Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1979 · 1.5K citations · 29 references
Mathematical ProgrammingDynamic Allocation IndicesEngineeringStochastic GameBandit ProcessesGame TheoryOnline AlgorithmSearch ProblemsProbability TheorySequential Decision MakingCombinatorial OptimizationDecision TheoryExploration V ExploitationOperations Research
Summary The paper aims to give a unified account of the central concepts in recent work on bandit processes and dynamic allocation indices; to show how these reduce some previously intractable problems to the problem of calculating such indices; and to describe how these calculations may be carried out. Applications to stochastic scheduling, sequential clinical trials and a class of search problems are discussed.
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Applied Statistical Decision Theory
D. V. Lindley, Howard Raiffa, Robert Schlaifer · Econometrica · 1962 · 2.2K citations
Discounted Dynamic Programming
David Blackwell · The Annals of Mathematical Statistics · 1965 · 945 citations · Full text
Great Expectations: The Theory of Optimal Stopping.
Michael Orkin, Y. S. Chow, Herbert Robbins et al. · Journal of the American Statistical Association · 1975 · 711 citations