A queueing model with dependence between service and interarrival times |
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| Affiliation: | 1. School of Reliability and Systems Engineering, Beihang University, Beijing, China;2. Science and Technology on Reliability and Environmental Engineering Laboratory, Beihang University, Beijing, China;3. Data Center of China Life Insurance Company Ltd., Beijing, China |
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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. |
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