On the probability that the kth customer finds an M/M/1 queue empty
A result relating the probability that k th customer finds the system empty to the distribution of the number of customers served in a busy period, for an M / M /1 queue, has been obtained. This relationship is similar to the relationship between the probability that the queue is empty at time t and...
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| Veröffentlicht in: | Advances in applied probability 1992-03, Vol.24 (1), p.238-239 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | A result relating the probability that
k
th customer finds the system empty to the distribution of the number of customers served in a busy period, for an
M
/
M
/1 queue, has been obtained. This relationship is similar to the relationship between the probability that the queue is empty at time
t
and the distribution of the length of the busy period. |
|---|---|
| ISSN: | 0001-8678 1475-6064 |
| DOI: | 10.1017/S0001867800024307 |