Reliability assessment for a stochastic manufacturing system with reworking actions

Yi-Kuei Lin*, Ping Chen Chang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


This article evaluates the system reliability of a manufacturing system with reworking actions, where the system reliability is an essential indicator to determine whether the manufacturing system is capable or not. Based on the path concept, we transformed the manufacturing system into a stochastic-flow network in which the capacity of each machine is stochastic (i.e., multistate) due to failure, partial failure, and maintenance. In such a manufacturing network, the input flow (raw materials/WIP; work-in-process) processed by each machine might be defective and thus the output flow (WIP/products) would be less than the input amount. To analyze the different sources processed by the manufacturing network, we decomposed the network into one general processing path and several reworking paths by a graphical technique. Subsequently, an algorithm for the manufacturing network was proposed to generate the lower boundary vector which allows sufficient products to satisfy the demand. In terms of such a vector, the system reliability can be derived easily.

Original languageEnglish
Pages (from-to)382-390
Number of pages9
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Issue number3
StatePublished - 30 May 2013


  • Decomposition
  • Manufacturing network
  • Reliability assessment
  • Rework

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