Transient and stationary distributions for fluid queues and input processes with a density

Alain Simonian, Jorma Virtamo

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Transient and stationary distributions of queue content for fluid queues whose continuous input process has a density with respect to time are studied. Results are obtained via a method primarily introduced by Benes, when considering input processes increasing by jumps at random times. The general formulas are applied to the queue where the input density varies as a stationary Ornstein-Uhlenbeck process. Such fluid queue models are useful in the field of telecommunications for dimensioning studies of packet multiplexers which are offered a superposition of variable bit rate video sources.
Original languageEnglish
Pages (from-to)1732-1739
Number of pages8
JournalSIAM Journal on Applied Mathematics
Issue number6
Publication statusPublished - 1991
MoE publication typeA1 Journal article-refereed


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