A queueing model with dependence between service and interarrival times

O.J. Boxma, D. Perry

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Abstract

We consider a storage model that can be either interpreted as a certain queueing model with dependence between a service request and the subsequent interarrival time, or as a fluid production/inventory model with a two-state random environment. We establish a direct link between the workload distributions· of the queueing model and the production/inventory model, and we present a detailed analysis of the workload and waiting time process of the queueing system.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages14
Publication statusPublished - 1998

Publication series

NameMemorandum COSOR
Volume9827
ISSN (Print)0926-4493

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    Boxma, O. J., & Perry, D. (1998). A queueing model with dependence between service and interarrival times. (Memorandum COSOR; Vol. 9827). Technische Universiteit Eindhoven.