Numerical Analysis Methods

Numerical Analysis Methods
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数值分析方法

DOI:
10.1007/3-540-46506-5_15
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发表时间:
2000
期刊:
IEEE Trans. Software Eng.
影响因子:
--
通讯作者:
W. Stewart
W. Stewart
中科院分区:
--
文献类型:
--
作者:
W. Stewart

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在性能评估(PE)的背景下,数值分析方法是指那些与被评估系统的马尔可夫链表示一起工作的方法,并使用数值分析领域的技术来计算平稳和/或瞬态概率或其他感兴趣的度量。从阅读本书中可以明显看出,使用数学模型来分析复杂系统有着悠久的历史。随着高性能工作站和廉价内存的出现,这些应用程序得到了极大的扩展。然而,越来越多的情况是,待建模系统的特性使得解析解不存在或未知,因此系统工程师转向计算数值解而不是解析解。
In the context of Performance Evaluation (PE), numerical analysis methods refer to those methods which work with a Markov chain representation of the system under evaluation and use techniques from the domain of numerical analysis to compute stationary and/or transient state probabilities or other measures of interest. As is evident from reading through this book, the use of mathematical models to analyze complex systems has a long history. With the advent of high powered workstations and cheap memory, these applications have greatly expanded. More and more frequently, however, the characteristics of the system to be modeled are such that analytical solutions do not exist or are unknown so that systems engineers turn to computing numerical solutions rather than analytical solutions.