• DocumentCode
    1743562
  • Title

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

  • Author

    Altman, Eitan ; Gaujal, Bruno ; Hordijk, Arie

  • Author_Institution
    INRIA, Sophia Antipolis, France
  • Volume
    2
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    1852
  • Abstract
    We present the notion of multimodular triangulation under a new geometrical point of view. We also show the link with multimodular functions by a 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
  • Keywords
    geometry; graph theory; matrix algebra; minimisation; queueing theory; stochastic systems; cone ordering; convexity theorem; multimodular functions; multimodular triangulation; open loop stochastic control; partial ordering; queue admission control; simplex convexity; Admission control; Computer science; Indexing; Intelligent networks; Mathematics; Open loop systems; Personnel; Postal services; Stochastic processes; Zinc;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
  • Conference_Location
    Sydney, NSW
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-6638-7
  • Type

    conf

  • DOI
    10.1109/CDC.2000.912132
  • Filename
    912132