Failure-prone production systems with uncertain demand

James R. Perkins, R. Srikant

Research output: Contribution to journalArticle


We consider a failure-prone manufacturing system with bursty demand arrivals. We prove that the hedging-point policy is optimal for this problem and provide analytical expressions to compute the hedging point. This allows us to compare our exact results to simpler approximations. We also show that our result leads to the solution for the constant demand rate problem, under an appropriate scaling of the demand process. We also provide a necessary and sufficient condition under which the just-in-time (JIT) policy is optimal for the case of linear, absolute value instantaneous cost.

Original languageEnglish (US)
Pages (from-to)441-449
Number of pages9
JournalIEEE Transactions on Automatic Control
Issue number3
StatePublished - Mar 1 2001


  • Diffusion approximations
  • Large deviations
  • Manufacturing
  • Scheduling

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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