메뉴 건너뛰기




Volumn 34, Issue 1, 1996, Pages 295-310

Average optimality in Markov control processes via discounted-cost problems and linear programming

Author keywords

(Discrete time) Markov control processes; Average cost criterion; Discounted cost criterion; Linear programming (in general vector spaces)

Indexed keywords

CONSTRAINT THEORY; COSTS; LINEAR PROGRAMMING; MARKOV PROCESSES; SET THEORY;

EID: 0029733401     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012993245306     Document Type: Article
Times cited : (7)

References (17)
  • 3
    • 0001554538 scopus 로고
    • On linear programming in a Markov decision problem
    • E. V. DENARDO, On linear programming in a Markov decision problem, Manag. Sci., 16 (1970), pp. 281-288.
    • (1970) Manag. Sci. , vol.16 , pp. 281-288
    • Denardo, E.V.1
  • 6
    • 2342594962 scopus 로고
    • Existence of average optimal policies in Markov control processes with strictly unbounded costs
    • Prague
    • _, Existence of average optimal policies in Markov control processes with strictly unbounded costs, Kybernetika (Prague), 29 (1993), pp. 1-17.
    • (1993) Kybernetika , vol.29 , pp. 1-17
  • 7
    • 0345809499 scopus 로고
    • Discounted cost Markov decision processes on Borel spaces: The linear programming formulation
    • O. HERNÁNDEZ-LERMA AND D. HERNÁNDEZ-HERNÁNDEZ, Discounted cost Markov decision processes on Borel spaces: The linear programming formulation, J. Math. Anal. Appl., 183 (1994), pp. 335-351.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 335-351
    • Hernández-Lerma, O.1    Hernández-Hernández, D.2
  • 8
    • 0028397545 scopus 로고
    • Linear programming and average optimality of Markov control processes on Borel spaces - Unbounded costs
    • O. HERNÁNDEZ-LERMA AND J. B. LASSERRE, Linear programming and average optimality of Markov control processes on Borel spaces - unbounded costs, SIAM J. Control Optim., 32 (1994), pp. 480-500.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 480-500
    • Hernández-Lerma, O.1    Lasserre, J.B.2
  • 9
    • 0008620275 scopus 로고
    • Discrete-time Markov control processes with discounted unbounded costs: Optimality criteria
    • Prague
    • O. HERNÁNDEZ-LERMA AND M. MUNOZ DE OZAK, Discrete-time Markov control processes with discounted unbounded costs: Optimality criteria, Kybernetika (Prague), 28 (1992), pp. 191-213.
    • (1992) Kybernetika , vol.28 , pp. 191-213
    • Hernández-Lerma, O.1    Munoz De Ozak, M.2
  • 10
    • 0003265935 scopus 로고
    • Foundations of Non-Stationary Dynamic Programming with Discrete-Time Parameter
    • Springer-Verlag, New York
    • K. HINDERER, Foundations of Non-Stationary Dynamic Programming with Discrete-Time Parameter, Lecture Notes Oper. Res. 33, Springer-Verlag, New York, 1970.
    • (1970) Lecture Notes Oper. Res. , vol.33
    • Hinderer, K.1
  • 11
    • 0024626806 scopus 로고
    • The existence of a minimum pair of state and policy for Markov decision processes under the hypothesis of Doeblin
    • M. KURANO, The existence of a minimum pair of state and policy for Markov decision processes under the hypothesis of Doeblin, SIAM J. Control Optim., 27 (1989), pp. 296-307.
    • (1989) SIAM J. Control Optim. , vol.27 , pp. 296-307
    • Kurano, M.1
  • 12
    • 0002775664 scopus 로고
    • Linear Programming and Finite Markovian Control Problems
    • Mathematische Centrum, Amsterdam
    • L. C. M. KALLENBERG, Linear Programming and Finite Markovian Control Problems, Math. Centre Tracts 148, Mathematische Centrum, Amsterdam, 1983.
    • (1983) Math Centre Tracts , vol.148
    • Kallenberg, L.C.M.1
  • 13
    • 38149145972 scopus 로고
    • Average optimal stationary policies and linear programming in countable state Markov decision processes
    • J. B. LASSERRE, Average optimal stationary policies and linear programming in countable state Markov decision processes, J. Math. Anal. Appl., 183 (1994), pp. 233-249.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 233-249
    • Lasserre, J.B.1
  • 14
    • 0001340189 scopus 로고
    • Stability of Markovian processes I: Criteria for discrete-time chains
    • S. P. MEYN AND R. L. TWEEDIE, Stability of Markovian processes I: Criteria for discrete-time chains, Adv. in Appl. Probab., 24 (1992), pp. 542-574.
    • (1992) Adv. in Appl. Probab. , vol.24 , pp. 542-574
    • Meyn, S.P.1    Tweedie, R.L.2
  • 15
    • 24944524878 scopus 로고
    • Conditions for average optimality in Markov control processes with unbounded costs and controls
    • summary in The full paper is available via anonymous ftp in trick.ntp.springer.de, file name /jmsec/11617.ps.
    • R. MONTES-DE-OCA AND O. HERNÁNDEZ-LERMA, Conditions for average optimality in Markov control processes with unbounded costs and controls, summary in J. Math. Systems Estim. Control, 4 (1994), pp. 145-148. The full paper is available via anonymous ftp in trick.ntp.springer.de, file name /jmsec/11617.ps.
    • (1994) J. Math. Systems Estim. Control , vol.4 , pp. 145-148
    • Montes-De-Oca, R.1    Hernández-Lerma, O.2
  • 16
    • 0024702152 scopus 로고
    • Average cost optimal stationary policies in infinite state Markov decision processes with unbounded costs
    • L. I. SENNOTT, Average cost optimal stationary policies in infinite state Markov decision processes with unbounded costs, Oper. Res., 37 (1989), pp. 626-633.
    • (1989) Oper. Res. , vol.37 , pp. 626-633
    • Sennott, L.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.