Bisimulation for Communicating Piecewise Deterministic Markov Processes (CPDPs)
Bisimulation for Communicating Piecewise Deterministic Markov Processes (CPDPs)
复制标题
用于通信分段确定性马尔可夫过程 (CPDP) 的互模拟
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
A. Schaft
中科院分区：
文献类型：
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作者：
S. Strubbe;A. Schaft
CPDP（Communicating Piecewise Deterministic Markov Processes）可以用于由PDP（Piecewise Deterministic Markov Processes）形成的随机混合过程类的系统的组合规范。定义了CPDP和CPDP的合成，证明了CPDP类在合成下是闭的。然后，我们引入了互模拟的概念的PDP和CPDP，我们证明了双相似的PDP以及双相似的CPDP具有相同的随机行为。最后，作为主要结果，我们证明了同余属性，对于一个复合CPDP，替代组件不同，但bisimilized组件的结果在CPDP是bisimilized到原来的复合CPDP（因此具有平等的随机行为）。
CPDPs (Communicating Piecewise Deterministic Markov Processes) can be used for compositional specification of systems from the class of stochastic hybrid processes formed by PDPs (Piecewise Deterministic Markov Processes). We define CPDPs and the composition of CPDPs, and prove that the class of CPDPs is closed under composition. Then we introduce a notion of bisimulation for PDPs and CPDPs and we prove that bisimilar PDPs as well as bisimilar CPDPs have equal stochastic behavior. Finally, as main result, we prove the congruence property that, for a composite CPDP, substituting components by different but bisimilar components results in a CPDP that is bisimilar to the original composite CPDP (and therefore has equal stochastic behavior).