most citedPerformance evaluation of an emergency call center: tropical polynomial systems applied to timed Petri nets

22 citations

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2 papers

math.OC2016★ 4 cited

Stationary solutions of discrete and continuous Petri nets with priorities

Xavier Allamigeon, Vianney Boeuf, Stéphane Gaubert

We study a continuous dynamics for a class of Petri nets which allows the routing at non-free choice places to be determined by priorities rules. We show that this dynamics can be…

math.OC2015★ 22 cited

Performance evaluation of an emergency call center: tropical polynomial systems applied to timed Petri nets

Xavier Allamigeon, Vianney Bœuf, Stéphane Gaubert

We analyze a timed Petri net model of an emergency call center which processes calls with different levels of priority. The counter variables of the Petri net represent the cumulat…