On a queue with correlated arrivals

On a queue with correlated arrivals

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Article ID: iaor2000540
Country: New Zealand
Volume: 3
Issue: 1
Start Page Number: 75
End Page Number: 84
Publication Date: Jan 1999
Journal: Journal of Applied Mathematics & Decision Sciences
Authors:
Abstract:

In this note we analyze the performance measures of a one server queue when arrivals are not independent. The analysis is based on the correlated Poisson distribution for customers arrival. Service may have any distribution. This type of queue is defined as MC/G/1. The formulas for the performance measures of the queue are derived without any approximation. Surprisingly, these formulas are very simple.

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