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• W1988586788 abstract "Abstract We perform an analysis of the transient delay in a discrete-time FIFO buffer with batch arrivals. As transient delay is an ambiguous concept, we first discuss different possible definitions of the term (delay of the kth customer, delay of a customer arriving at time t, etc.). In this paper, we focus on the analysis of the delay of a customer arriving in slot t, also sometimes called virtual delay in single-arrival systems. It turns out that the modeling in batch-arrival systems is more intricate. In analysis, we relate transient delay to transient unfinished work and characterize the latter. Some time-dependent as well as limiting steady-state delay measures are calculated. We also study a variation that is related to active probing measurements. A substantial part of the article finally focuses on some fundamental differences between alternative definitions of transient delay." @default.
• W1988586788 created "2016-06-24" @default.
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• W1988586788 date "2014-08-01" @default.
• W1988586788 modified "2023-09-24" @default.
• W1988586788 title "Analysis of steady-state and transient delay in discrete-time single-arrival and batch-arrival systems" @default.
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• W1988586788 doi "https://doi.org/10.1016/j.amc.2014.04.071" @default.
• W1988586788 hasPublicationYear "2014" @default.
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