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Erschienen in:
2020 | OriginalPaper | Buchkapitel
6. The Total Cost Model: General Case
verfasst von : Alexey Piunovskiy, Yi Zhang
Erschienen in: Continuous-Time Markov Decision Processes
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Abstract
In this chapter, we continue to study the CTMDP model introduced in Sect. 1.1. One of the aims is to show that, after the essential extension of the notion of a strategy, the classes of Markov \(\pi \)-strategies and Markov Poisson-related strategies are still sufficient for solving constrained and unconstrained optimal control problems with total expected costs. In Sect. 6.4, we investigate the important strategies called mixtures. The realizability of different classes of strategies is discussed in Sect. 6.6.