Analysis and optimization of vacation and polling models with retrials

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

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Samenvatting

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
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's24
StatusGepubliceerd - 2015

Publicatie series

NaamReport Eurandom
Volume2015004
ISSN van geprinte versie1389-2355

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Citeer dit

Abidini, M. A., Boxma, O. J., & Resing, J. A. C. (2015). Analysis and optimization of vacation and polling models with retrials. (Report Eurandom; Vol. 2015004). Eindhoven: Eurandom.