A storage process with local time input

Petteri Mannersalo; Ilkka Norros; P. Salminen

doi:10.1023/B:QUES.0000027999.33013.38

A storage process with local time input

Petteri Mannersalo, Ilkka Norros, P. Salminen (Corresponding Author)

Åbo Akademi University

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
Number of pages	21
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

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10.1023/B:QUES.0000027999.33013.38

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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.",

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AU - Mannersalo, Petteri

AU - Norros, Ilkka

AU - Salminen, P.

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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

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