Analysis of an M/G/1 queue with customer impatience and an adaptive arrival process

O.J. Boxma, B.J. Prabhu

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We study an M/G/1 queue with impatience and an adaptive arrival process. The rate of the arrival process changes according to whether an incoming customer is accepted or rejected. We analyse two different models for impatience : (i) based on workload, and (ii) based on queue length. For the workload-based model, we obtain the Laplace-Stieltjes Transform of the joint stationary workload and arrival rate process, and that of the waiting time. For the queue-length based model we obtain the analogous z-transform. These queueing models also capture the interaction between congestion control algorithms and queue management schemes in the Internet.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's17
StatusGepubliceerd - 2009

Publicatie series

NaamReport Eurandom
Volume2009028
ISSN van geprinte versie1389-2355

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