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
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