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

A. Haurie and Christian van Delft ()
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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

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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.

Keywords: Stochastic control; infinite horizon optimal control; turnpike properties; piecewise deterministic control problems (search for similar items in EconPapers)
Date: 1991-12
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Citations: View citations in EconPapers (4)

Published in Annals of Operations Research, 1991, Vol.29,n°1, pp.351-373. ⟨10.1007/BF02283605⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00482416

DOI: 10.1007/BF02283605

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