Abstract : In this paper, we show that the expected workload and the expected waiting time in (max,+) linear system under a single input sequence is multimodular. We use this result to construct the optimal deterministic admission control in the (max,+) system under rate constraints.
https://hal.inria.fr/inria-00099096
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Submitted on : Tuesday, September 26, 2006 - 8:50:55 AM Last modification on : Friday, February 26, 2021 - 3:28:08 PM
Eitan Altman, Bruno Gaujal, Arie Hordijk. Admission Control in Stochastic Event Graphs. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2000, 45 (5), pp.854-867. ⟨inria-00099096⟩