@book{a92aa3094eef44d695f5f568735890d3,
title = "Safe On-The-Fly Steady-State Detection for Time-Bounded Reachability",
abstract = "The time-bounded reachability problemfor continuous-timeMarkov chains (CTMCs) amounts to determine the probability to reach a (set of) goal state(s) within a given time span, such that prior to reaching the goal certain states are avoided. Efficient algorithms for time-bounded reachability are at the heart of probabilistic model checkers such as PRISM and ETMCC. For large time spans, on-the-fly steady-state detection is commonly applied. To obtain correct results (up to a given accuracy), it is essential to avoid detecting premature stationarity. This technical report gives a detailed account of criteria for steady-state detection in the setting of time-bounded reachability. This is done for forward and backward reachability algorithms. As a spin-off of this study, new results for on-the-fly steady-state detection during CTMC transient analysis are reported. Based on these results, a precise procedure for steady-state detection for time-bounded reachability is obtained. Experiments show the impact of these results in probabilistic model checking.",
keywords = "IR-57041, METIS-248099, EWI-5724",
author = "Katoen, {Joost P.} and I.S. Zapreev",
note = "Imported from CTIT",
year = "2005",
month = nov,
language = "Undefined",
series = "CTIT Technical Report Series",
publisher = "Centre for Telematics and Information Technology (CTIT)",
number = "TR-CTIT-05-52",
address = "Netherlands",
}