Whittle index

E695660

The Whittle index is a heuristic index policy in stochastic control and multi-armed bandit problems that provides a tractable way to make near-optimal sequential decisions under uncertainty.

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Predicate Object
instanceOf heuristic
index policy
policy for restless multi-armed bandits
solution concept in stochastic control
appliesTo restless bandit with subsidy for passivity formulation
approximationType asymptotically optimal in some regimes
characteristic computationally tractable
decentralized decision rule
heuristically near-optimal
indexability-based
state-dependent priority index
comparedTo Gittins index NERFINISHED
decisionRule activate arms with largest indices
definedFor each arm in a restless bandit
each state of an arm
differsFrom Gittins index for classic bandits
field applied probability
control theory
operations research
reinforcement learning
stochastic processes
generalizes index policies to restless bandits
hasLimitation computation can be complex for high-dimensional states
may be suboptimal when indexability fails
introducedBy Peter Whittle NERFINISHED
introducedIn restless bandit literature of the 1980s
namedAfter Peter Whittle NERFINISHED
optimizes discounted reward approximately
long-run average reward approximately
requires indexability condition
solution of single-project dynamic program
usedFor large-scale dynamic allocation problems
near-optimal sequential decision making
usedIn communication networks
dynamic resource allocation
dynamic spectrum allocation
healthcare resource allocation
inventory control
machine maintenance problems
multi-armed bandit problems
operations research
opportunistic spectrum access
queueing systems
restless bandit problems
scheduling problems
sensor scheduling
sequential decision making under uncertainty
stochastic control

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Peter Whittle knownFor Whittle index