We establish the average cost optimality equation and show the existence of an (ε-)optimal stationary policy for semi-Markov control processes without compactness and continuity assumptions. The only condition we impose on the model is the V-geometric ergodicity of the embedded Markov chain governed by a stationary policy.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am36-1-3, author = {Anna Ja\'skiewicz}, title = {Semi-Markov control processes with non-compact action spaces and discontinuous costs}, journal = {Applicationes Mathematicae}, volume = {36}, year = {2009}, pages = {29-42}, zbl = {1173.60028}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-1-3} }
Anna Jaśkiewicz. Semi-Markov control processes with non-compact action spaces and discontinuous costs. Applicationes Mathematicae, Tome 36 (2009) pp. 29-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-1-3/