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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
title = "A coupled processor model with simultaneous arrivals and ordered service requirements",
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",
Onderzoeksoutput: Boek/rapport › Rapport › Academic
TY - BOOK
T1 - A coupled processor model with simultaneous arrivals and ordered service requirements
AU - Badila, E.S.
AU - Resing, J.A.C.
PY - 2015
Y1 - 2015
N2 - 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
AB - 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
M3 - Report
T3 - Report Eurandom
BT - A coupled processor model with simultaneous arrivals and ordered service requirements