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Volumn 36, Issue 2, 1998, Pages 609-653

Existence of markov controls and characterization of optimal markov controls

Author keywords

Linear programming; Markov controls; Martingale problems; Occupation measures; Optimal controls; Stationary processes

Indexed keywords

COMPUTATIONAL METHODS; CONTROL SYSTEM SYNTHESIS; LINEAR PROGRAMMING; MARKOV PROCESSES; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; STOCHASTIC CONTROL SYSTEMS; THEOREM PROVING;

EID: 0032024929     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012995295516     Document Type: Article
Times cited : (128)

References (20)
  • 1
    • 0000022835 scopus 로고
    • Invariant measures and evolution equations for Markov processes
    • A. G. BHATT AND R. L. KARANDIKAR, Invariant measures and evolution equations for Markov processes, Ann. Probab., 21 (1993), pp. 2246-2268.
    • (1993) Ann. Probab. , vol.21 , pp. 2246-2268
    • Bhatt, A.G.1    Karandikar, R.L.2
  • 2
    • 0030366646 scopus 로고    scopus 로고
    • Occupation measures for controlled Markov processes: Characterization and optimality
    • A. G. BHATT AND V. S. BORKAR, Occupation measures for controlled Markov processes: Characterization and optimality, Ann. Probab., 24 (1996), pp. 1531-1562.
    • (1996) Ann. Probab. , vol.24 , pp. 1531-1562
    • Bhatt, A.G.1    Borkar, V.S.2
  • 3
    • 0003112267 scopus 로고
    • A remark on the attainable distributions of controlled diffusions
    • V. S. BORKAR, A remark on the attainable distributions of controlled diffusions, Stochastics, 18 (1986), pp. 17-23.
    • (1986) Stochastics , vol.18 , pp. 17-23
    • Borkar, V.S.1
  • 4
    • 0023670889 scopus 로고
    • Ergodic control of multidimensional diffusions I: The existence results
    • V. S. BORKAR AND M. K. GHOSH, Ergodic control of multidimensional diffusions I: The existence results, SIAM J. Control Optim., 26 (1988), pp. 112-126.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 112-126
    • Borkar, V.S.1    Ghosh, M.K.2
  • 5
    • 0009244154 scopus 로고
    • On sequential decisions and Markov chains
    • C. DERMAN, On sequential decisions and Markov chains, Management Sci., 9 (1962), pp. 16-24.
    • (1962) Management Sci. , vol.9 , pp. 16-24
    • Derman, C.1
  • 6
    • 0001554538 scopus 로고
    • On linear programming in a Markov decision problem
    • E. V. DENARDO, On linear programming in a Markov decision problem, Management Sci., 16 (1970), pp. 281-288.
    • (1970) Management Sci. , vol.16 , pp. 281-288
    • Denardo, E.V.1
  • 7
    • 0000457250 scopus 로고
    • Asymptotic normality for sums of dependent random variables
    • L. M. Le Cam, J. Neyman and E. L. Scott, eds., University of California Press, Berkeley, CA
    • A. DVORETSKY, Asymptotic normality for sums of dependent random variables, in Proc. 6th Berkeley Symposium on Mathematical Statistics and Probability, L. M. Le Cam, J. Neyman and E. L. Scott, eds., University of California Press, Berkeley, CA, 1972, pp. 513-535.
    • (1972) Proc. 6th Berkeley Symposium on Mathematical Statistics and Probability , pp. 513-535
    • Dvoretsky, A.1
  • 8
    • 0001274938 scopus 로고
    • Compactification methods in the control of degenerate diffusions: Existence of an optimal control
    • N. EL KAROUI, D. NGUYEN, AND M. JEANBLANC-PICQUE, Compactification methods in the control of degenerate diffusions: Existence of an optimal control, Stochastics, 20 (1987), pp. 169-219.
    • (1987) Stochastics , vol.20 , pp. 169-219
