Skip to main content
×
Home
    • Aa
    • Aa
  • Probability in the Engineering and Informational Sciences, Volume 13, Issue 4
  • October 1999, pp. 407-427

FLUID QUEUES AND MOUNTAIN PROCESSES

  • O. J. Boxma (a1), D. Perry (a2) and F. A. van der Duyn Schouten (a3)
  • Published online: 01 October 1999
Abstract

This paper is devoted to the analysis of a fluid queue with a buffer content that varies linearly during periods that are governed by a three-state semi-Markov process. Two cases are being distinguished: (i) two upward slopes and one downward slope, and (ii) one upward slope and two downward slopes. In both cases, at least one of the period distributions is allowed to be completely general. We obtain exact results for the buffer content distribution, the busy period distribution, and the distribution of the maximal buffer content during a busy period. The results are obtained by establishing relations between the fluid queues and ordinary queues with instantaneous input and by using level crossing theory.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Probability in the Engineering and Informational Sciences
  • ISSN: 0269-9648
  • EISSN: 1469-8951
  • URL: /core/journals/probability-in-the-engineering-and-informational-sciences
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×