A Storage Process with Local Time Input

  • Authors:

  • Petteri Mannersalo;Ilkka Norros;Paavo Salminen

  • Affiliations:

  • VTT Technical Research Centre of Finland, P.O. Box 1202, FIN-02044 VTT, Finland petteri.mannersalo@vtt.fi;VTT Technical Research Centre of Finland, P.O. Box 1202, FIN-02044 VTT, Finland ilkka.norros@vtt.fi;Åbo Akademi, Mathematical Department, FIN-20500 Åbo, Finland phsalmin@abo.fi

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 2004

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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.