Asymptotic analysis of manufacturing systems

Research output: Contribution to journalConference articlepeer-review


A manufacturing facility is considered in which there are m identical machines that are equally capable of producing n distinct part types. The production must be scheduled to meet a deterministic demand. However, the machines are subject to a Markovian breakdown and repair process. The goal of this study is to simplify the problem by using the hierarchical structure that is inherent in this model. Thus, it is assumed that the time scale in which the machine breakdown and repair process is occurring is much shorter than the time scale in which the costs are being evaluated. That is, both the holding cost function and the discount rate are small, and the demand is nearly constant. A general limiting procedure is presented for manufacturing systems in the presence of an hierarchy between the time scales of certain events. This procedure is described in an example with two parts and two machines. Also, a convergence rate is obtained for a simpler problem.

Original languageEnglish (US)
Pages (from-to)568-572
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1990
Externally publishedYes
EventProceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA
Duration: Dec 5 1990Dec 7 1990

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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