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Volumn 51, Issue 2, 1998, Pages 123-139

Linear Programming Approximations for Markov Control Processes in Metric Spaces

Author keywords

(discrete time) Markov control processes; Aggregation; Infinite dimensional linear programming; Inner approximations; Relaxation

Indexed keywords


EID: 0012265595     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005826226226     Document Type: Article
Times cited : (16)

References (32)
  • 1
    • 0003989208 scopus 로고
    • Rapport RR-2574, INRIA, Centre Sophia-Antipolis, Book in preparation
    • Altman, E.: Constrained Markov Decision Processes, Rapport RR-2574, INRIA, Centre Sophia-Antipolis, 1995. (Book in preparation.)
    • (1995) Constrained Markov Decision Processes
    • Altman, E.1
  • 3
    • 0003866913 scopus 로고
    • Cahiers de mathématiques de la décision, CEREMADE, Université Paris IX-Dauphine, Paris
    • Balder, E.: Lectures on Young Measures, Cahiers de mathématiques de la décision, CEREMADE, Université Paris IX-Dauphine, Paris, 1995.
    • (1995) Lectures on Young Measures
    • Balder, E.1
  • 5
    • 0003695445 scopus 로고
    • Chap. IX, Hermann, Paris
    • Bourbaki, N.: Intégration, Chap. IX, Hermann, Paris, 1969.
    • (1969) Intégration
    • Bourbaki, N.1
  • 6
    • 0026123577 scopus 로고
    • Impulse control of piecewise-deterministic processes via linear programming
    • Costa, O. L. V.: Impulse control of piecewise-deterministic processes via linear programming, IEEE Trans. Automat. Control 36 (1991), 371-375.
    • (1991) IEEE Trans. Automat. Control , vol.36 , pp. 371-375
    • Costa, O.L.V.1
  • 8
    • 0343709723 scopus 로고
    • An algorithm to obtain the maximum solution of the Hamilton-Jacobi equation
    • Springer-Verlag, Berlin
    • González, R. and Rofman, E.: An algorithm to obtain the maximum solution of the Hamilton-Jacobi equation, in: Lecture Notes in Control and Inform. Sci. 6, Springer-Verlag, Berlin, 1978, pp. 109-116.
    • (1978) Lecture Notes in Control and Inform. Sci. , vol.6 , pp. 109-116
    • González, R.1    Rofman, E.2
  • 10
    • 0031677018 scopus 로고    scopus 로고
    • Infinite linear programming and multichain Markov control processes in uncountable spaces
    • to appear
    • Hernández-Lerma, O. and González-Hernández, J.: Infinite linear programming and multichain Markov control processes in uncountable spaces, SIAM J. Control Optim. 36 (1998), to appear.
    • (1998) SIAM J. Control Optim. , vol.36
    • Hernández-Lerma, O.1    González-Hernández, J.2
  • 11
    • 0028397545 scopus 로고
    • Linear programming and average optimality of Markov control processes on Borel spaces - Unbounded costs
    • Hernández-Lerma, O. and Lasserre, J. B.: Linear programming and average optimality of Markov control processes on Borel spaces - unbounded costs, SIAM J. Control Optim. 32 (1994), 480-500.
    • (1994) SIAM J. Control Optim. , vol.32 , pp. 480-500
    • Hernández-Lerma, O.1    Lasserre, J.B.2
  • 12
    • 0029733401 scopus 로고    scopus 로고
    • Average optimality in Markov control processes via discounted cost problems and linear programming
    • Hernández-Lerma, O. and Lasserre, J. B.: Average optimality in Markov control processes via discounted cost problems and linear programming, SIAM J. Control Optim. 34 (1996), 295-310.
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 295-310
    • Hernández-Lerma, O.1    Lasserre, J.B.2
  • 15
    • 21744436332 scopus 로고    scopus 로고
    • Cone-constrained linear equations in Banach spaces
