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20082019
most citedNumerical method for optimal stopping of piecewise deterministic Markov processes

26 citations · 58 across the 13 of their papers we have counts for

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11 papers · 1 filter

math.PR2019

A convex programming approach for discrete-time Markov decision processes under the expected total reward criterion

F. Dufour, Alexandre Genadot

In this work, we study discrete-time Markov decision processes (MDPs) under constraints with Borel state and action spaces and where all the performance functions have the same for…

math.PR2018★ 14 cited

Power-of--Choices with Memory: Fluid Limit and Optimality

Jonatha Anselmi, Francois Dufour

In multi-server distributed queueing systems, the access of stochastically arriving jobs to resources is often regulated by a dispatcher, also known as load balancer. A fundamental…

math.PR2016

Optimal strategies for impulse control of piecewise deterministic Markov processes

Benoîte de Saporta, François Dufour, Alizée Geeraert

This paper deals with the general discounted impulse control problem of a piecewise deterministic Markov process. We investigate a new family of epsilon-optimal strategies. The con…

math.PR2011

Numerical method for expectations of piecewise-determistic Markov processes

Adrien Brandejsky, Benoîte de Saporta, François Dufour

We present a numerical method to compute expectations of functionals of a piecewise-deterministic Markov process. We discuss time dependent functionals as well as deterministic tim…

math.PR2011★ 1 cited

Optimal stopping for the predictive maintenance of a structure subject to corrosion

Benoîte de Saporta, François Dufour, Huilong Zhang +1

We present a numerical method to compute the optimal maintenance time for a complex dynamic system applied to an example of maintenance of a metallic structure subject to corrosion…

math.PR2010

Numerical methods for the exit time of a piecewise-deterministic Markov process

Adrien Brandejsky, Benoîte de Saporta, François Dufour

We present a numerical method to compute the survival function and the moments of the exit time for a piecewise-deterministic Markov process (PDMP). Our approach is based on the qu…