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This paper presents a numerical method to calculate the value function for ageneral discounted impulse control problem for piecewise deterministic Markovprocesses. Our approach is based on a quantization technique for the underlyingMarkov chain defined by the post jump location and inter-arrival time.Convergence results are obtained and more importantly we are able to give aconvergence rate of the algorithm. The paper is illustrated by a numericalexample.

Numerical method for impulse control of Piecewise Deterministic Markov Processes