    • Hernández-Lerma, O. and Lasserre, J. B.: Cone-constrained linear equations in Banach spaces, J. Convex Anal. 4 (1997), 149-164.
    • (1997) J. Convex Anal. , vol.4 , pp. 149-164
    • Hernández-Lerma, O.1    Lasserre, J.B.2
  • 16
    • 0008657932 scopus 로고    scopus 로고
    • Policy iteration for average cost Markov control processes on Borel spaces
    • Hernández-Lerma, O. and Lasserre, J. B.: Policy iteration for average cost Markov control processes on Borel spaces, Acta Appl. Math. 47(2) (1997), 125-154.
    • (1997) Acta Appl. Math. , vol.47 , Issue.2 , pp. 125-154
    • Hernández-Lerma, O.1    Lasserre, J.B.2
  • 18
    • 0344325087 scopus 로고
    • Linear programming formulation of Markov decision processes in countable state space: The multichain case
    • Hordijk, A. and Lasserre, J. B.: Linear programming formulation of Markov decision processes in countable state space: the multichain case, Z. Oper. Res. 40 (1994), 91-108.
    • (1994) Z. Oper. Res. , vol.40 , pp. 91-108
    • Hordijk, A.1    Lasserre, J.B.2
  • 20
    • 0141754345 scopus 로고
    • Survey of linear programming for standard and nonstandard Markovian control problems. Part I: Theory, Part II: Applications
    • Kallenberg, L. C. M.: Survey of linear programming for standard and nonstandard Markovian control problems. Part I: Theory, Part II: Applications, Z. Oper. Res. 40 (1994), 1-42, 127-143.
    • (1994) Z. Oper. Res. , vol.40 , pp. 1-42
    • Kallenberg, L.C.M.1
  • 21
    • 38149145972 scopus 로고
    • Average optimal stationary policies and linear programming in countable state MDPs
    • Lasserre, J. B.: Average optimal stationary policies and linear programming in countable state MDPs, J. Math. Anal. Appl. 183 (1994), 233-249.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 233-249
    • Lasserre, J.B.1
  • 22
    • 0346144338 scopus 로고    scopus 로고
    • Value iteration in average cost Markov control processes on Borel spaces
    • Montes-de-Oca, R. and Hernández-Lerma, O.: Value iteration in average cost Markov control processes on Borel spaces, Acta Appl. Math. 42 (1996), 203-222.
    • (1996) Acta Appl. Math. , vol.42 , pp. 203-222
    • Montes-de-Oca, R.1    Hernández-Lerma, O.2
  • 27
    • 0001301560 scopus 로고
    • The global control of nonlinear diffusion equations
    • Rubio, J.: The global control of nonlinear diffusion equations, SIAM J. Control Optim. 33 (1995), 308-322.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 308-322
    • Rubio, J.1
  • 28
    • 2342595166 scopus 로고
    • The SILP relaxation method in optimal control theory: General boundary conditions, I, II
    • Rudolph, H.: The SILP relaxation method in optimal control theory: general boundary conditions, I, II, Z. Anal. Anwendungen 11 (1992), 143-151, 431-436.
    • (1992) Z. Anal. Anwendungen , vol.11 , pp. 143-151
    • Rudolph, H.1
  • 31
    • 0038952812 scopus 로고
    • Some remarks on the infinite-dimensional problems of linear programming
    • Vershik, A.M.: Some remarks on the infinite-dimensional problems of linear programming, Russian Math. Surveys 29 (1970), 117-124.
    • (1970) Russian Math. Surveys , vol.29 , pp. 117-124
    • Vershik, A.M.1
  • 32
    • 0038952813 scopus 로고
    • Some questions concerning the approximation of the optimal value of infinite-dimensional problems in linear programming
    • Vershik, A. M. and Temel't, V.: Some questions concerning the approximation of the optimal value of infinite-dimensional problems in linear programming, Siberian Math. J. 9 (1968), 591-601.
    • (1968) Siberian Math. J. , vol.9 , pp. 591-601
    • Vershik, A.M.1    Temel't, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.