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1 results

  • Stability of spatial queueing systems

  • Part of
  • C. Bordenave
  • Journal:
    Advances in Applied Probability / Volume 38 / Issue 2 / June 2006
    Published online by Cambridge University Press:
    01 July 2016, pp. 487-504
    Print publication:
    June 2006
    • Article
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  • In this paper, we analyze a queueing system characterized by a space-time arrival process of customers served by a countable set of servers. Customers arrive at points in space and the server stations have space-dependent processing rates. The workload is seen as a Radon measure and the server stations can adapt their power allocation to the current workload. We derive the stability region of the queueing system in the usual stationary ergodic framework. The analysis of this stability region gives some counter-intuitive results. Some specific subclasses of policy are also studied. Wireless communications networks is a natural field of application for the model.