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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
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages14
Publication statusPublished - 2014

Publication series

NameReport Eurandom
Volume2014017
ISSN (Print)1389-2355

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  • Cite this

    Boxma, O. J., & Resing, J. A. C. (2014). Vacation and polling models with retrials. (Report Eurandom; Vol. 2014017). Eurandom.