-
1
-
-
0031268696
-
Ergodic control of switching diffusions
-
M. K. GHOSH, A. ARAPOSTATHIS, AND S. I. MARCUS, Ergodic control of switching diffusions, SIAM J. Control Optim., 35 (1997), pp. 1952-1988.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 1952-1988
-
-
Ghosh, M.K.1
Arapostathis, A.2
Marcus, S.I.3
-
2
-
-
0035621705
-
On positive recurrence of constrained diffusion processes
-
R. ATAR, A. BUDHIRAJA, AND P. DUPUIS, On positive recurrence of constrained diffusion processes, Ann. Probab., 29 (2001), pp. 979-1000.
-
(2001)
Ann. Probab.
, vol.29
, pp. 979-1000
-
-
Atar, R.1
Budhiraja, A.2
Dupuis, P.3
-
3
-
-
0031483366
-
Ergodic control of degenerate diffusions
-
G. K. BASAK, V. S. BORKAR, AND M. K. GHOSH, Ergodic control of degenerate diffusions, Stochastic Anal. Appl., 1 (1997), pp. 1-17.
-
(1997)
Stochastic Anal. Appl.
, vol.1
, pp. 1-17
-
-
Basak, G.K.1
Borkar, V.S.2
Ghosh, M.K.3
-
5
-
-
0030366646
-
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
-
6
-
-
1942466389
-
Optimal Control of Diffusion Processes
-
Harlow, UK
-
V. BORKAR, Optimal Control of Diffusion Processes, Longman Scientific and Technical, Harlow, UK, 1989.
-
(1989)
Longman Scientific and Technical
-
-
Borkar, V.1
-
7
-
-
0023670889
-
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
-
8
-
-
34249954253
-
Ergodic control of multidimensional diffusions. II. Adaptive control
-
V. S. BORKAR AND M. K. GHOSH, Ergodic control of multidimensional diffusions. II. Adaptive control, Appl. Math. Optim., 21 (1990), pp. 191-220.
-
(1990)
Appl. Math. Optim.
, vol.21
, pp. 191-220
-
-
Borkar, V.S.1
Ghosh, M.K.2
-
9
-
-
0033308738
-
Simple necessary and sufficient conditions for the stability of constrained processes
-
A. BUDHIRAJA AND P. DUPUIS, Simple necessary and sufficient conditions for the stability of constrained processes, SIAM J. Appl. Math., 59 (1999), pp. 1686-1700.
-
(1999)
SIAM J. Appl. Math.
, vol.59
, pp. 1686-1700
-
-
Budhiraja, A.1
Dupuis, P.2
-
11
-
-
84967758647
-
Viscosity solutions of Hamilton-Jacobi equations
-
M. G. CRANDALL AND P. L. LIONS, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 277 (1983), pp. 1-42.
-
(1983)
Trans. Amer. Math. Soc.
, vol.277
, pp. 1-42
-
-
Crandall, M.G.1
Lions, P.L.2
-
12
-
-
0002611604
-
Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons
-
J. G. DAI AND R. J. WILLIAMS, Existence and uniqueness of semimartingale reflecting Brownian motions in convex polyhedrons, Theory Probab. Appl., 40 (1995), pp. 1-40.
-
(1995)
Theory Probab. Appl.
, vol.40
, pp. 1-40
-
-
Dai, J.G.1
Williams, R.J.2
-
13
-
-
0001985427
-
On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications
-
P. DUPUIS AND H. ISHII, On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications, Stochastics, 35 (1991), pp. 31-62.
-
(1991)
Stochastics
, vol.35
, pp. 31-62
-
-
Dupuis, P.1
Ishii, H.2
-
14
-
-
84972529992
-
On oblique derivative problems for fully nonlinear second-order elliptic Pdes on domains with corners
-
P. DUPUIS AND H. ISHII, On oblique derivative problems for fully nonlinear second-order elliptic PDEs on domains with corners, Hokkaido Math. J., 20 (1991), pp. 135-164.
-
(1991)
Hokkaido Math. J.
, vol.20
, pp. 135-164
-
-
Dupuis, P.1
Ishii, H.2
-
15
-
-
18544395348
-
Convex duality and the Skorokhod Problem
-
P. DUPUIS AND K. RAMANAN, Convex duality and the Skorokhod Problem. I, II, Probab. Theory Related Fields, 2 (1999), pp. 153-195, 197-236.
