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math.OC2022
Computing Transience Bounds of Emergency Call Centers: a Hierarchical Timed Petri Net Approach
Xavier Allamigeon, Marin Boyet, Stephane Gaubert
A fundamental issue in the analysis of emergency call centers is to estimate the time needed to return to a congestion-free regime after an unusual event with a massive arrival of…
math.OC2020
A convex programming approach to solve posynomial systems
Marianne Akian, Xavier Allamigeon, Marin Boyet +1
We exhibit a class of classical or tropical posynomial systems which can be solved by reduction to linear or convex programming problems. This relies on a notion of colorful vector…