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Time-varying many-server finite-queues in tandem: Comparing blocking mechanisms via fluid models

Noa Zychlinski, Petar Momčilović, Avishai Mandelbaum

Research output: Contribution to journalArticlepeer-review

Abstract

This paper focuses on the mechanism of Blocking Before Service (BBS), in time-varying many-server queues in tandem. BBS arises in telecommunication networks, production lines and healthcare systems. We model a stochastic tandem network under BBS and develop its corresponding fluid limit, which includes reflection due to jobs lost. Comparing our fluid model against simulation shows that the model is accurate and effective. This gives rise to design/operational insights regarding network throughput, under both BBS and BAS (Blocking After Service).

Original languageEnglish
Pages (from-to)492-499
Number of pages8
JournalOperations Research Letters
Volume46
Issue number5
DOIs
StatePublished - Sep 2018

Keywords

  • Blocking Before Service (BBS)
  • Communication blocking
  • Fluid models
  • Functional strong law of large numbers
  • Many-server flow lines with blocking
  • Time-varying queueing networks

All Science Journal Classification (ASJC) codes

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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