Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 317-333 |
| Number of pages | 17 |
| Journal | Queueing Systems |
| Volume | 39 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2001 |
| MoE publication type | A1 Journal article-refereed |
Cite this
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On busy periods of the unbounded brownian storage. / Salminen, Paavo; Norros, Ilkka.
In: Queueing Systems, Vol. 39, No. 4, 2001, p. 317-333.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - On busy periods of the unbounded brownian storage
AU - Salminen, Paavo
AU - Norros, Ilkka
PY - 2001
Y1 - 2001
N2 - A stationary storage process with Brownian input and constant service rate is studied. Explicit formulae for quantities related to busy periods (excursions) are derived. In particular, we compute the distributions of the occupation times the process spends above and below, respectively, the present level during the on-going busy period, and make the surprising observation that these occupation times are identically distributed.
AB - A stationary storage process with Brownian input and constant service rate is studied. Explicit formulae for quantities related to busy periods (excursions) are derived. In particular, we compute the distributions of the occupation times the process spends above and below, respectively, the present level during the on-going busy period, and make the surprising observation that these occupation times are identically distributed.
U2 - 10.1023/A:1013953409012
DO - 10.1023/A:1013953409012
M3 - Article
VL - 39
SP - 317
EP - 333
JO - Queueing Systems
JF - Queueing Systems
SN - 0257-0130
IS - 4
ER -