Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/5660
Author(s): | Ferreira, Manuel Alberto M. Andrade, Marina |
Date: | 2011 |
Title: | The M/G/∞ queue busy period distribution exponentiality |
Volume: | 4 |
Number: | 3 |
Pages: | 249-260 |
Reference: | Ferreira, M. A. M., & Andrade, M. (2011). The M/G/∞ queue busy period distribution exponentiality. Aplimat - Journal of Applied Mathematics, 4(3), 249-260. http://dx.doi.org/10.1155/4185 |
ISSN: | 1337-6365 |
DOI (Digital Object Identifier): | 10.1155/4185 |
Keywords: | M/G/∞ queue Busy period Exponential distribution Power function distribution Distribuição de Pareto -- Pareto Distribution |
Abstract: | Infinite servers queuing systems are often used to solve a large number of practical problems, namely in Engineering, Biology, Management, Finance and Sociology. The study of the M/G/∞ systems busy period is very important. Yet it is a very difficult task. This paper presents a service time distributions collection for which the length of the busy period is almost exponential. It is also shown that in heavy-traffic conditions, for a certain class of service time distributions, the length of the busy period of the M/G/∞ systems is approximately exponentially distributed. Thus, in all these cases, the study of this busy period is much simpler.It is also exemplified, with the power function and the Pareto service distributions, that it is possible to have in some particular situations an approximately exponential behaviour for the M/G/∞ queue busy period length. |
Peerreviewed: | Sim |
Access type: | Open Access |
Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
article_hdl5660.pdf | 372,96 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.