Vacation and polling models with retrials

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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
Title of host publicationComputer Performance Engineering (11th European Workshop, EPEW 2014, Florence, Italy, September 11-12, 2014. Proceedings)
EditorsA. Horváth, K. Wolter
Place of PublicationBerlin
PublisherSpringer
Pages45-58
ISBN (Print)978-3-319-10884-1
DOIs
Publication statusPublished - 2014
Event11th European Performance Engineering Workshop (EPEW 2014), September 11-12, 2014, Florence, Italy - Florence, Italy
Duration: 11 Sep 201412 Sep 2014
http://www.epew2014.unifi.it/

Publication series

NameLecture Notes in Computer Science
Volume8721
ISSN (Print)0302-9743

Workshop

Workshop11th European Performance Engineering Workshop (EPEW 2014), September 11-12, 2014, Florence, Italy
Abbreviated titleEPEW 2014
CountryItaly
CityFlorence
Period11/09/1412/09/14
Internet address

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  • Cite this

    Boxma, O. J., & Resing, J. A. C. (2014). Vacation and polling models with retrials. In A. Horváth, & K. Wolter (Eds.), Computer Performance Engineering (11th European Workshop, EPEW 2014, Florence, Italy, September 11-12, 2014. Proceedings) (pp. 45-58). (Lecture Notes in Computer Science; Vol. 8721). Springer. https://doi.org/10.1007/978-3-319-10885-8_4