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The Production Planning Problem: Clearing Functions, Variable Lead Times, Delay Equations and Partial Differential Equations

In: Decision Policies for Production Networks

Author

Listed:
  • D. Armbruster

    (Arizona State University)

Abstract

Determining the production rate of a factory as a function of current and previous states is at the heart of the production planning problem. Different approaches to this problem presented in this book are reviewed and their relationship is discussed. Necessary conditions for the success of a clearing function as a quasi steady approximation are presented and more sophisticated approaches allowing the prediction of outflow in transient situations are discussed. Open loop solutions to the deterministic production problem are introduced and promising new research directions are outlined.

Suggested Citation

  • D. Armbruster, 2012. "The Production Planning Problem: Clearing Functions, Variable Lead Times, Delay Equations and Partial Differential Equations," Springer Books, in: Dieter Armbruster & Karl G. Kempf (ed.), Decision Policies for Production Networks, edition 127, pages 289-302, Springer.
    • Handle: RePEc:spr:sprchp:978-0-85729-644-3_12
    DOI: 10.1007/978-0-85729-644-3_12
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    Citations

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    Cited by:

    1. Пигнастый, Олег & Заруба, Виктор & Ходусов, Валерий, 2015. "Моделирование Движения Предмета Труда По Технологическому Маршруту В Двухкоординатном Описании [Simulation of the motion of the subject of labour on a technological route in the description of the ," MPRA Paper 93150, University Library of Munich, Germany, revised 14 Nov 2015.
    2. Пигнастый, Олег & Ходусов, Валерий, 2015. "Использование Кинетической Теории Для Исследования Колебаний Потоковых Параметров Производственной Линии [Using the kinetic theory for the study of vibrations streaming parameters of the production," MPRA Paper 93657, University Library of Munich, Germany, revised 09 Jun 2015.
    3. Пигнастый, Олег & Ходусов, Валерий & Азаренков, Николай, 2014. "Кинетическая Теория Колебаний Параметров Поточной Линии [Kinetic theory of fluctuations of the parameters of a production line]," MPRA Paper 93991, University Library of Munich, Germany, revised 01 Dec 2014.
    4. Pihnastyi, Oleh & Bondarenko, Kristina, 2016. "About the problem of selecting models for production line," MPRA Paper 91235, University Library of Munich, Germany, revised 07 Jan 2018.
    5. A. Mustafin & A. Kantarbayeva, 2022. "Clearing function in the context of the invariant manifold method," Papers 2206.11205, arXiv.org.

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