Multiphase until formulas over Markov reward models: An algebraic approach

ISCAS OpenIR

	Multiphase until formulas over Markov reward models: An algebraic approach
	Xu, M; Zhang, LJ; Jansen, DN; Zhu, HB; Yang, ZY
	2016
发表期刊	THEORETICAL COMPUTER SCIENCE
ISSN	0304-3975
卷号	611 页码:116-135
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.; 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
关键词	Probabilistic Model Checking Markov Reward Model Continuous Stochastic Logic Cylindrical Algebraic Decomposition Transcendental Number
部门归属	E China Normal Univ, Shanghai Key Lab Multidimens Informat Proc, Shanghai 200062, Peoples R China. E China Normal Univ, Dept Comp Sci & Technol, Shanghai 200062, Peoples R China. Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing, Peoples R China. Radboud Univ Nijmegen, Model Based Syst Dev, NL-6525 ED Nijmegen, Netherlands. E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China.
语种	英语
WOS记录号	WOS:000369211000004
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/17413
专题	中国科学院软件研究所
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.

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
1-s2.0-S030439751500（614KB）			开放获取	使用许可	请求全文