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A queueing model with dependence between service and interarrival times. (English) Zbl 0996.90034
Summary: 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.

90B22 Queues and service in operations research
90B30 Production models
60K25 Queueing theory (aspects of probability theory)
Full Text: DOI
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