Article | REF: AG3544 V1

Dynamic Behavior of Discrete Events Systems in Dioid Algebra

Author: Samir HAMACI

Publication date: January 10, 2018, Review date: April 26, 2021

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3. Performance evaluation

In a similar way to GET, GETG performance evaluation involves calculating the graph cycle time and the crossing frequency associated with each transition.

For example, for a production system, these performances correspond to the calculation of cycle time (the average time between two parts produced by a machine) and cycle frequency (the number of parts produced per unit of time, by a machine).

While the calculation of these performances is feasible for GET, the problem is still open for GETG. As an alternative, the use of (min, +) algebra would allow us to obtain approximate results, using approximate methods.

The literature review carried out in this field has shown that there is no general analytical method for evaluating these performances directly from GETGs. Existing...

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