Occupation times for the finite buffer fluid queue with phase-type ON-times

N.J. Starreveld, R. Bekker, M. Mandjes

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)


In this short communication we study a fluid queue with a finite buffer. The performance measure we are interested in is the occupation time over a finite time period, i.e., the fraction of time the workload process is below some fixed target level. Using an alternating renewal sequence, we determine the double transform of the occupation time; the occupation time for the finite buffer M/G/1 queue with phase-type jumps follows as a limiting case.

Original languageEnglish
Pages (from-to)27-32
Number of pages6
JournalOperations Research Letters
Issue number1
Publication statusPublished - 1 Jan 2018


  • Doubly reflected process
  • Finite buffer queue
  • Fluid model
  • Occupation time
  • Phase-type distribution


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