Sample path average optimality of Markov control processes with strictly unbounded cost

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

O. V E G a -a M a Y a (sonora) Sample Path Average Optimality of Markov Control Processes with Strictly Unbounded Cost

We study the existence of sample path average cost (SPAC-) optimal policies for Markov control processes on Borel spaces with strictly unbounded costs, i.e., costs that grow without bound on the complement of compact subsets. Assuming only that the cost function is lower semicontinuous and that the transition law is weakly continuous, we show the existence of a relaxed policy with “minimal” exp...

متن کامل

Optimality Inequalities for Average Cost Markov Decision Processes and the Optimality of (s, S) Policies

For general state and action space Markov decision processes, we present sufficient conditions for convergence of both the optimal discounted cost value function and policies to the corresponding objects for the average costs per unit time. We extend Schäl’s [24] assumptions, guaranteeing the existence of a solution to the average cost optimality inequalities for compact action sets, to non-com...

متن کامل

Time and Ratio Expected Average Cost Optimality for Semi-Markov Control Processes on Borel Spaces

We deal with semi-Markov control models with Borel state and control spaces, and unbounded cost functions under the ratio and the time expected average cost criteria. Under suitable growth conditions on the costs and the mean holding times together with stability conditions on the embedded Markov chains, we show the following facts: (i) the ratio and the time average costs coincide in the class...

متن کامل

On the optimality equation for average cost Markov decision processes and its validity for inventory control

As is well known, average-cost optimality inequalities imply the existence of stationary optimal policies for Markov decision processes with average costs per unit time, and these inequalities hold under broad natural conditions. This paper provides sufficient conditions for the validity of the average-cost optimality equation for an infinite state problem with weakly continuous transition prob...

متن کامل

Denumerable controlled Markov chains with average reward criterion: Sample path optimality

We consider discrete-time nonlinear controlled stochastic systems, modeled by controlled Makov chains with denumerable state space and compact action space. The corresponding stochastic control problem of maximizing average rewards in the long-run is studied. Departing from the most common position which uses expected values of rewards, we focus on a sample path analysis of the stream of states...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applicationes Mathematicae

سال: 1999

ISSN: 1233-7234,1730-6280

DOI: 10.4064/am-26-4-363-381