The average cost optimality equation for Markov control processes on Borel spaces

1994 ◽  
Vol 22 (5) ◽  
pp. 351-357 ◽  
Author(s):  
Raúl Montes-de-Oca
Keyword(s):  
Average Cost ◽  
Optimality Equation ◽  
Control Processes ◽  
Average Cost Optimality Equation ◽  
Markov Control Processes ◽  
Markov Control ◽  
Cost Optimality

scholarly journals Explicit Solution of the Average-Cost Optimality Equation for a Pest-Control Problem

2011 ◽  
Vol 2011 ◽  
pp. 1-11
Author(s):  
Epaminondas G. Kyriakidis
Keyword(s):  
Optimal Control ◽  
Markov Decision Process ◽  
Pest Control ◽  
Continuous Time ◽  
Decision Process ◽  
Average Cost ◽  
Optimality Equation ◽  
Markov Decision ◽  
Average Cost Optimality Equation ◽  
Cost Optimality

We introduce a Markov decision process in continuous time for the optimal control of a simple symmetrical immigration-emigration process by the introduction of total catastrophes. It is proved that a particular control-limit policy is average cost optimal within the class of all stationary policies by verifying that the relative values of this policy are the solution of the corresponding optimality equation.

Semi-Markov Control Processes with Unknown Holding Times Distribution Under an Average Cost Criterion

2009 ◽  
Vol 61 (3) ◽  
pp. 317-336 ◽  
Author(s):  
Fernando Luque-Vásquez ◽  
J. Adolfo Minjárez-Sosa ◽  
Luz del Carmen Rosas-Rosas
Keyword(s):  
Average Cost ◽  
Average Cost Criterion ◽  
Control Processes ◽  
Cost Criterion ◽  
Markov Control Processes ◽  
Markov Control
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