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Volumn 147, Issue 1-2, 2003, Pages 5-34

On the undecidability of probabilistic planning and related stochastic optimization problems

Author keywords

Computability; Computational complexity; Discounted; Infinity horizon; Markov decision processes; Partial observability; Probabilistic planning; Stochastic optimization; Undecidability; Unobservability

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; DECISION THEORY; MARKOV PROCESSES; MATHEMATICAL MODELS; PLANNING; PROBABILISTIC LOGICS; PROBLEM SOLVING;

EID: 0037840849     PISSN: 00043702     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0004-3702(02)00378-8     Document Type: Article
Times cited : (222)

References (50)
  • 1
    • 0012793676 scopus 로고
    • Distinguishing tests for nondeterministic and probabilistic machines
    • Alur R., Couroubetis C., Yannakakis M. Distinguishing tests for nondeterministic and probabilistic machines. Proc. of 27th STOC. 1995;363-372.
    • (1995) Proc. of 27th STOC , pp. 363-372
    • Alur, R.1    Couroubetis, C.2    Yannakakis, M.3
  • 2
    • 0037919794 scopus 로고
    • Optimal control of partially observable Markovian systems
    • Aoki M. Optimal control of partially observable Markovian systems. J. Franklin Inst. 280:1965;367-386.
    • (1965) J. Franklin Inst. , vol.280 , pp. 367-386
    • Aoki, M.1
  • 3
    • 50549213583 scopus 로고
    • Optimal control of Markov processes with incomplete state information
    • Ästrom K.J. Optimal control of Markov processes with incomplete state information. J. Math. Anal. Appl. 10:1965;174-205.
    • (1965) J. Math. Anal. Appl. , vol.10 , pp. 174-205
    • Ästrom, K.J.1
  • 4
    • 85015908033 scopus 로고
    • The solution to problems relative to probabilistic automata in the frame of the formal languages theory
    • G. Goos, & J. Hartmanis. Berlin: Springer
    • Bertoni A. The solution to problems relative to probabilistic automata in the frame of the formal languages theory. Goos G., Hartmanis J. Vierte Jahrestagung der Gesellschaft für Informatik. 1975;107-112 Springer, Berlin.
    • (1975) Vierte Jahrestagung der Gesellschaft für Informatik , pp. 107-112
    • Bertoni, A.1
  • 5
    • 85013739496 scopus 로고
    • Some recursively unsolvable problems relating to isolated cutpoints in probabilistic automata
    • Automata, Languages and Programming, Berlin: Springer
    • Bertoni A., Mauri G., Torelli M. Some recursively unsolvable problems relating to isolated cutpoints in probabilistic automata. Automata, Languages and Programming. Lecture Notes in Computer Science. 1977;87-94 Springer, Berlin.
    • (1977) Lecture Notes in Computer Science , pp. 87-94
    • Bertoni, A.1    Mauri, G.2    Torelli, M.3
  • 8
    • 0034264701 scopus 로고    scopus 로고
    • A survey of computational complexity results in systems and control
    • Blondel V.D., Tsitsiklis J.N. A survey of computational complexity results in systems and control. Automatica. 36:(9):2000;1249-1274.
    • (2000) Automatica , vol.36 , Issue.9 , pp. 1249-1274
    • Blondel, V.D.1    Tsitsiklis, J.N.2
  • 9
    • 0346942368 scopus 로고    scopus 로고
    • Decision theoretic planning: Structural assumptions and computational leverage
    • Boutilier C., Dean T., Hanks S. Decision theoretic planning: Structural assumptions and computational leverage. J. Artificial Intelligence Res. 11:2000;1-94.
    • (2000) J. Artificial Intelligence Res. , vol.11 , pp. 1-94
    • Boutilier, C.1    Dean, T.2    Hanks, S.3
  • 10
    • 0030570119 scopus 로고    scopus 로고
    • On the complexity of partially observed Markov decision processes
    • Burago D., De Rougemont M., Slissenko A. On the complexity of partially observed Markov decision processes. Theoret. Comput. Sci. 1996;161-183.
    • (1996) Theoret. Comput. Sci. , pp. 161-183
    • Burago, D.1    De Rougemont, M.2    Slissenko, A.3
  • 11
    • 0028498153 scopus 로고
    • The computational complexity of propositional STRIPS planning
    • Bylander T. The computational complexity of propositional STRIPS planning. Artificial Intelligence. 69:1994;161-204.
    • (1994) Artificial Intelligence , vol.69 , pp. 161-204
    • Bylander, T.1
  • 13
    • 0023381915 scopus 로고
    • Planning for conjunctive goals
    • Chapman D. Planning for conjunctive goals. Artificial Intelligence. 32:(3):1987;333-377.
    • (1987) Artificial Intelligence , vol.32 , Issue.3 , pp. 333-377
    • Chapman, D.1
  • 14
    • 0026820657 scopus 로고
    • The complexity of simple stochastic games
    • Condon A. The complexity of simple stochastic games. Inform. and Comput. 96:(2):1992;203-224.
    • (1992) Inform. and Comput. , vol.96 , Issue.2 , pp. 203-224
    • Condon, A.1
  • 18
    • 2842560201 scopus 로고
    • STRIPS: A new approach to the application of theorem proving to problem solving
