### 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 language | English (US) |
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Pages (from-to) | 1856-1857 |

Number of pages | 2 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

State | Published - Dec 1 1988 |

Externally published | Yes |

Event | Proceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA Duration: Dec 7 1988 → Dec 9 1988 |

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

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## Cite this

Soner, H. M., Lehoczky, J. P., Sethi, S. P., & Taksar, M. (1988). Asymptotic analysis of hierarchical control of manufacturing systems.

*Proceedings of the IEEE Conference on Decision and Control*, 1856-1857.