A storage process with local time input

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

Research output: Contribution to journalArticleScientificpeer-review

3 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 languageEnglish
Pages (from-to)557 - 577
Number of pages21
JournalQueueing Systems
Volume46
Issue number3-4
DOIs
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed

Keywords

  • data storage
  • storage
  • input

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  • Cite this

    Mannersalo, P., Norros, I., & Salminen, P. (2004). A storage process with local time input. Queueing Systems, 46(3-4), 557 - 577. https://doi.org/10.1023/B:QUES.0000027999.33013.38