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**Closed analytical formulae for evaluating flexible manufacturing system performance measures.**
*(English)*
Zbl 0602.90065

Using the Z-transform method, closed-form analytical expressions for evaluating the performance of flexible manufacturing systems (FMS) are derived. The formulae are based on the operational analysis framework and allow the dependence of the performance measures on the main operational parameters to be clarified. Balanced, and nearly or completely unbalanced systems, are considered.

In more complex cases, to improve the efficiency of computation, an algorithm is introduced, which decomposes the system into balanced and unbalanced parts, and allows the formulae already derived for these simple cases to be utilized. The intermediate results are expressed in the form of finite discrete sequences. From the convolution of these sequences, the behaviour of the whole system is obtained.

In more complex cases, to improve the efficiency of computation, an algorithm is introduced, which decomposes the system into balanced and unbalanced parts, and allows the formulae already derived for these simple cases to be utilized. The intermediate results are expressed in the form of finite discrete sequences. From the convolution of these sequences, the behaviour of the whole system is obtained.

### MSC:

90B25 | Reliability, availability, maintenance, inspection in operations research |

### Keywords:

system performance measures; Z-transform method; closed-form analytical expressions; flexible manufacturing systems
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\textit{B. Maione} et al., Int. J. Prod. Res. 24, 583--592 (1986; Zbl 0602.90065)

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### References:

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[9] | SURI R., Information Analysis Centre Control Science and Technology, Eighth Triennial World Congress (1981) |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.