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Complexity Issues in Markov Decision Processes (1998)  (Make Corrections)  (10 citations)
Judy Goldsmith, Martin Mundhenk
IEEE Conference on Computational Complexity



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Abstract: We survey the complexity of computational problems about Markov decision processes: evaluating policies, finding good and best policies, approximating best policies, and related decision problems. 1 Introduction Partially-observable Markov decision processes (POMDPs) model sequential decision making when outcomes are uncertain and the state of the system cannot be completely observed. They consist of decision epochs, states, observations, actions, transition probabilities, and rewards. At... (Update)

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...case. The computational complexity of nite horizon control problems has received considerable attention recently, see for example [48,10,39,20]. For the in nitehorizon case, two questions, the complexity of goal state reachability with either nonzero probability or...

.... investigated the computational complexity of various MDP problems and algorithms [76, 13, 93, 84] A paper by Goldsmith and Mundhenk [45] surveys complexity results for many MDP problems and points to new directions. This thesis investigates questions raised in the rst...

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BibTeX entry:   (Update)

Goldsmith, J., and Mundhenk, M. 1998. Complexity issues in Markov decision processes. In Proceedings of IEEE Conference on Computational Complexity, 272-- 280. http://citeseer.ist.psu.edu/goldsmith98complexity.html   More

@inproceedings{ goldsmith98complexity,
    author = "Judy Goldsmith and Martin Mundhenk",
    title = "Complexity Issues in Markov Decision Processes",
    booktitle = "{IEEE} Conference on Computational Complexity",
    pages = "272-280",
    year = "1998",
    url = "citeseer.ist.psu.edu/goldsmith98complexity.html" }
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408   Princeton University Press (context) - Bellman - 1957
246   Markov decision processes (context) - Puterman - 1994
216   The optimal control of partially observable Markov processes (context) - Sondik - 1971
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146   An algorithm for probabilistic planning - Kushmerick, Hanks et al. - 1995
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66   PP is closed under intersection - Beigel, Reingold et al. - 1995
64   Planning under uncertainty: Structural assumptions and compu.. - Boutilier, Dean et al. - 1995
64   decidability and undecidability results for domain-independe.. (context) - Erol, Nau et al. - 1995
53   Probabilistic propositional planning: Representations and co.. - Littman - 1997
53   Probabilistic propositional planning: Representations and co.. - Littman - 1997
46   Counting auxiliary pushdown automata and semi-unbounded arit.. (context) - Vinay - 1991
46   The computational complexity of probabilistic planning - Littman, Goldsmith et al. - 1998
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16   Complexity results for hierarchical tasknetwork planning (context) - Erol, Hendler et al. - 1996
15   The complexity of plan existence and evaluation in probabili.. - Goldsmith, Littman et al. - 1997
13   Intractable problems in control theory (context) - Papadimitriou, Tsitsiklis - 1986
10   Polynomial space counting problems (context) - Ladner - 1989
8   RAIRO Theoretical Informatics and Applications (context) - Allender, Ogihara et al. - 1996
7   Nonapproximability results for Markov decision processes (context) - Lusena, Goldsmith et al. - 1998
6   Encyclopaedia of complexity results for finite-horizon Marko.. - Mundhenk, Goldsmith et al. - 1997
6   The complexity of the policy existence problem for partially.. (context) - Mundhenk, Goldsmith et al. - 1997
6   Probabilistic STRIPS planning is EXPTIME-complete (context) - Littman - 1996
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1   The complexity of POMDPs under tractable history dependent p.. (context) - Mundhenk - 1997



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