@inproceedings{2444,
abstract = {We consider two core algorithmic problems for probabilistic verification: the maximal end-component decomposition and the almost-sure reachability set computation for Markov decision processes (MDPs). For MDPs with treewidth k, we present two improved static algorithms for both the problems that run in time O(n·k 2.38·2k ) and O(m·logn· k), respectively, where n is the number of states and m is the number of edges, significantly improving the previous known O(n·k·√n· k) bound for low treewidth. We also present decremental algorithms for both problems for MDPs with constant treewidth that run in amortized logarithmic time, which is a huge improvement over the previously known algorithms that require amortized linear time.},
author = {Chatterjee, Krishnendu and Ła̧Cki, Jakub},
location = {St. Petersburg, Russia},
pages = {543 -- 558},
publisher = {Springer},
title = {{Faster algorithms for Markov decision processes with low treewidth}},
doi = {10.1007/978-3-642-39799-8_36},
volume = {8044},
year = {2013},
}