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Turnpike properties for a class of piecewise deterministic systems arising in manufacturing flow control

Author

Listed:
  • A. Haurie

    (GERAD, École des Hautes Études Commerciales, Montréal - École des Hautes Études Commerciales, Montréal)

  • Christian van Delft

    (Département d'Economie Commerciale et Industrielle, Faculté des Sciences Economiques et Sociales, Université de Genève - UNIGE - Université de Genève = University of Geneva)

Abstract

This paper deals with a general class of piecewise deterministic control systems that encompasses FMS flow control models. One uses the Markov renewal decision process formalism to characterize optimal policies via a discrete event dynamic programming approach. A family of control problems with a random stopping time is associated with these optimality conditions. These problems can be reformulated as infinite horizon deterministic control problems. It is then shown how the so-calledturnpike property should hold for these deterministic control problems under classical convexity assumptions. These turnpikes have the same generic properties as the attractors obtained via a problem specific approach in FMS flow control models and production planning and are calledhedging points in this literature.

Suggested Citation

  • A. Haurie & Christian van Delft, 1991. "Turnpike properties for a class of piecewise deterministic systems arising in manufacturing flow control," Post-Print hal-00482416, HAL.
    • Handle: RePEc:hal:journl:hal-00482416
    DOI: 10.1007/BF02283605
    as

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    Citations

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    Cited by:

    1. Vassili Kolokoltsov & Wei Yang, 2012. "Turnpike Theorems for Markov Games," Dynamic Games and Applications, Springer, vol. 2(3), pages 294-312, September.
    2. Dawid, Herbert & Keoula, Michel Y. & Kopel, Michael & Kort, Peter M., 2015. "Product innovation incentives by an incumbent firm: A dynamic analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 411-438.
    3. Haurie, A., 1995. "Time scale decomposition in production planning for unreliable flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 82(2), pages 339-358, April.
    4. Haurie, A. & van Delft, Ch., 1995. "Turnpikes in flow control models of unreliable manufacturing systems," European Journal of Operational Research, Elsevier, vol. 82(2), pages 359-372, April.

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