-
1
-
-
0027557742
-
Discrete-time controlled Markov processes with average cost criterion: A survey
-
A. ARAPOSTATHIS, V.S. BORKAR, E. FERNÁNDEZ-GAUCHERAND, M.K. GHOSH, AND S.I. MARCUS, Discrete-time controlled Markov processes with average cost criterion: A survey, SIAM J. Control Optim., 31 (1993), pp. 282-344.
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 282-344
-
-
Arapostathis, A.1
Borkar, V.S.2
Fernández-Gaucherand, E.3
Ghosh, M.K.4
Marcus, S.I.5
-
3
-
-
0042613487
-
Control of Markov chains with long-run average cost criterion
-
Stochastic Differential Systems, Stochastic Control Theory and Applications, W. Fleming and P.L. Lions, eds., Springer-Verlag, Berlin
-
B.S. BORKAR, Control of Markov chains with long-run average cost criterion, in Stochastic Differential Systems, Stochastic Control Theory and Applications, W. Fleming and P.L. Lions, eds., IMA Vol. Math. Appl. 10, Springer-Verlag, Berlin, 1988, pp. 57-77.
-
(1988)
IMA Vol. Math. Appl.
, vol.10
, pp. 57-77
-
-
Borkar, B.S.1
-
4
-
-
0003448964
-
Topics in controlled Markov processes
-
Longman, Harlow, UK
-
V.S. BORKAR, Topics in Controlled Markov Processes, Pitman Res. Notes Math. Ser. 240, Longman, Harlow, UK, 1991.
-
Pitman Res. Notes Math. Ser.
, vol.240
, pp. 1991
-
-
Borkar, V.S.1
-
5
-
-
0004864592
-
Denumerable controlled Markov chains with average reward criterion: Sample path optimality
-
R. CAVAZOS-CADENA AND E. FERNÁNDEZ-GAUCHERAND, Denumerable controlled Markov chains with average reward criterion: Sample path optimality, Math. Methods Oper. Res., 41 (1995), pp. 89-108.
-
(1995)
Math. Methods Oper. Res.
, vol.41
, pp. 89-108
-
-
Cavazos-Cadena, R.1
Fernández-Gaucherand, E.2
-
6
-
-
0001128053
-
Recurrence conditions for average and Blackwell optimality in denumerable state Markov decision chains
-
R. DEKKER AND A. HORDIJK, Recurrence conditions for average and Blackwell optimality in denumerable state Markov decision chains, Math. Oper. Res., 17 (1992), pp. 271-289.
-
(1992)
Math. Oper. Res
, vol.17
, pp. 271-289
-
-
Dekker, R.1
Hordijk, A.2
-
9
-
-
0030522182
-
A Lyapunov bound for solutions of the Poisson equation
-
P.W. GLYNN AND S.P. MEYN, A Lyapunov bound for solutions of the Poisson equation, Ann. Probab., 24 (1996), pp. 916-931.
-
(1996)
Ann. Probab.
, vol.24
, pp. 916-931
-
-
Glynn, P.W.1
Meyn, S.P.2
-
10
-
-
0345073172
-
Envelopes of sets of measures, tightness, and Markov control processes
-
J. GONZÁLEZ-HERNÁNDEZ AND O. HERNÁNDEZ-LERMA, Envelopes of sets of measures, tightness, and Markov control processes, Appl. Math. Optim., 40 (1999), pp. 377-392.
-
(1999)
Appl. Math. Optim.
, vol.40
, pp. 377-392
-
-
González-Hernández, J.1
Hernández-Lerma, O.2
-
12
-
-
0001259333
-
Average cost Markov control processes with weighted norms: Existence of canonical policies
-
E. GORDIENKO AND O. HERNÁNDEZ-LERMA, Average cost Markov control processes with weighted norms: Existence of canonical policies, Appl. Math. (Warsaw), 23 (1995), pp. 199-218.
-
(1995)
Appl. Math. (Warsaw)
, vol.23
, pp. 199-218
-
-
Gordienko, E.1
Hernández-Lerma, O.2
-
13
-
-
0001677238
-
Average cost Markov control processes with weighted norms: Value iteration
-
E. GORDIENKO AND O. HERNÁNDEZ-LERMA, Average cost Markov control processes with weighted norms: Value iteration, Appl. Math. (Warsaw), 23 (1995), pp. 219-237.
-
(1995)
Appl. Math. (Warsaw)
, vol.23
, pp. 219-237
-
-
Gordienko, E.1
Hernández-Lerma, O.2
-
17
-
-
0008657932
-
Policy iteration for average cost Markov control processes on Borel spaces
-
O. HERNÁNDEZ-LERMA AND J.B. LASSERRE, Policy iteration for average cost Markov control processes on Borel spaces, Acta Appl. Math., 47 (1997), pp. 125-154.
-
(1997)
Acta Appl. Math.
