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Low-complexity algorithm for restless bandits with imperfect observations

Keqin Liu (), Richard Weber () and Chengzhong Zhang ()
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Keqin Liu: Xi’an Jiaotong-Liverpool University
Richard Weber: University of Cambridge
Chengzhong Zhang: National Center for Applied Mathematics

Mathematical Methods of Operations Research, 2024, vol. 100, issue 2, No 3, 467-508

Abstract: Abstract We consider a class of restless bandit problems that finds a broad application area in reinforcement learning and stochastic optimization. We consider N independent discrete-time Markov processes, each of which had two possible states: 1 and 0 (‘good’ and ‘bad’). Only if a process is both in state 1 and observed to be so does reward accrue. The aim is to maximize the expected discounted sum of returns over the infinite horizon subject to a constraint that only M $$(

Keywords: Restless bandits; Continuous state space; Observation errors; Index policy; 90B36; 93E20; 93E35 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00186-024-00868-x

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