A queueing model with dependence between service and interarrival times

A queueing model with dependence between service and interarrival times

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Article ID: iaor20014211
Country: Netherlands
Volume: 128
Issue: 3
Start Page Number: 611
End Page Number: 624
Publication Date: Feb 2001
Journal: European Journal of Operational Research
Authors: ,
Keywords: M/G/1 queues
Abstract:

We consider a storage model that can be either interpreted as a certain queuing 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.

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