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Transient Analysis of the M/M/1 Queue

✍ Scribed by P. Leguesdron, J. Pellaumail, G. Rubino and B. Sericola

Book ID
111959055
Publisher
Applied Probability Trust
Year
1993
Tongue
English
Weight
740 KB
Volume
25
Category
Article
ISSN
0001-8678

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πŸ“œ SIMILAR VOLUMES

An application of the reflection princip
An application of the reflection principle to the transient analysis of the M/M/1 queue
✍ Don Towsley πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 282 KB πŸ‘ 1 views

This paper applies the well-known reflection principle for random walks to the analysis of the transient MIMI1 queueing system. A closed-form solution is obtained for the probability that exactly i arrivals and j departures occur over an interval of length t in an MIMI1 queueing system that contains

Transient solution of an M/M/1 queue wit
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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 obtain

A Sample Path Analysis of the M/M/1 Queu
A Sample Path Analysis of the M/M/1 Queue
✍ FranΓ§ois Baccelli and William A. Massey πŸ“‚ Article πŸ“… 1989 πŸ› Applied Probability Trust 🌐 English βš– 426 KB