IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/94647.html
   My bibliography  Save this paper

Использование Pde-Моделей Для Построения Единой Теории Производственных Линий
[Using PDE-models for a unified theory of production lines]

Author

Listed:
  • Пигнастый, Олег

Abstract

В статье обсуждается введенный автором (2003 г.) [1] класс моделей производственных систем с поточным способом организации производства, широко используемый в настоящее время для построения эффективных систем управления производственными линиями [2,3]. Модели класса, определяющие поведение параметров производственной линии с помощью уравнений в частных производных, получили название PDE-моделей производственных систем [2–4], в последнее десятилетие успешно использованы для описания квазистатических, так и некоторых неустановившихся переходных процессов [5]. This paper discusses a class of models of production systems [1]. 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 transient processes [5].

Suggested Citation

  • Пигнастый, Олег, 2014. "Использование Pde-Моделей Для Построения Единой Теории Производственных Линий [Using PDE-models for a unified theory of production lines]," MPRA Paper 94647, University Library of Munich, Germany, revised 06 Sep 2014.
    • Handle: RePEc:pra:mprapa:94647
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/94647/1/MPRA_paper_94647.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Stephen C. Graves, 1986. "A Tactical Planning Model for a Job Shop," Operations Research, INFORMS, vol. 34(4), pages 522-533, August.
    2. 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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Gahm, Christian & Uzunoglu, Aykut & Wahl, Stefan & Ganschinietz, Chantal & Tuma, Axel, 2022. "Applying machine learning for the anticipation of complex nesting solutions in hierarchical production planning," European Journal of Operational Research, Elsevier, vol. 296(3), pages 819-836.
    3. Peter J. H. Hulshof & Martijn R. K. Mes & Richard J. Boucherie & Erwin W. Hans, 2016. "Patient admission planning using Approximate Dynamic Programming," Flexible Services and Manufacturing Journal, Springer, vol. 28(1), pages 30-61, June.
    4. Kefeli, Ali & Uzsoy, Reha & Fathi, Yahya & Kay, Michael, 2011. "Using a mathematical programming model to examine the marginal price of capacitated resources," International Journal of Production Economics, Elsevier, vol. 131(1), pages 383-391, May.
    5. Scott Webster & Z. Kevin Weng, 2001. "Improving Repetitive Manufacturing Systems: Model and Insights," Operations Research, INFORMS, vol. 49(1), pages 99-106, February.
    6. Apostolos Kotsialos, 2010. "A hydrodynamic modelling framework for production networks," Computational Management Science, Springer, vol. 7(1), pages 61-83, January.
    7. Ramasesh, Ranga V. & Fu, Haizhen & Fong, Duncan K. H. & Hayya, Jack C., 2000. "Lot streaming in multistage production systems," International Journal of Production Economics, Elsevier, vol. 66(3), pages 199-211, July.
    8. Morikawa, Katsumi & Takahashi, Katsuhiko & Hirotani, Daisuke, 2014. "Make-to-stock policies for a multistage serial system under a make-to-order production environment," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 30-37.
    9. Tito Homem-de-Mello & Alexander Shapiro & Mark L. Spearman, 1999. "Finding Optimal Material Release Times Using Simulation-Based Optimization," Management Science, INFORMS, vol. 45(1), pages 86-102, January.
    10. Kumar, Kunal & Aouam, Tarik, 2019. "Extending the strategic safety stock placement model to consider tactical production smoothing," European Journal of Operational Research, Elsevier, vol. 279(2), pages 429-448.
    11. Ghadimi, Foad & Aouam, Tarik & Haeussler, Stefan & Uzsoy, Reha, 2022. "Integrated and hierarchical systems for coordinating order acceptance and release planning," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1277-1289.
    12. Stephen C. Graves & David B. Kletter & William B. Hetzel, 1998. "A Dynamic Model for Requirements Planning with Application to Supply Chain Optimization," Operations Research, INFORMS, vol. 46(3-supplem), pages 35-49, June.
    13. Ouyang, Yanfeng, 2007. "The effect of information sharing on supply chain stability and the bullwhip effect," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1107-1121, November.
    14. Nihat Altintas & Michael Trick, 2014. "A data mining approach to forecast behavior," Annals of Operations Research, Springer, vol. 216(1), pages 3-22, May.
    15. Joglekar, Nitin R. & Ford, David N., 2005. "Product development resource allocation with foresight," European Journal of Operational Research, Elsevier, vol. 160(1), pages 72-87, January.
    16. Edward G. Anderson, Jr., 2001. "The Nonstationary Staff-Planning Problem with Business Cycle and Learning Effects," Management Science, INFORMS, vol. 47(6), pages 817-832, June.
    17. Пигнастый, Олег, 2015. "Обзор Моделей Управляемых Производственных Процессов Поточных Линий Производственных Систем [Overview of models of controlled production processes of production line production lines]," MPRA Paper 93413, University Library of Munich, Germany, revised 04 Mar 2015.
    18. Subba Rao, S. & Gunasekaran, A. & Goyal, S. K. & Martikainen, T., 1998. "Waiting line model applications in manufacturing," International Journal of Production Economics, Elsevier, vol. 54(1), pages 1-28, January.
    19. Delasay, Mohammad & Ingolfsson, Armann & Kolfal, Bora & Schultz, Kenneth, 2019. "Load effect on service times," European Journal of Operational Research, Elsevier, vol. 279(3), pages 673-686.
    20. Manda, A.B. & Uzsoy, Reha, 2021. "Managing product transitions with learning and congestion effects," International Journal of Production Economics, Elsevier, vol. 239(C).

    More about this item

    Keywords

    PDE-модель; производственная линия; массовое производство; незавершенное производство; система управления; балансовые уравнения; производственной линии; уравнение состояния; дискретно-событийная модель; теория массового обслуживания; модель жидкости; Clearing-функция; квазистатический процесс; переходный процесс; стохастический процесс;
    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
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:94647. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.