Asymptotic analysis of hierarchical control of manufacturing systems

H. M. Soner, J. P. Lehoczky, S. P. Sethi, M. Taksar

Research output: Contribution to journalConference article

Abstract

An asymptotic analysis of a hierarchical manufacturing system with machines subject to breakdown and repair is presented. The machine fluctuations are much faster than the accumulation and discounting of costs, and this gives rise to a limiting problem in which the stochastic machine availability is replaced by the equilibrium mean availability. The value function for the original problem converges to the value function of the limiting problem. The limiting problem is computationally tractable and sometimes has a closed-form solution.

Original languageEnglish (US)
Pages (from-to)1856-1857
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1988
Externally publishedYes
EventProceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA
Duration: Dec 7 1988Dec 9 1988

All Science Journal Classification (ASJC) codes

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

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