中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Multiphase until formulas over Markov reward models: An algebraic approach

文献类型:期刊论文

作者Xu, M ; Zhang, LJ ; Jansen, DN ; Zhu, HB ; Yang, ZY
刊名THEORETICAL COMPUTER SCIENCE
出版日期2016
卷号611页码:116-135
关键词Probabilistic model checking Markov reward model Continuous stochastic logic Cylindrical algebraic decomposition Transcendental number
ISSN号0304-3975
中文摘要We consider the probabilistic model checking problem of continuous-time Markov chains with rewards. We first extend multiphase until formulas in continuous stochastic logic (CSL) with reward constraints. Then we present an effective integral-style algorithm to compute the probability under the assumption of harmony, and give upper and lower bounds of the probability without this assumption. Furthermore, the resulting probability value (or its upper and lower bounds) is shown to be a real number of a well-formed structure, with which we can successfully (or partially) decide whether the constraints in the CSL formula are satisfied. Our method is entirely based on algebraic manipulations and number theory. Finally, to show the practical usefulness, we apply the results to evaluate the performance of a small multi-processor system. (C) 2015 Elsevier B.V. All rights reserved.
英文摘要We consider the probabilistic model checking problem of continuous-time Markov chains with rewards. We first extend multiphase until formulas in continuous stochastic logic (CSL) with reward constraints. Then we present an effective integral-style algorithm to compute the probability under the assumption of harmony, and give upper and lower bounds of the probability without this assumption. Furthermore, the resulting probability value (or its upper and lower bounds) is shown to be a real number of a well-formed structure, with which we can successfully (or partially) decide whether the constraints in the CSL formula are satisfied. Our method is entirely based on algebraic manipulations and number theory. Finally, to show the practical usefulness, we apply the results to evaluate the performance of a small multi-processor system. (C) 2015 Elsevier B.V. All rights reserved.
收录类别SCI
语种英语
WOS记录号WOS:000369211000004
公开日期2016-12-13
源URL[http://ir.iscas.ac.cn/handle/311060/17413]  
专题软件研究所_软件所图书馆_期刊论文
推荐引用方式
GB/T 7714
Xu, M,Zhang, LJ,Jansen, DN,et al. Multiphase until formulas over Markov reward models: An algebraic approach[J]. THEORETICAL COMPUTER SCIENCE,2016,611:116-135.
APA Xu, M,Zhang, LJ,Jansen, DN,Zhu, HB,&Yang, ZY.(2016).Multiphase until formulas over Markov reward models: An algebraic approach.THEORETICAL COMPUTER SCIENCE,611,116-135.
MLA Xu, M,et al."Multiphase until formulas over Markov reward models: An algebraic approach".THEORETICAL COMPUTER SCIENCE 611(2016):116-135.

入库方式: OAI收割

来源:软件研究所

浏览0
下载0
收藏0
其他版本

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。