A Two-Fold Tandem Net with Deterministic Links and Source Interference

Michael Kaplan
Additional contact information
Michael Kaplan: INRS-Télécommunications, Verdun, Quebec

Operations Research, 1980, vol. 28, issue 3-part-i, 512-526

Abstract: The problem is to quantify the effect of flow interference on waiting-times in a two-fold tandem network of queues. Specifically, there are two deterministic servers ( I 0 , I 1 ) and two Poisson sources ( S 0 , S 1 ). So tasks are submitted first to I o and then to I 1 ; S 1 tasks proceed directly to I 1 . The two flows thus interfere at I 1 . Service is in order-of-arrival at both servers, and there are no defections at either server. In the case that I 1 is no faster than I 0 , we compute the following quantities: (1) the network utilization factor; (2) the stationary moment-generating function of virtual waiting-time in I 1 ; (3) the joint stationary moment-generating function for S 0 waiting-time at each of I 0 , I 1 . The problem in the complementary case is still unsolved; a relevant difference-differential equation is presented, and an approximation technique is described.

Date: 1980
References: Add references at CitEc
Citations:

Downloads: (external link)
http://dx.doi.org/10.1287/opre.28.3.512 (application/pdf)

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:inm:oropre:v:28:y:1980:i:3-part-i:p:512-526

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().