Large deviations for tandem queueing systems. (1994)

• Record Type: Journal Article
• Authors: Dobrushin, Roland L.; Pechersky, Eugene A.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 7:Number 3(1994)
• Page Start: 301
• Page End: 330
• Publication Date: 1994
• Subjects: delay -- large deviations principle -- processes with independent increments -- networks -- tandem queueing system; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953394000274
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The crude asymptotics of the large delay probability in a tandem queueing system is considered. The main result states that one of the two channels in the tandem system defines the crude asymptotics. The constant that determines the crude asymptotics is given. The results obtained are based on the large deviation principle for random processes with independent increments on an infinite interval recently established by the authors.