Markov-modulated fluid flow model with server maintenance period

Jung Woo Baek, Ho Woo Lee, Soohan Ahn

Research output: Contribution to journalArticlepeer-review


We consider a Markov-modulated fluid flow model with server maintenance period. As soon as the fluid level reaches zero, the server begins a maintenance period of a random length. During the maintenance period, fluid arrives from outside depending on the state of the background Markov process and the level increases either vertically or linearly. This model can be applied to various real-world systems such as inventory systems and production systems. We first derive the distribution of the fluid level and the mean performance measures. Then, we present some numerical examples to show the effect of the maintenance time.

Original languageEnglish
Pages (from-to)395-421
Number of pages27
JournalJournal of the Korean Statistical Society
Issue number2
StatePublished - 1 Jun 2020


  • MMFF
  • Markov-modulated fluid flow
  • Server maintenance period


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