Independent Inter-Departure Times in M/G/1/N Queues

Independent Inter-Departure Times in M/G/1/N Queues

This paper extends the results of Finch (1959) and King (1971) on the stationary departure process of the queueing system M/G1/N by establishing, among others, the existence of the systems other than M/D/1/1/ and M/M/1/∞ with two successive inter-departure times independent.

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Veröffentlicht in:Journal of the Royal Statistical Society. Series B, Methodological Methodological, 1975-01, Vol.37 (2), p.259-263
Hauptverfasser: Daley, D. J., Shanbhag, D. N.
Format: Artikel
Sprache:eng
Schlagworte:
characterization
departure process
independence
Markov chains
single‐server queueing system
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Beschreibung
Zusammenfassung:This paper extends the results of Finch (1959) and King (1971) on the stationary departure process of the queueing system M/G1/N by establishing, among others, the existence of the systems other than M/D/1/1/ and M/M/1/∞ with two successive inter-departure times independent.
ISSN:0035-9246
1369-7412
2517-6161
1467-9868
DOI:10.1111/j.2517-6161.1975.tb01541.x