A queueing model with dependence between service and interarrival times

O.J. Boxma, D. Perry

Research output: Contribution to journalArticleAcademicpeer-review

18 Citations (Scopus)

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
Pages (from-to)611-624
JournalEuropean Journal of Operational Research
Volume128
Issue number3
DOIs
Publication statusPublished - 2001

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