    • Fikes R.E., Nilsson N.J. STRIPS: A new approach to the application of theorem proving to problem solving. Artificial Intelligence. 2:(3-4):1971;189-208.
    • (1971) Artificial Intelligence , vol.2 , Issue.3-4 , pp. 189-208
    • Fikes, R.E.1    Nilsson, N.J.2
  • 25
    • 0023995534 scopus 로고
    • Arthur-Merlin games: A randomized proof system, and a hierarchy of complexity classes
    • Moran S., Babai L. Arthur-Merlin games: A randomized proof system, and a hierarchy of complexity classes. J. Computer System Sci. 36:1988;254-276.
    • (1988) J. Computer System Sci. , vol.36 , pp. 254-276
    • Moran, S.1    Babai, L.2
  • 30
    • 0002679852 scopus 로고
    • A survey of algorithmic methods for partially observable Markov decision processes
    • Lovejoy W. A survey of algorithmic methods for partially observable Markov decision processes. Ann. Oper. Res. 1991;47-66.
    • (1991) Ann. Oper. Res. , pp. 47-66
    • Lovejoy, W.1
  • 31
    • 0013455073 scopus 로고
    • A subexponential randomized algorithm for the simple stochastic game problem
    • Ludwig W. A subexponential randomized algorithm for the simple stochastic game problem. Inform. and Comput. 117:1995;151-155.
    • (1995) Inform. and Comput. , vol.117 , pp. 151-155
    • Ludwig, W.1
  • 32
    • 0036374190 scopus 로고    scopus 로고
    • Nonapproximability results for partially observable Markov decision processes
    • Lusena C., Goldsmith J., Mundhenk M. Nonapproximability results for partially observable Markov decision processes. J. Artificial Intelligence Res. 14:2001;83-103.
    • (2001) J. Artificial Intelligence Res. , vol.14 , pp. 83-103
    • Lusena, C.1    Goldsmith, J.2    Mundhenk, M.3
  • 37
    • 0019909899 scopus 로고
    • A survey of partially observable Markov decision processes: Theory, models, and algorithms
    • Monahan G. A survey of partially observable Markov decision processes: Theory, models, and algorithms. Management Sci. 28:(1):1982;1-15.
    • (1982) Management Sci. , vol.28 , Issue.1 , pp. 1-15
    • Monahan, G.1
  • 39
    • 0001205548 scopus 로고    scopus 로고
    • Complexity results for finite-horizon Markov decision processs problems
    • Mundhenk M., Goldsmith J., Lusena C., Allender E. Complexity results for finite-horizon Markov decision processs problems. J. ACM. 47:(4):2000.
    • (2000) J. ACM , vol.47 , Issue.4
    • Mundhenk, M.1    Goldsmith, J.2    Lusena, C.3    Allender, E.4
  • 40
    • 0000977910 scopus 로고
    • The complexity of Markov decision processes
    • Papadimitriou C.H., Tsitsiklis J.N. The complexity of Markov decision processes. Math. Oper. Res. 12:(3):1987;441-450.
    • (1987) Math. Oper. Res. , vol.12 , Issue.3 , pp. 441-450
    • Papadimitriou, C.H.1    Tsitsiklis, J.N.2
  • 43
    • 50549176920 scopus 로고
    • Probabilistic automata
    • Rabin M.O. Probabilistic automata. Inform. and Control. 6:(3):1963;230-245.
    • (1963) Inform. and Control , vol.6 , Issue.3 , pp. 230-245
    • Rabin, M.O.1
  • 44
    • 0037581750 scopus 로고
    • Lectures on classical and probabilistic automata
    • E.R. Caianiello. New York: Academic Press
    • Rabin M.O. Lectures on classical and probabilistic automata. Caianiello E.R. Automata Theory. 1966;Academic Press, New York.
    • (1966) Automata Theory
    • Rabin, M.O.1
  • 45
    • 0037581747 scopus 로고    scopus 로고
    • Complexity of probabilistic planning under average rewards
    • Seattle, WA, San Francisco, CA: Morgan Kaufmann
    • Rintanen J. Complexity of probabilistic planning under average rewards. Proc. IJCAI-01, Seattle, WA. 2001;503-508 Morgan Kaufmann, San Francisco, CA.
    • (2001) Proc. IJCAI-01 , pp. 503-508
    • Rintanen, J.1
  • 46
    • 0015658957 scopus 로고
    • The optimal control of partially observable Markov processes over a finite horizon
    • Smallwood R., Sondik E.J. The optimal control of partially observable Markov processes over a finite horizon. Oper. Res. 21:1973;1071-1088.
    • (1973) Oper. Res. , vol.21 , pp. 1071-1088
    • Smallwood, R.1    Sondik, E.J.2
  • 47
    • 0017943242 scopus 로고
    • The optimal control of partially observable Markov processes over the infinite horizon: Discounted costs
    • Sondik E.J. The optimal control of partially observable Markov processes over the infinite horizon: Discounted costs. Oper. Res. 26:(2):1978;282-304.
    • (1978) Oper. Res. , vol.26 , Issue.2 , pp. 282-304
    • Sondik, E.J.1
  • 48
    • 0025491302 scopus 로고
    • Solving H -horizon stationary Markov decision process in time proportional to log(H)
    • Tseng P. Solving H -horizon stationary Markov decision process in time proportional to log(H). Oper. Res. Lett. 9:(5):1990;287-297.
    • (1990) Oper. Res. Lett. , vol.9 , Issue.5 , pp. 287-297
    • Tseng, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.