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Phase-Type Approximations for Non-Markovian Systems: A Case Study

机译:非马尔维亚系统的相型近似:案例研究

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Non-Markovian systems are usually difficult to represent and analyse using currently available stochastic process calculi. By relying on a combination between the newly introduced process algebra PHASE and the probabilistic model checker PRISM, we examine the dynamics of one such system, which involves a collaborative text review performed by two manuscript editors, and focus on the derivation of quantitative performance measures. We find that approximating non-Markovian transitions through single Markovian transitions is fast, but inaccurate, while employing more complex phase-type approximations is somewhat slow, but considerably more precise.
机译:非马尔可维亚系统通常难以使​​用当前可用的随机过程计算来表示和分析。通过依靠新引进的过程代数和概率模型检查棱镜之间的组合来检查一个这样的系统的动态,这涉及由两个稿件编辑的协作文本审查,并专注于定量绩效措施的推导。我们发现,通过单一的马尔可夫转型近似非马尔可夫转型是快速的,但不准确,同时采用更复杂的相位型近似有点慢,但相当大的精确。

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