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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