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Markov decision drift processes

  • Chapter
Semi-Markov Models

Abstract

In Markov decision theory we distinguish

  1. (a)

    discrete-time Markov decision processes

  2. (b)

    semi-Markov decision processes

  3. (c)

    continuous time Markov decision processes.

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References

  • Constantinides, G.M., (1976). Stochastic cash management with fixed and proportional transaction costs. Management Sci. 22, 1320–1331.

    Article  MathSciNet  MATH  Google Scholar 

  • Constantinides, G.M. and S.F. Richard (1978). Existence of optimal simple policies for discounted-cost inventory and cash management in continuous time. Operations Res. 26, 620–636.

    Article  MathSciNet  MATH  Google Scholar 

  • Davis, M.H.A., (1984). Piecewise-deterministic Markov processes: A general class of non-diffusion stochastic models. J.R. Statist.Soc. B. 46, 353–388.

    MATH  Google Scholar 

  • Hordijk, A. and F.A. Van der Duyn Schouten (1984). Discretization and weak convergence in Markov decision drift processes. Math. Oper.Res. 9, 112–141.

    Article  MathSciNet  MATH  Google Scholar 

  • Hordijk, A. and F.A. Van der Duyn Schouten (1985). Markov decision drift processes; conditions for optimality obtained by discretization. Math. Oper. Res. 10, 160–173.

    Article  MathSciNet  MATH  Google Scholar 

  • Hordijk, A. and F.A. Van der Duyn Schouten (1983). Average optimal policies in Markov decision drift processes with applications to a queueing and a replacement model. Advances in Appl.Probability 15, 274–303.

    Article  MATH  Google Scholar 

  • De Kok, A.G., H.C. Tijms and F.A. Van der Duyn Schouten (1984). Approximations for the single product production-inventory problem with compound Poisson demand and service-level constraints. Advances in Appl. Probability 16, 378–401.

    Article  MATH  Google Scholar 

  • Lam, Y. and L.C. Thomas (1983). Adaptive control of M/M/1 queues-continuous time Markov decision process approach. J. Appl. Probability 20, 368–379.

    Article  MathSciNet  MATH  Google Scholar 

  • Luss, H., (1976). Maintenance policies when deterioration can be observed by inspections. Operations Res. 24, 359–366.

    Article  MathSciNet  MATH  Google Scholar 

  • Rosenfield, D., (1976). Markovian deterioration with uncertain information. Operations Res. 24, 141–155.

    Article  MathSciNet  MATH  Google Scholar 

  • Tijms, H.C. and F.A. Van der Duyn Schouten (1985). A Markov decision algorithm for optimal inspections and revisions in a maintenance system with partial information. European J. of Oper. Res. 21, 245–253.

    Article  MATH  Google Scholar 

  • Van der Duyn Schouten, F.A., (1983). Markov decision processes with continuous time parameter. Math. Centre Tract 164. Mathematical Centre, Amsterdam.

    Google Scholar 

  • Vermes, D., (1985). Optimal control of piecewise deterministic processes. Stochastics 14, 165–208.

    Article  MathSciNet  MATH  Google Scholar 

  • Yushkevich, A.A., (1983). Continuous time Markov decision processes with interventions. Stochastics 9, 235–274.

    Article  MathSciNet  MATH  Google Scholar 

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© 1986 Springer Science+Business Media New York

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Van der Duyn Schouten, F.A. (1986). Markov decision drift processes. In: Janssen, J. (eds) Semi-Markov Models. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0574-1_5

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  • DOI: https://doi.org/10.1007/978-1-4899-0574-1_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-0576-5

  • Online ISBN: 978-1-4899-0574-1

  • eBook Packages: Springer Book Archive

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