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Continuous-time multi-armed bandits under random intervention times

Noba, Kei et al.
arXiv (All) · Papers
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93e20optimization-and-controlprobability
This paper examines multi-armed bandits with $J$ independent arms in which actions are taken at random discrete times. When an arm is operated, it must remain active for a renewal inter-arrival time. For arms evolving as a Lévy process, we provide an explicit characterization of the Gittins index, k
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