Asymptotic Properties of a Finite State Continuous Time Markov Decision Process

1982 ◽  
Vol 20 (6) ◽  
pp. 884-892 ◽  
Author(s):  
Gerd Rodé
Keyword(s):  
Markov Decision Process ◽  
Continuous Time ◽  
Decision Process ◽  
Asymptotic Properties ◽  
Finite State ◽  
Markov Decision

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.

Adaptive control of M/M/1 queues—continuous-time Markov decision process approach

1983 ◽  
Vol 20 (02) ◽  
pp. 368-379
Author(s):  
Lam Yeh ◽  
L. C. Thomas
Keyword(s):  
Adaptive Control ◽  
Markov Decision Process ◽  
Markov Decision Processes ◽  
Optimal Policy ◽  
Continuous Time ◽  
Decision Process ◽  
Process Approach ◽  
Decision Processes ◽  
Markov Decision ◽  
Discounted Costs

By considering continuous-time Markov decision processes where decisions can be made at any time, we show in the case of M/M/1 queues with discounted costs that there exists a monotone optimal policy among all the regular policies.

Adaptive control of M/M/1 queues—continuous-time Markov decision process approach

1983 ◽  
Vol 20 (2) ◽  
pp. 368-379 ◽  
Author(s):  
Lam Yeh ◽  
L. C. Thomas
Keyword(s):  
Adaptive Control ◽  
Markov Decision Process ◽  
Markov Decision Processes ◽  
Optimal Policy ◽  
Continuous Time ◽  
Decision Process ◽  
Process Approach ◽  
Decision Processes ◽  
Markov Decision ◽  
Discounted Costs

By considering continuous-time Markov decision processes where decisions can be made at any time, we show in the case of M/M/1 queues with discounted costs that there exists a monotone optimal policy among all the regular policies.

Sign in / Sign up

Export Citation Format

Share Document