, vol.47
, pp. 125-154
-
-
Hernández-Lerma, O.1
Lasserre, J.B.2
-
18
-
-
0000563004
-
Infinite-horizon Markov control processes with undiscounted cost criteria: From average to overtaking optimality
-
O. HERNÁNDEZ-LERMA AND O. VEGA-AMAYA, Infinite-horizon Markov control processes with undiscounted cost criteria: From average to overtaking optimality, Appl. Math. (Warsaw), 25 (1998), pp. 153-178.
-
(1998)
Appl. Math. (Warsaw)
, vol.25
, pp. 153-178
-
-
Hernández-Lerma, O.1
Vega-Amaya, O.2
-
19
-
-
0004211484
-
-
Mathematical Centre Tracts, 51, Mathematisch Centrum, Amsterdam
-
A. HORDIJK, Dynamic Programming and Markov Potential Theory, Mathematical Centre Tracts, 51, Mathematisch Centrum, Amsterdam, 1974.
-
(1974)
Dynamic Programming and Markov Potential Theory
-
-
Hordijk, A.1
-
20
-
-
0040888873
-
Blackwell optimality in the class of stationary policies in Markov decision chains with a Borel state space and unbounded rewards
-
A. HORDIJK AND A.A. YUSHKEVICH, Blackwell optimality in the class of stationary policies in Markov decision chains with a Borel state space and unbounded rewards, Math. Methods Oper. Res., 49 (1999), pp. 1-39.
-
(1999)
Math. Methods Oper. Res.
, vol.49
, pp. 1-39
-
-
Hordijk, A.1
Yushkevich, A.A.2
-
21
-
-
0001324526
-
On finding optimal policies for Markov decision chains: A unifying framework for mean-variance tradeoffs
-
Y. HUANG AND L.C.M. KALLENBERG, On finding optimal policies for Markov decision chains: A unifying framework for mean-variance tradeoffs, Math. Oper. Res., 19 (1994), pp. 434-448.
-
(1994)
Math. Oper. Res.
, vol.19
, pp. 434-448
-
-
Huang, Y.1
Kallenberg, L.C.M.2
-
23
-
-
0003691637
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
P.R. KUMAR AND P. VARAIYA, Stochastic Systems: Estimation, Identification, and Adaptive Control, Prentice-Hall, Englewood Cliffs, NJ, 1986.
-
(1986)
Stochastic Systems: Estimation, Identification, and Adaptive Control
-
-
Kumar, P.R.1
Varaiya, P.2
-
24
-
-
45949117079
-
Markov decision processes with a minimum-variance criterion
-
M. KURANO, Markov decision processes with a minimum-variance criterion, J. Math. Anal. Appl., 123 (1987), pp. 572-583.
-
(1987)
J. Math. Anal. Appl.
, vol.123
, pp. 572-583
-
-
Kurano, M.1
-
26
-
-
0033326571
-
Sample-path average optimality for Markov control processes
-
J.B. LASSERRE, Sample-path average optimality for Markov control processes, IEEE Trans. Automat. Control, 44 (1999), pp. 1966-1971.
-
(1999)
IEEE Trans. Automat. Control
, vol.44
, pp. 1966-1971
-
-
Lasserre, J.B.1
-
28
-
-
0002029988
-
On the variance in controlled Markov chains
-
P. MANDL, On the variance in controlled Markov chains, Kybernetika (Prague), 7 (1971), pp. 1-12.
-
(1971)
Kybernetika (Prague)
, vol.7
, pp. 1-12
-
-
Mandl, P.1
-
29
-
-
0000977770
-
A connection between controlled Markov chains and martingales
-
P. MANDL, A connection between controlled Markov chains and martingales, Kybernetika (Prague), 9 (1973), pp. 237-241.
-
(1973)
Kybernetika (Prague)
, vol.9
, pp. 237-241
-
-
Mandl, P.1
-
30
-
-
0002807389
-
Estimation and control in Markov chains
-
P. MANDL, Estimation and control in Markov chains, Adv. Appl. Probab., 6 (1974), pp. 40-60.
-
(1974)
Adv. Appl. Probab.
, vol.6
, pp. 40-60
-
-
Mandl, P.1
-
35
-
-
0004899732
-
Sample-path average optimality of Markov control processes with strictly unbounded cost
-
to appear
-
O. VEGA-AMAYA, Sample-path average optimality of Markov control processes with strictly unbounded cost, Appl. Math. (Warsaw), to appear.
-
Appl. Math. (Warsaw)
-
-
Vega-Amaya, O.1
-
37
-
-
0004906569
-
On a class of strategies in general Markov decision models
-
A.A. YUSHKEVICH, On a class of strategies in general Markov decision models, Theory Probab. Appl., 18 (1973), pp. 777-779.
-
(1973)
Theory Probab. Appl.
, vol.18
, pp. 777-779
-
-
Yushkevich, A.A.1
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