Queue Time Approximations for a Cluster Tool with Job Cascading

Kan Wu, Ning Zhao, Ka Man Lee

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)


Queueing models can be used to evaluate the performance of manufacturing systems. Due to the emergence of cluster tools in contemporary production systems, proper queueing models have to be derived to evaluate the performance of machines with complex configurations. Job cascading is a common structure among cluster tools. Because of the blocking and starvation effects among servers, queue time analysis for a cluster tool with job cascading is difficult in general. Based on the insight from the reduction method, we proposed the approximate model for the mean queue time of a cascading machine subject to breakdowns. The model is validated by simulation and performs well in the examined cases.
Original languageEnglish
Article number7283680
Pages (from-to)1200-1206
Number of pages7
JournalIEEE Transactions on Automation Science and Engineering
Issue number2
Publication statusPublished - 1 Apr 2016


  • Cascading
  • cluster tools
  • flexible manufacturing system
  • queueing theory

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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