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Simplex convexity with application to open-loop stochastic control in networks

Eitan Altman 1 Bruno Gaujal 2 Arie Hordijk
2 TRIO - Real time and interoperability
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper, we present the notion of multimodular triangulation under a new geometrical point of view. We also show the link with multimodular functions by a new proof of the convexity theorem. This is used to define a partial ordering compatible with multimodularity called the cone ordering. An application in admission control in queues is then presented.
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https://hal.inria.fr/inria-00099128
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Submitted on : Tuesday, September 26, 2006 - 8:51:15 AM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM

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  • HAL Id : inria-00099128, version 1

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Eitan Altman, Bruno Gaujal, Arie Hordijk. Simplex convexity with application to open-loop stochastic control in networks. 39th Conference on Decision & Control, 2000, Sydney/Australia, 6 p. ⟨inria-00099128⟩

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