18 citations · 25 across the 4 of their papers we have counts for
3 papers · 1 filter
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…
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…
Piecewise Affine Dynamical Models of Timed Petri Nets -- Application to Emergency Call Centers
Xavier Allamigeon, Marin Boyet, Stéphane Gaubert
We study timed Petri nets, with preselection and priority routing. We represent the behavior of these systems by piecewise affine dynamical systems. We use tools from the theory of…