We consider a Poisson process that is modulated in such a way that the arrival rate at any time depends on the state of a semi-Markov process. This presents an interesting generalization of Poisson processes with important implications in real life applications. Our analysis concentrates on the...

Impulsive control consideres so called interventions meaning immediate change of the state of the system; between intervention, the continuous time jump Markov process is uncontrollable, with “natural” jump intensities. Multicriteria control problem for such model is considered, and the...