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Publication Detailed Description
Journal Title
Acta Scientiae et Intellectus
Year (definitive publication)
2018
Language
English
Country
Azerbaijan
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Abstract
In the theory and applications of queuing systems, transient probabilities play a key role. Often, due to the difficulty of their calculation they are replaced by the stationary probabilities. In the case of M|G|∞ systems, those calculations are much friendlier than usual. We present in this work formulas for the transient probabilities of the M|M|∞ system, where are considered service times with exponential distribution, showing that it is also possible to calculate them with initial conditions different from those usually considered.
Acknowledgements
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Keywords
Transient probabilities,M|M|∞,Busy period,Exponential distribution
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Computer and Information Sciences - Natural Sciences
Funding Records
| Funding Reference | Funding Entity |
|---|---|
| UID/GES/00315/2013 | Fundação para a Ciência e a Tecnologia |
| UID/MULTI/0446/2013 | Fundação para a Ciência e a Tecnologia |
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