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**A hierarchical approach to solving machine grouping and loading problems of flexible manufacturing systems.**
*(English)*
Zbl 0597.90041

This paper ties some previous results together by suggesting a hierarchical approach to solve actual grouping and loading problems. Both problems are first defined at an aggregated level of detail and in the context of a queueing network model. At this level, much information is suppressed. However, the robustness of the model allows the application of the application of the obtained theoretical results to a lower level in the hierarchy that considers all details of these problems. In addition, results obtained using the aggregate model can be used as input to the detailed models. Here, the grouping and loading problems are formulated in all detail as nonlinear integer programs, using all available and required information. The use of these models to solve realistic machine grouping and loading problems is then described. Finally, future research needs are suggested.

### MSC:

90B30 | Production models |

90B22 | Queues and service in operations research |

90C90 | Applications of mathematical programming |

90C10 | Integer programming |

90C30 | Nonlinear programming |

### Keywords:

planning; flexible manufacturing systems; resource allocation; grouping; loading; queueing network; nonlinear integer programs### References:

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