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In this paper, we propose an extension of the forward improvement iterationalgorithm, originally introduced in Irle (2006) and recently reconsidered inMiclo and Villeneuve (2021). The main new ingredient is a flexible windowparameter describing the look-ahead distance in the improvement step. Weconsider the framework of a Markovian optimal stopping problem in discrete timewith random discounting and infinite time horizon. We prove convergence andshow that the additional flexibility may significantly reduce the runtime.

Flexible forward improvement iteration for infinite time horizon Markovian optimal stopping problems