Accelerating Markovian analysis of asynchronous systems using state compression

Citation
Ag. Xie et Pa. Beerel, Accelerating Markovian analysis of asynchronous systems using state compression, IEEE COMP A, 18(7), 1999, pp. 869-888
Citations number
55
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS
ISSN journal
02780070 → ACNP
Volume
18
Issue
7
Year of publication
1999
Pages
869 - 888
Database
ISI
SICI code
0278-0070(199907)18:7<869:AMAOAS>2.0.ZU;2-O
Abstract
This paper presents a methodology to speed up the stationary analysis of la rge Markov chains that model asynchronous systems, Instead of directly work ing on the original Markov chain, we propose to analyze a smaller Markov ch ain obtained via a novel technique called state compression. Once the small er chain is solved, the solution to the original chain is obtained via a pr ocess called expansion, The method is especially powerful when the Markov c hain has a small feedback vertex set, which happens often in asynchronous s ystems that contain mostly bounded-delay components, Our experimental resul ts show that the method can yield reductions of more than an order of magni tude in CPU time and facilitate the analysis of larger systems than possibl e using traditional techniques.