Analysis and optimization of vacation and polling models with retrials

M.A. Abidini, O.J. Boxma, J.A.C. Resing

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)
5 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)52-69
Number of pages18
JournalPerformance Evaluation
Volume98
DOIs
Publication statusPublished - 1 Apr 2016

Keywords

  • Polling model
  • Retrials
  • Vacation queue

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