A coupled processor model with simultaneous arrivals and ordered service requirements

E.S. Badila, J.A.C. Resing

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Abstract

We study a coupled processor model with simultaneous arrivals. Under the assumption of ordered input, the Laplace-Stieltjes transform of the joint stationary amount of work in the system can be explicitly calculated by relating it to the amount of work in a parallel queueing system without coupling. This relation is first exploited for the system with two coupled queues. The method is then extended to higher dimensions. Keywords: Coupled processors; multivariate workload
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages12
Publication statusPublished - 2015

Publication series

NameReport Eurandom
Volume2015005
ISSN (Print)1389-2355

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Badila, E. S., & Resing, J. A. C. (2015). A coupled processor model with simultaneous arrivals and ordered service requirements. (Report Eurandom; Vol. 2015005). Eindhoven: Eurandom.