-
(1999)
I, II, Probab. Theory Related Fields
, vol.2
, pp. 153-195
-
-
Dupuis, P.1
Ramanan, K.2
-
16
-
-
0034355435
-
A multiclass feedback queueing network with a regular Skorokhod problem
-
P. DUPUIS AND K. RAMANAN, A multiclass feedback queueing network with a regular Skorokhod problem, Queuing Syst. Theory Appl., 36 (2000), pp. 327-349.
-
(2000)
Queuing Syst. Theory Appl.
, vol.36
, pp. 327-349
-
-
Dupuis, P.1
Ramanan, K.2
-
17
-
-
0040114518
-
A criterion for invariant measures of Markov processes
-
P. E. ECHEVERRIA, A criterion for invariant measures of Markov processes, Z. Warsch. Verw. Gebiete., 61 (1982), pp. 1-16.
-
(1982)
Z. Warsch. Verw. Gebiete.
, vol.61
, pp. 1-16
-
-
Echeverria, P.E.1
-
18
-
-
0000585232
-
Reflected Brownian motion on an orthant
-
J. M. HARRISON AND M. I. REIMAN, Reflected Brownian motion on an orthant, Ann. Probab., 9 (1981), pp. 302-308.
-
(1981)
Ann. Probab.
, vol.9
, pp. 302-308
-
-
Harrison, J.M.1
Reiman, M.I.2
-
19
-
-
0031484861
-
Dynamic control of Brownian networks: State space collapse and equivalent workload formulation
-
J. M. HARRISON AND J. A. VAN MIEGHAM, Dynamic control of Brownian networks: State space collapse and equivalent workload formulation, Ann. Appl. Probab., 7 (1997), pp. 747-771.
-
(1997)
Ann. Appl. Probab.
, vol.7
, pp. 747-771
-
-
Harrison, J.M.1
Van Miegham, J.A.2
-
20
-
-
0001109907
-
Scheduling networks of queues: Heavy traffic analysis of a simple open network
-
J. M. HARRISON AND L. WEIN, Scheduling networks of queues: Heavy traffic analysis of a simple open network, Queuing Systems Theory Appl., 5 (1989), pp. 265-280.
-
(1989)
Queuing Systems Theory Appl.
, vol.5
, pp. 265-280
-
-
Harrison, J.M.1
Wein, L.2
-
21
-
-
0002500631
-
Brownian models of open queueing networks with homogeneous customer populations
-
J. M. HARRISON AND R. J. WILLIAMS, Brownian models of open queueing networks with homogeneous customer populations, Stoohastics, 22 (1987), pp. 77-115.
-
(1987)
Stoohastics
, vol.22
, pp. 77-115
-
-
Harrison, J.M.1
Williams, R.J.2
-
23
-
-
0002415784
-
Dynamic routing in open queuing networks: Brownian models, cut constraints and resource pooling
-
F. P. KELLY AND C. N. LAWS, Dynamic routing in open queuing networks: Brownian models, cut constraints and resource pooling, Queuing Systems Theory Appl., 13 (1993), pp. 47-86.
-
(1993)
Queuing Systems Theory Appl.
, vol.13
, pp. 47-86
-
-
Kelly, F.P.1
Laws, C.N.2
-
24
-
-
0000073325
-
Ergodic properties of recurrent diffusion processes and stabilization of the solution to the Cauchy problem for parabolic equations
-
R. Z. KHASMINSKII, Ergodic properties of recurrent diffusion processes and stabilization of the solution to the Cauchy problem for parabolic equations, Theory Probab. Appl., 5 (1960), pp. 179-196.
-
(1960)
Theory Probab. Appl.
, vol.5
, pp. 179-196
-
-
Khasminskii, R.Z.1
-
26
-
-
0002561350
-
Martingale problems for constrained Markov processes
-
J. S. Baras and V. Mirelli, eds., Springer-Verlag, New York
-
T. G. KURTZ, Martingale problems for constrained Markov processes, in Advances in Stochastic Calculus, J. S. Baras and V. Mirelli, eds., Springer-Verlag, New York, 1990, pp. 151-168.
-
(1990)
Advances in Stochastic Calculus
, pp. 151-168
-
-
Kurtz, T.G.1
-
27
-
-
0343331126
-
A control formulation for constrained Markov processes
-
Mathematics of Random Media, AMS, Providence, RI
-
T. G. KURTZ, A control formulation for constrained Markov processes, in Mathematics of Random Media, Lectures in Appl. Math., 27, AMS, Providence, RI, 1991, pp. 139-150.
-
(1991)
Lectures in Appl. Math.
