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**The optimality of balancing workloads in certain types of flexible manufacturing systems.**
*(English)*
Zbl 0578.90035

Symmetric mathematical programming is used to analyze the optimality of balancing workloads to maximize the expected production in a single- server closed queuing network model of a flexible manufacturing system (FMS). In particular, using generalized concavity we prove that, even though the production function is not concave, balancing workloads maximizes the expected production in certain types of m-machine FMS’s with n parts in the system. Our results are compared and contrasted with previous models of production systems.

### MSC:

90B30 | Production models |

90B22 | Queues and service in operations research |

90C90 | Applications of mathematical programming |

### Keywords:

production planning; Symmetric mathematical programming; optimality of balancing workloads; single-server closed queuing network; flexible manufacturing system
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\textit{K. E. Stecke} and \textit{T. L. Morin}, Eur. J. Oper. Res. 20, 68--82 (1985; Zbl 0578.90035)

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