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Vacation and Polling Models with Retrials

  • Onno Boxma
  • Jacques Resing
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8721)

Abstract

We study a vacation-type queueing model, and a single-server multi-queue polling model, with the special feature of retrials. Just before the server arrives at a station there is some deterministic glue period. Customers (both new arrivals and retrials) arriving at the station during this glue period will be served during the visit of the server. Customers arriving in any other period leave immediately and will retry after an exponentially distributed time. Our main focus is on queue length analysis, both at embedded time points (beginnings of glue periods, visit periods and switch- or vacation periods) and at arbitrary time points.

Keywords

Vacation queue polling model retrials 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Onno Boxma
    • 1
  • Jacques Resing
    • 1
  1. 1.EURANDOM and Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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