Multiserver queueing networks and the tandem queue model

Pierre Le Gall

International Journal of Stochastic Analysis, 1998, vol. 11, 1-14

Abstract:

Using a tandem queue model we evaluate the local endogenous (= internal) queueing delay in single server and multiserver queueing networks. The new concept of the apparent overall upstream queueing delay(as perceived by the downstream network) allows us to analyze the distribution of this local queue by interpolating between the distributions of the tandem queue (generated by a concentration tree ) and the isolated G / G / s queue . The interpolation coefficients depend on the proportion of premature departures , typically interfering in the upstream stage and leaving the considered path without being offered to the considered local queue. On the other hand, local exogenous arrivals (from outside the network) require the introduction of the interference delay concept. Finally, in the case of single server queueing networks, we stress the need to extend the capacities of the buffers , by considering the worst case scenario and by using an equivalent tandem queue model.

Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJSA/11/969183.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJSA/11/969183.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:969183

DOI: 10.1155/S1048953398000318

Access Statistics for this article

More articles in International Journal of Stochastic Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().