A storage process with local time input

Petteri Mannersalo; Ilkka Norros; Paavo Salminen

doi:10.1023/B:QUES.0000027999.33013.38

A storage process with local time input

Petteri Mannersalo
, Ilkka Norros
, Paavo Salminen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

4 Citations (Scopus)

Abstract

In this paper we introduce a storage process with singular continuous input. The input process is defined as the local time of a stationary reflecting Brownian motion with drift. Many basic charateristics of the process are computed explicitly, e.g., stationary distribution, distributions of the starting and ending time of on-going busy and idle periods. We also consider the multifractal spectrum of the input process and observe that it is independent of system parameters.

Original language	English
Pages (from-to)	557-577
Journal	Queueing Systems
Volume	46
Issue number	3-4
DOIs	https://doi.org/10.1023/B:QUES.0000027999.33013.38
Publication status	Published - 2004
MoE publication type	A1 Journal article-refereed

Keywords

data storage
storage
input

Access to Document

10.1023/B:QUES.0000027999.33013.38

Cite this

@article{002772e479c642b3bac43ad902dc9ccd,

title = "A storage process with local time input",

abstract = "In this paper we introduce a storage process with singular continuous input. The input process is defined as the local time of a stationary reflecting Brownian motion with drift. Many basic charateristics of the process are computed explicitly, e.g., stationary distribution, distributions of the starting and ending time of on-going busy and idle periods. We also consider the multifractal spectrum of the input process and observe that it is independent of system parameters.",

keywords = "data storage, storage, input",

author = "Petteri Mannersalo and Ilkka Norros and Paavo Salminen",

year = "2004",

doi = "10.1023/B:QUES.0000027999.33013.38",

language = "English",

volume = "46",

pages = "557--577",

journal = "Queueing Systems",

issn = "0257-0130",

publisher = "Springer",

number = "3-4",

}

TY - JOUR

T1 - A storage process with local time input

AU - Mannersalo, Petteri

AU - Norros, Ilkka

AU - Salminen, Paavo

PY - 2004

Y1 - 2004

N2 - In this paper we introduce a storage process with singular continuous input. The input process is defined as the local time of a stationary reflecting Brownian motion with drift. Many basic charateristics of the process are computed explicitly, e.g., stationary distribution, distributions of the starting and ending time of on-going busy and idle periods. We also consider the multifractal spectrum of the input process and observe that it is independent of system parameters.

AB - In this paper we introduce a storage process with singular continuous input. The input process is defined as the local time of a stationary reflecting Brownian motion with drift. Many basic charateristics of the process are computed explicitly, e.g., stationary distribution, distributions of the starting and ending time of on-going busy and idle periods. We also consider the multifractal spectrum of the input process and observe that it is independent of system parameters.

KW - data storage

KW - storage

KW - input

U2 - 10.1023/B:QUES.0000027999.33013.38

DO - 10.1023/B:QUES.0000027999.33013.38

M3 - Article

SN - 0257-0130

VL - 46

SP - 557

EP - 577

JO - Queueing Systems

JF - Queueing Systems

IS - 3-4

ER -

A storage process with local time input

Abstract

Keywords

Access to Document

Fingerprint

Cite this