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Towards Q-learning the Whittle Index for Restless Bandits
2019 Australian & New Zealand Control Conference (ANZCC), 2019We consider the multi-armed restless bandit problem (RMABP) with an infinite horizon average cost objective. Each arm of the RMABP is associated with a Markov process that operates in two modes: active and passive. At each time slot a controller needs to designate a subset of the arms to be active, of which the associated processes will evolve ...
Jing Fu 0001 +3 more
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Conditions for indexability of restless bandits and an algorithm to compute Whittle index
Advances in Applied Probability, 2022AbstractRestless bandits are a class of sequential resource allocation problems concerned with allocating one or more resources among several alternative processes where the evolution of the processes depends on the resources allocated to them. Such models capture the fundamental trade-offs between exploration and exploitation.
Nima Akbarzadeh, Aditya Mahajan
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Indexability and whittle index for restless bandit problems involving reset processes
IEEE Conference on Decision and Control and European Control Conference, 2011We consider a class of restless multi-armed bandit (RMAB) problems, in which the active action resets the stochastic evolution of the system. We obtain the Whittle index in closed-form, showing that it induces a policy that is equivalent to the myopic policy, and that it is optimal for stochastically identical arms.
Keqin Liu +2 more
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Advances in Applied Probability, 2023
Abstract This note corrects an error in the formula to obtain the Whittle index using the Sherman–Morrison formula in Akbarzadeh and Mahajan (2022). Also, some other minor typos are highlighted.
Nima Akbarzadeh, Aditya Mahajan
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Abstract This note corrects an error in the formula to obtain the Whittle index using the Sherman–Morrison formula in Akbarzadeh and Mahajan (2022). Also, some other minor typos are highlighted.
Nima Akbarzadeh, Aditya Mahajan
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Restless bandits: indexability, computation of whittle index and learning
2022Les bandits agités sont une classe de problèmes d'allocation séquentielle de ressources concernés par l'allocation d'une ou plusieurs ressources entre plusieurs processus alternatifs où l'évolution des processus est markovienne et dépend des ressources qui leur sont allouées.
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Model-Based Learning of Whittle Index
ACM SIGMETRICS Performance Evaluation ReviewRestless multi-armed bandits (RMABs) can model several resource allocation problems. To cite only a few applications, RMABs are used to solve optimization problems related to stochastic scheduling in a queue opportunistic scheduling machine maintenance [5], healthcare or recommendation systems. A RMAB is composed of N independent arms,
Joël Charles-Rebuffé +2 more
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Optimality of myopic scheduling and whittle indexability for energy harvesting sensors
2012 46th Annual Conference on Information Sciences and Systems (CISS), 2012Consider a single-hop wireless sensor network, where a central node (or fusion center, FC) collects data from a set of M energy harvesting (EH)-capable sensors (or nodes). In each time-slot only a subset of K ≤ M nodes can be scheduled by the FC for transmission over K orthogonal communication resources (e.g., frequencies).
Fabio Iannello +2 more
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Partially observable restless bandits with restarts: indexability and computation of Whittle index
2022 IEEE 61st Conference on Decision and Control (CDC), 2022Nima Akbarzadeh, Aditya Mahajan
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Whittle index based Q-learning for restless bandits with average reward
Automatica, 2022Konstantin Avrachenkov, Vivek Borkar
exaly
Robustness of Whittle Index Policy to Model Approximation
SSRN Electronic Journal, 2022Amit Sinha, Aditya Mahajan
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