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Learning Automaton for Finite Semi-Markov Decision Processes

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Mathematical Learning Models — Theory and Algorithms

Part of the book series: Lecture Notes in Statistics ((LNS,volume 20))

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Abstract

A finite semi-Markov decision process is studied to maximize the expected average reward. The semi-Markov kernel of the process depends on an unknown parameter taking values in a subset [a, b] of ℝS. A controller modelled as a learning automaton updates sequentially the probabilities of generating decisions based on the observed decisions, states, and jump times. Convergence results are stated in the form of theorems and some examples are given.

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References

  • El-Fattah, Y.M. (1981) Gradient approach for recursive estimation and control in finite Markon chains. Adv. Appl. Probability, 13, 778–803.

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© 1983 Springer-Verlag New York Inc.

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El-Fattah, Y.M. (1983). Learning Automaton for Finite Semi-Markov Decision Processes. In: Herkenrath, U., Kalin, D., Vogel, W. (eds) Mathematical Learning Models — Theory and Algorithms. Lecture Notes in Statistics, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5612-0_4

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  • DOI: https://doi.org/10.1007/978-1-4612-5612-0_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90913-4

  • Online ISBN: 978-1-4612-5612-0

  • eBook Packages: Springer Book Archive

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