Minimum Flow Time in a Tandem Two-Server Fluid Network

Yossef Luzon, Eugene Khmelnitsky, Yariv Marmor

Research output: Contribution to journalArticlepeer-review


We consider a tandem two-server fluid network with two fluid types. Each server in the network has two buffers, one for each fluid, and the capacity of each server can be shared among the fluids. An initial amount of fluids is to be processed by both servers and drained through the system. We determine the processing rates for which the servers' capacity is optimally shared, with the objective of minimizing the total flow time. Three cases of the optimal strategy are discussed.

Original languageEnglish
Pages (from-to)3540-3545
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number7
StatePublished - Jul 2017


  • Cμ-Rule
  • multiclass fluid network
  • optimal control
  • the maximum principle
  • threshold policy


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