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On a reliability problem by stochastic control methods
Authors:Dariusz Gatarek
Affiliation:Systems Research Institute, Warszawa, Newelska 6, Poland
Abstract:In the paper a problem of renewal of a nonhomogeneous Markov chain with incomplete information given by a point process is treated. A long run average cost is studied. The article applies the ‘crossing level’ method given by Davis. An example of exponentially distributed time-to-failure is given.
Keywords:Reliability   Renewal theory   Impulsive control   Partially observed stopping
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