A bandit problem consisting of a sequence of n choices ( n →∞) from a number of infinitely many Bernoulli arms is considered. The parameters of Bernoulli arms are independent and identically distributed random variables from a common distribution F on the interval [0,1] and F is continuous...
There are many reasons to care about bandit problems. Decision-making with uncertainty is a challenge we all face, and bandits provide a simple model of this dilemma. Bandit problems also have practical applications. We already mentioned clinical trial design, which researchers have used to ...
(arms). We introduce the classical theory for multi-armed bandit processes in Section 6.1, and consider open bandit processes in which infinitely many arms are allowed in Section 6.2. An extension to generalized open bandit processes is given in Section 6.3. Finally, a concise account for ...
Applicationsto stochastic schedulings,equentialclinicaltrialsand a class of searchproblemsare discussed. Keywords:BANDITPROCESSES;DYNAMICALLOCATIONINDICES; TWO-ARMEDBANDITPROBLEM; MARKOVDECISIONPROCESSESO; PTIMALRESOURCEALLOCATIONS; EQUENTIALRANDOM SAMPLING;CHEMICALRESEARCH;CLINICALTRIALS;SEARCH A schedulinpgroblem ...
A note on infinite-armed Bernoulli bandit problems with generalized beta prior distributionsDynamic allocation of Bernoulli processesk-failure strategym-run strategyN-learning strategynon-recallingm-run strategysequential experimentationA bandit problem with infinitely many Bernoulli arms is considered. The ...