The $n$th-Order Bias Optimality for Multichain Markov Decision Processes

2008 ◽  
Vol 53 (2) ◽  
pp. 496-508 ◽  
Author(s):  
Xi-Ren Cao ◽  
Junyu Zhang
Keyword(s):  
Markov Decision Processes ◽  
Decision Processes ◽  
Markov Decision ◽  
Bias Optimality

scholarly journals Bias and Overtaking Optimality for Continuous-Time Jump Markov Decision Processes in Polish Spaces

2008 ◽  
Vol 45 (02) ◽  
pp. 417-429 ◽  
Author(s):  
Quanxin Zhu ◽  
Tomás Prieto-Rumeau
Keyword(s):  
Markov Decision Processes ◽  
Continuous Time ◽  
Optimality Criteria ◽  
Decision Processes ◽  
Polish Spaces ◽  
Overtaking Optimality ◽  
Markov Decision ◽  
Bias Optimality ◽  
Optimality Equations ◽  
Action Spaces

In this paper we study the bias and the overtaking optimality criteria for continuous-time jump Markov decision processes in general state and action spaces. The corresponding transition rates are allowed to be unbounded, and the reward rates may have neither upper nor lower bounds. Under appropriate hypotheses, we prove the existence of solutions to the bias optimality equations, the existence of bias optimal policies, and an equivalence relation between bias and overtaking optimality.

scholarly journals Bias and Overtaking Optimality for Continuous-Time Jump Markov Decision Processes in Polish Spaces

2008 ◽  
Vol 45 (2) ◽  
pp. 417-429 ◽  
Author(s):  
Quanxin Zhu ◽  
Tomás Prieto-Rumeau
Keyword(s):  
Markov Decision Processes ◽  
Continuous Time ◽  
Optimality Criteria ◽  
Decision Processes ◽  
Polish Spaces ◽  
Overtaking Optimality ◽  
Markov Decision ◽  
Bias Optimality ◽  
Optimality Equations ◽  
Action Spaces

In this paper we study the bias and the overtaking optimality criteria for continuous-time jump Markov decision processes in general state and action spaces. The corresponding transition rates are allowed to be unbounded, and the reward rates may have neither upper nor lower bounds. Under appropriate hypotheses, we prove the existence of solutions to the bias optimality equations, the existence of bias optimal policies, and an equivalence relation between bias and overtaking optimality.

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