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On the busy period of the M/G/1 retrial queue

✍ Scribed by J.R. Artalejo; M.J Lopez-Herrero

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
150 KB
Volume
47
Category
Article
ISSN
0894-069X

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✦ Synopsis

The M/G/1 queue with repeated attempts is considered. A customer who finds the server busy, leaves the service area and joins a pool of unsatisfied customers. Each customer in the pool repeats his demand after a random amount of time until he finds the server free. We focus on the busy period L of the M/G/1 retrial queue. The structure of the busy period and its analysis in terms of Laplace transforms have been discussed by several authors. However, this solution has serious limitations in practice. For instance, we cannot compute the first moments of L by direct differentiation. This paper complements the existing work and provides a direct method of calculation for the second moment of L.

πŸ“œ SIMILAR VOLUMES

On the orbit characteristics of the M/G/
On the orbit characteristics of the M/G/ 1 retrial queue
✍ J. R. Artalejo; G. I. Falin πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 747 KB

In teletraffic applications of retrial queues only the service zone is observable. Another part of a retrial queue, the orbit, which represents the delay before repeated attempts to get service, cannot be observed. Thus, it is very important to get general results about behavior of the orbit. We inv