@article{DMPS_2003_23_1_a0,
author = {Hildenbrandt, Regina},
title = {Stochastic dynamic programming with random disturbances},
journal = {Discussiones Mathematicae. Probability and Statistics},
pages = {5--44},
year = {2003},
volume = {23},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMPS_2003_23_1_a0/}
}
Hildenbrandt, Regina. Stochastic dynamic programming with random disturbances. Discussiones Mathematicae. Probability and Statistics, Tome 23 (2003) no. 1, pp. 5-44. http://geodesic.mathdoc.fr/item/DMPS_2003_23_1_a0/
[1] R.K. Ahuja, T.L. Magnanti and J.B. Orlin, Networks Flows, Handbooks in Operations Research and Management Science, Vol. I. Ed. by Neuhauser, G.L.; Rinnooy Kan, A.H.G.; Todd, M.J. Elsevier Science Pub. B.V.; Amsterdam 1989.
[2] D.P. Bertsekas, Dynamic Programming and Optimal Control, I and II, Athena Scientific, Belmont, Massachusetts. New York-San Francisco-London 1995.
[3] D.J. Daley, Stochastic monotone Markov processes, Z. Wahrsch. Verw. Gebiete, 10 (1968), 3, 05-317.
[4] W. Dinkelbach, Entscheidungsmodelle, Springer-Verlag, Berlin-New York 1982.
[5] S.E. Dreyfus and A.M. Law, The Art and Theory of Dynamic Programming, Academic Press New York-San Francisco-London 1977.
[6] H.J. Girlich, P.M. Köchel and H.U. Küenle, Steuerung dynamischer Systeme, Birkhäuser, Basel 1990.
[7] O. Hernández-Lerma, Adaptive Markov control Processe, Springer-Verlag, New York-Berlin 1989.
[8] R. Hildenbrandt, A special stochastic decision problem, Optimization 28 (1993), 95-110.
[9] R. Hildenbrandt, Methoden aus ganzzahliger Optimierung und Verbandstheorie zur Behandlung eines stochastischen dynamischen Transportproblems, Habilitationsschrift, TU Ilmenau 1995, (Libri BoD, 2000).
[10] R. Hildenbrandt, Zu stochastischen dynamischen Optimierungsproblems, Preprint No. M17/96, TU Ilmenau 1996.
[11] R. Hildenbrandt, Notes of stochastic dynamic programming, where the random disturbances are observed before the decision is made at each stage and corresponding problems with distance properties, Preprint No. M08/00, TU Ilmenau 2000.
[12] P. Kumar and R.P. Varaiya, Stochastic Systems: Estimation, Identification, and Adaptive Control, Prentice Hall, New Jersey 1986.
[13] A. Müller, Integralinduzierte Ordnungen und Metriken auf Mengen von Wahrscheinlichkeitsma\ßen mit Anwendungen bei Markovschen Entscheidungsprozessen, Dissertation, Universität Karlsruhe 1995.
[14] K. Neumann, Operations-Research-Verfahren, Band II Carl Hanser, München 1977.
[15] K. Neumann and M. Morlock, Operations Research, Carl Hanser Verlag München, Wien 1993.
[16] C. Schneeweiss, Dynamisches Programmieren, Physica-Verlag Würzburg-Wien 1974.
[17] H.J. Sebastian and N. Sieber, Diskrete dynamische Optimierung, Geest K.G. Porting; Leipzig 1981.