    • El Karoui, N.1    Nguyen, D.2    Jeanblanc-Picque, M.3
  • 10
    • 0024731399 scopus 로고
    • Convex duality approach to the optimal control of diffusions
    • W. H. FLEMING AND D. VERMES, Convex duality approach to the optimal control of diffusions, SIAM J. Control Optim., 27 (1989), pp. 1136-1155.
    • (1989) SIAM J. Control Optim. , vol.27 , pp. 1136-1155
    • Fleming, W.H.1    Vermes, D.2
  • 11
    • 0000335830 scopus 로고
    • Mimicking the one-dimensional marginal distributions of processes having an Ito differential
    • I. GYÖNGY, Mimicking the one-dimensional marginal distributions of processes having an Ito differential, Probab. Theory Related Fields, 71 (1986), pp. 501-516.
    • (1986) Probab. Theory Related Fields , vol.71 , pp. 501-516
    • Gyöngy, I.1
  • 13
    • 0013260916 scopus 로고
    • Once more about the connection between elliptic operators and Itô's stochastic equations
    • Optimization Software Inc., New York
    • N. V. KRYLOV, Once more about the connection between elliptic operators and Itô's stochastic equations, in Statistics and Control of Stochastic Processes, Steklov Seminar, 1984, Optimization Software Inc., New York, 1985, pp. 214-229.
    • (1985) Statistics and Control of Stochastic Processes, Steklov Seminar, 1984 , pp. 214-229
    • Krylov, N.V.1
  • 14
    • 0004399662 scopus 로고
    • Averaging for martingale problems and stochastic approximation
    • Proc. Joint U.S.-French Workshop on Applied Stochastic Analysis, Springer-Verlag, New York
    • T. G. KURTZ, Averaging for martingale problems and stochastic approximation, in Proc. Joint U.S.-French Workshop on Applied Stochastic Analysis, Lecture Notes in Control and Inform. Sci. 177, Springer-Verlag, New York, 1992, pp. 186-209.
    • (1992) Lecture Notes in Control and Inform. Sci. , vol.177 , pp. 186-209
    • Kurtz, T.G.1
  • 15
    • 0001257766 scopus 로고
    • Linear programming and sequential decisions
    • A. S. MANNE, Linear programming and sequential decisions, Management Sci., 6 (1960), pp. 259-267.
    • (1960) Management Sci. , vol.6 , pp. 259-267
    • Manne, A.S.1
  • 16
    • 0009103473 scopus 로고
    • A linear programming problem connected with optimal stationary control in a dynamic decision problem
    • B. G. PITTEL, A linear programming problem connected with optimal stationary control in a dynamic decision problem, Theory Probab. Appl., 16 (1971), pp. 724-728.
    • (1971) Theory Probab. Appl. , vol.16 , pp. 724-728
    • Pittel, B.G.1
  • 18
    • 0001287190 scopus 로고
    • Time-average control of martingale problems: Existence of a stationary solution
    • R. H. STOCKBRIDGE, Time-average control of martingale problems: Existence of a stationary solution, Ann. Probab., 18 (1990), pp. 190-205.
    • (1990) Ann. Probab. , vol.18 , pp. 190-205
    • Stockbridge, R.H.1
  • 19
    • 0001287187 scopus 로고
    • Time-average control of martingale problems: A linear programming formulation
    • R. H. STOCKBRIDGE, Time-average control of martingale problems: A linear programming formulation, Ann. Probab., 18 (1990), pp. 206-217.
    • (1990) Ann. Probab. , vol.18 , pp. 206-217
    • Stockbridge, R.H.1
  • 20
    • 0009105592 scopus 로고
    • Linear programming in a Markov chain
    • P. WOLFE AND G. B. DANTZIG, Linear programming in a Markov chain, Oper. Res., 10 (1962), pp. 702-710.
    • (1962) Oper. Res. , vol.10 , pp. 702-710
    • Wolfe, P.1    Dantzig, G.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.