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- Title
Correlated queues with service times depending on inter-arrival times.
- Authors
Dai, Weimin; Hu, Jian-Qiang
- Abstract
We consider a type of correlated queue in which the service time of a customer depends on the inter-arrival time between him and the previous customer. We first derive an infinite system of linear equations for the moments of the system time, based on which we then develop several methods to calculate the moments of the system time by using MacLaurin series expansion and Padé approximation. In addition, we show how the moments and covariances of the inter-departure times of the correlated queue can be calculated based on the moments of the system time. Finally, numerical examples are provided to validate our methods.
- Subjects
LINEAR equations; LINEAR systems; MOMENTS method (Statistics); CUSTOMER services
- Publication
Queueing Systems, 2022, Vol 100, Issue 1/2, p41
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-021-09718-7