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A bisection/successive approximation method for computing Gittins indices

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Abstract

An iterative method, combining bisections and successive approximations, is proposed for computing intervals containing the Gittins indices. The intervals could be of a specified maximum length, or be merely disjoint. The first option gives approximations of the Gittins indices. The second option gives a ranking of indices, which in many applications is sufficient.

Zusammenfassung

Es wird ein iteratives Verfahren von Schranken von Gittins-Indizes vorgestellt. Der Algorithmus besteht aus Bisektion und einigen Schritten sukzessiver Approximation.

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Supported by the Royal Norwegian Council for Industrial and Scientific Research and by the National Science Foundation.

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Ben-Israel, A., Flåm, S.D. A bisection/successive approximation method for computing Gittins indices. ZOR - Methods and Models of Operations Research 34, 411–422 (1990). https://doi.org/10.1007/BF01421548

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  • DOI: https://doi.org/10.1007/BF01421548

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