Queueing model with dependence between service and interarrival times

O. J. Boxma; D. Perry

doi:10.1016/S0377-2217(99)00396-3

Queueing model with dependence between service and interarrival times

O. J. Boxma, D. Perry

Department of Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	611-624
Number of pages	14
Journal	European Journal of Operational Research
Volume	128
Issue number	3
DOIs	https://doi.org/10.1016/S0377-2217(99)00396-3
State	Published - 1 Feb 2001

ASJC Scopus subject areas

General Computer Science
Modeling and Simulation
Management Science and Operations Research
Information Systems and Management

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10.1016/S0377-2217(99)00396-3

Cite this

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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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AB - 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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Queueing model with dependence between service and interarrival times

Abstract

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