Fundamentals of Matrix-Analytic Methods
Fundamentals of Matrix-Analytic Methods
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DOI：
10.1007/978-1-4614-7330-5
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发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
Qi-Ming He
中科院分区：
文献类型：
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作者：
Qi-Ming He
这是一本关于矩阵分析方法的教科书。在这本书中，基本理论伴随着大量的例子和练习。本书适用于科学、工程、管理、商业和金融领域的高年级本科生和研究生。此外，还收集了一些最近的事态发展。因此，本书对研究人员和实践者也有价值。Marcel F. Neuts在20世纪70年代开创了矩阵分析方法在模型研究中的应用。从那时起，矩阵分析方法已成为随机建模中不可或缺的工具，并在制造系统，电信网络，风险/保险模型，可靠性模型，库存和供应链系统的分析和设计中得到应用。矩阵分析方法的力量和流行来自于它们在随机建模中的灵活性、分析探索的能力、自然的算法思维和数值计算的易处理性。
This is a textbook focusing on matrix-analytic methods. In this book, the basic theory is accompanied by a large number of examples and exercises. The book is suitable for senior undergraduates and graduate students in science, engineering, management, business, and finance. In addition, a number of recent developments are collected. Thus, the book can also be of value to researchers and practitioners. Marcel F. Neuts pioneered matrix-analytic methods in the study of queueing models in the 1970s. Since then, matrix-analytic methods have become an indispensable tool in stochastic modeling and have found applications in the analysis and design of manufacturing systems, telecommunications networks, risk/insurance models, reliability models, and inventory and supply chain systems. The power and popularity of matrix-analytic methods come from their flexibility in stochastic modeling, capacity for analytic exploration, natural algorithmic thinking, and tractability in numerical computation.