Control of Markov Chains with Long-Run Average Cost Criterion: The Dynamic Programming Equations

SIAM Journal on Control and Optimization ◽

10.1137/0327034 ◽

1989 ◽

Vol 27 (3) ◽

pp. 642-657 ◽

Author(s):

Vivek S. Borkar

Keyword(s):

Dynamic Programming ◽

Markov Chains ◽

Average Cost ◽

Average Cost Criterion ◽

Cost Criterion ◽

Long Run ◽

Dynamic Programming Equations

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Control of Markov Chains with Long-Run Average Cost Criterion

The IMA Volumes in Mathematics and Its Applications - Stochastic Differential Systems, Stochastic Control Theory and Applications ◽

10.1007/978-1-4613-8762-6_4 ◽

1988 ◽

pp. 57-77 ◽

Author(s):

Vivek S. Borkar

Keyword(s):

Markov Chains ◽

Average Cost ◽

Average Cost Criterion ◽

Cost Criterion ◽

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On the existence of stationary optimal policies for partially observed MDPs under the long-run average cost criterion

Systems & Control Letters ◽

10.1016/j.sysconle.2005.06.009 ◽

2006 ◽

Vol 55 (2) ◽

pp. 165-173 ◽

Author(s):

Shun-Pin Hsu ◽

Dong-Ming Chuang ◽

Ari Arapostathis

Keyword(s):

Average Cost ◽

Average Cost Criterion ◽

Cost Criterion ◽

Long Run ◽

Partially Observed ◽

Optimal Policies

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On impulsive control with long run average cost criterion

Stochastic Differential Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0044316 ◽

2006 ◽

pp. 354-360 ◽

Author(s):

Łukasz Stettner

Keyword(s):

Average Cost ◽

Impulsive Control ◽

Average Cost Criterion ◽

Cost Criterion ◽

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Controlled Semi-Markov Chains with Risk-Sensitive Average Cost Criterion

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0916-z ◽

2016 ◽

Vol 170 (2) ◽

pp. 670-686 ◽

Author(s):

Selene Chávez-Rodríguez ◽

Rolando Cavazos-Cadena ◽

Hugo Cruz-Suárez

Keyword(s):

Markov Chains ◽

Average Cost ◽

Average Cost Criterion ◽

Cost Criterion ◽

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Controlled Markov chains with risk-sensitive exponential average cost criterion

Proceedings of the 36th IEEE Conference on Decision and Control ◽

10.1109/cdc.1997.657109 ◽

2002 ◽

Author(s):

A. Brau ◽

E. Fernandez-Gaucherand

Keyword(s):

Markov Chains ◽

Average Cost ◽

Average Cost Criterion ◽

Controlled Markov Chains ◽

Cost Criterion ◽

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On impulsive control with long run average cost criterion

Studia Mathematica ◽

10.4064/sm-76-3-279-298 ◽

1983 ◽

Vol 76 (3) ◽

pp. 279-298 ◽

Author(s):

Łukasz Stettner

Keyword(s):

Average Cost ◽

Impulsive Control ◽

Average Cost Criterion ◽

Cost Criterion ◽

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Average Cost Dynamic Programming Equations For Controlled Markov Chains With Partial Observations

SIAM Journal on Control and Optimization ◽

10.1137/s0363012998345172 ◽

2000 ◽

Vol 39 (3) ◽

pp. 673-681 ◽

Author(s):

V. S. Borkar.

Keyword(s):

Dynamic Programming ◽

Markov Chains ◽

Average Cost ◽

Partial Observations ◽

Controlled Markov Chains ◽

Dynamic Programming Equations

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Controlled Markov chains with risk-sensitive average cost criterion: the non-irreducible case

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) ◽

10.1109/cdc.2001.980563 ◽

2003 ◽

Author(s):

A. Brau-Rojas ◽

E. Fernandez-Gaucherand

Keyword(s):

Markov Chains ◽

Average Cost ◽

Average Cost Criterion ◽

Controlled Markov Chains ◽

Cost Criterion ◽

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Optimal maintenance policy for degrading manufacturing systems using long-term average cost criterion

Production Planning & Control ◽

10.1080/09537281003730354 ◽

2010 ◽

Vol 22 (2) ◽

pp. 124-136 ◽

Author(s):

Jiwen Sun ◽

Lifeng Xi

Keyword(s):

Average Cost ◽

Manufacturing Systems ◽

Maintenance Policy ◽

Average Cost Criterion ◽

Cost Criterion ◽

Optimal Maintenance ◽

Optimal Maintenance Policy

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Control policies for two-stage, pull-type production/inventory systems with constrained average cost criterion

International Journal of Production Research ◽

10.1080/00207549408957055 ◽

1994 ◽

Vol 32 (9) ◽

pp. 2005-2014 ◽

Author(s):

M. B. GURSOY ◽

T. ALTIOK ◽

H. DANHONG

Keyword(s):

Average Cost ◽

Inventory Systems ◽

Two Stage ◽

Control Policies ◽

Average Cost Criterion ◽

Cost Criterion ◽

Production Inventory

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