, vol.27
, pp. 139-150
-
-
Kurtz, T.G.1
-
28
-
-
0032024929
-
Existence of Markov controls and characterization of optimal Markov controls
-
T. G. KURTZ AND R. H. STOCKBRIDGE, Existence of Markov controls and characterization of optimal Markov controls, SIAM J. Control Optim., 36 (1998), pp. 609-653.
-
(1998)
SIAM J. Control Optim.
, vol.36
, pp. 609-653
-
-
Kurtz, T.G.1
Stockbridge, R.H.2
-
29
-
-
1942498781
-
Stationary solutions and forward equations for controlled and singular martingale problems
-
T. G. KURTZ AND R. H. STOCKBRIDGE, Stationary solutions and forward equations for controlled and singular martingale problems, Electron. J. Probab., 6 (2001), 52 pp.
-
(2001)
Electron. J. Probab.
, vol.6
-
-
Kurtz, T.G.1
Stockbridge, R.H.2
-
30
-
-
0017949910
-
Optimality conditions for the average cost per unit time problem with a diffusion model
-
H. J. KUSHNER, Optimality conditions for the average cost per unit time problem with a diffusion model, SIAM J. Control Optim., 16 (1978), pp. 330-346.
-
(1978)
SIAM J. Control Optim.
, vol.16
, pp. 330-346
-
-
Kushner, H.J.1
-
32
-
-
0025483212
-
Routing and singular control for queuing networks in heavy traffic
-
F. MARTINS AND H. J. KUSHNER, Routing and singular control for queuing networks in heavy traffic, SIAM J. Control Optim, 28 (1990), pp. 1209-1233.
-
(1990)
SIAM J. Control Optim
, vol.28
, pp. 1209-1233
-
-
Martins, F.1
Kushner, H.J.2
-
33
-
-
84953017099
-
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II, Viscosity solutions and uniqueness
-
P.-L. LIONS, Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II, Viscosity solutions and uniqueness, Comm. Partial Differential Equations, 8 (1983), pp. 1229-1276.
-
(1983)
Comm. Partial Differential Equations
, vol.8
, pp. 1229-1276
-
-
Lions, P.-L.1
-
34
-
-
0031104117
-
Ergodic control of reflected diffusions with jumps
-
J. L. MENALDI AND M. ROBIN, Ergodic control of reflected diffusions with jumps, Appl. Math. Optim., 35 (1997), pp. 117-138.
-
(1997)
Appl. Math. Optim.
, vol.35
, pp. 117-138
-
-
Menaldi, J.L.1
Robin, M.2
-
35
-
-
0001798540
-
Processing networks with parallel and sequential tasks: Heavy traffic analysis and Brownian limits
-
V. NGUYEN, Processing networks with parallel and sequential tasks: Heavy traffic analysis and Brownian limits, Ann. Appl. Probab., 3 (1993), pp. 28-55.
-
(1993)
Ann. Appl. Probab.
, vol.3
, pp. 28-55
-
-
Nguyen, V.1
-
36
-
-
0002816593
-
A heavy traffic limit theorem for networks of queues with multiple customer types
-
W. PETERSON, A heavy traffic limit theorem for networks of queues with multiple customer types, Math. Oper. Res., 16 (1991), pp. 90-118.
-
(1991)
Math. Oper. Res.
, vol.16
, pp. 90-118
-
-
Peterson, W.1
-
37
-
-
0002800360
-
A boundary property for semimartingale reflecting Brownian motions
-
M. REIMAN AND R. J. WILLIAMS, A boundary property for semimartingale reflecting Brownian motions, Probab. Theory Related Fields, 77 (1988), pp. 87-97.
-
(1988)
Probab. Theory Related Fields
, vol.77
, pp. 87-97
-
-
Reiman, M.1
Williams, R.J.2
-
39
-
-
0042361167
-
Long-term average cost control problems for continuous time markov processes - A survey
-
M. ROBIN, Long-term average cost control problems for continuous time markov processes - A survey, Acta Appl. Math., 1 (1983), pp. 281-300.
-
(1983)
Acta Appl. Math.
, vol.1
, pp. 281-300
-
-
Robin, M.1
-
40
-
-
1942530648
-
-
Ph.D. thesis, University of Wisconsin, Madison, WI
-
R. H. STOCKBRIDGE, Time Average Control of Martingale Problems, Ph.D. thesis, University of Wisconsin, Madison, WI, 1987.
-
(1987)
Time Average Control of Martingale Problems
-
-
Stockbridge, R.H.1
|