Exhaustive fluid vacation model with Markov modulated load

Zsolt Saffer, M. Telek

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper we analyze stable fluid vacation models with exhaustive discipline, in which the fluid source is modulated by a background continuous-time Markov chain and the fluid is removed at constant rate during the service period. Due to the continuous nature of the fluid the state space of the model becomes continuous, which is the major novelty and challenge of the analysis. We adapt the descendant set approach used in polling models to the fluid vacation model. We provide steady-state vector Laplace Transform and mean of the fluid level at arbitrary epoch. First we consider the case when the fluid input rate is less than the fluid service rate during service and later we study the case when the fluid input rate is larger than the fluid service rate in some states of the model.

Original languageEnglish
Pages (from-to)19-35
Number of pages17
JournalPerformance Evaluation
Volume98
DOIs
Publication statusPublished - Apr 1 2016

Keywords

  • Exhaustive discipline
  • Markov fluid queue
  • Service vacation

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture
  • Software
  • Modelling and Simulation

Fingerprint Dive into the research topics of 'Exhaustive fluid vacation model with Markov modulated load'. Together they form a unique fingerprint.

  • Cite this