The simplex method is strongly polynomial for deterministic Markov decision processes. Post, I. & Ye, Y. In Symposium of Discrete Algorithms (SODA), pages 1465-1473, 2013.
bibtex   
@inproceedings{PY13,
	Author = {Ian Post and Yinyu Ye},
	Booktitle = {Symposium of Discrete Algorithms (SODA)},
	Date-Added = {2014-11-14 04:20:35 +0000},
	Date-Modified = {2014-11-14 04:20:49 +0000},
	Pages = {1465-1473},
	Title = {The simplex method is strongly polynomial for deterministic Markov decision processes},
	Year = {2013}}

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