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

1 Citation (Scopus)

Abstract

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
Volume46
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Fluid Queue
Occupation Time
Finite Buffer
Fluids
Communication
M/G/1 Queue
Renewal
Performance Measures
Workload
Jump
Limiting
Transform
Target
Finite buffer
Queue

Keywords

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

Cite this

Starreveld, N.J. ; Bekker, R. ; Mandjes, M. / Occupation times for the finite buffer fluid queue with phase-type ON-times. In: Operations Research Letters. 2018 ; Vol. 46, No. 1. pp. 27-32.
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Occupation times for the finite buffer fluid queue with phase-type ON-times. / Starreveld, N.J.; Bekker, R.; Mandjes, M.

In: Operations Research Letters, Vol. 46, No. 1, 01.01.2018, p. 27-32.

Research output: Contribution to journalArticleAcademicpeer-review

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