An Analysis of the M/G/1 Retrial Queue with Negative Arrivals using a Martingale Technique

An Analysis of the M/G/1 Retrial Queue with Negative Arrivals using a Martingale Technique

We consider the M/G/1 retrial queue with negative arrivals. Using the technique of Baccelli and Makowski (1985, 1989) we define a martingale with respect to an embedded process. Using this, an analysis of the stationary behavior of the queue is possible.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014, Vol.196 (1), p.11-14
Hauptverfasser: Berdjoudj, L., Aissani, D.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We consider the M/G/1 retrial queue with negative arrivals. Using the technique of Baccelli and Makowski (1985, 1989) we define a martingale with respect to an embedded process. Using this, an analysis of the stationary behavior of the queue is possible.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1628-7