He & Ming Dong & Xiaofeng Shao, 2011. "Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-14, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    PDE-model; work in progress; balance equations; equation of state;
    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

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