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Transient solution of an M/M/1 queue with catastrophes

✍ Scribed by B.Krishna Kumar; D. Arivudainambi

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 335 KB
Volume: 40
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00234-0

No coin nor oath required. For personal study only.

✦ Synopsis

A transient solution for the system size in the M/M/1 queueing model with the possibility of catastrophes at the service station is derived in the direct way. Asymptotic behavior of the probability of the server being idle and mean queue size are discussed. Steady-state probabilities are also obtained.

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