Title
D Symblicit Algorithms For Optimal Strategy Synthesis In Monotonicmarkov Decision Processes
Abstract
When treating Markov decision processes (MDPs) with large state spaces, using explicit representations quickly becomes unfeasible. Lately, Wimmer et al. have proposed a so-called symblicit algorithm for the synthesis of optimal strategies in MDPs, in the quantitative setting of expected mean-payoff. This algorithm, based on the strategy iteration algorithm of Howard and Veinott, efficiently combines symbolic and explicit data structures, and uses binary decision diagrams as symbolic representation. The aim of this paper is to show that the new data structure of pseudo-antichains (an extension of antichains) provides another interesting alternative, especially for the class of monotonic MDPs. We design efficient pseudo-antichain based symblicit algorithms (with open source implementations) for two quantitative settings: the expected mean-payoff and the stochastic shortest path. For two practical applications coming from automated planning and LTL synthesis, we report promising experimental results w.r.t. both the run time and the memory consumption.
Year
DOI
Venue
2014
10.4204/EPTCS.157.8
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE
DocType
Issue
ISSN
Journal
157
2075-2180
Citations 
PageRank 
References 
3
0.39
19
Authors
3
Name
Order
Citations
PageRank
Aaron Bohy1743.21
Véronique Bruyère242943.59
Jean-François Raskin31735100.15