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Titlebook: Mathematical Adventures in Performance Analysis; From Storage Systems Eitan Bachmat Book 2014 Springer International Publishing Switzerland

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发表于 2025-3-21 18:54:01 | 显示全部楼层 |阅读模式
书目名称Mathematical Adventures in Performance Analysis
副标题From Storage Systems
编辑Eitan Bachmat
视频video
概述Describes several problems in the field of performance analysis and the diverse mathematical techniques which are required for solving them.Presents applications of mathematical fields which are very
丛书名称Modeling and Simulation in Science, Engineering and Technology
图书封面Titlebook: Mathematical Adventures in Performance Analysis; From Storage Systems Eitan Bachmat Book 2014 Springer International Publishing Switzerland
描述​ This book describes problems in the field of performance analysis, primarily the study of storage systems and the diverse mathematical techniques that are required for solving them. Topics covered include best practices for scheduling I/O requests to a disk drive, how this problem is related to airplane boarding, and how both problems can be modeled using space-time geometry. Also provided is an explanation of how Riemann‘s proof of the analytic continuation and functional equation of the Riemann zeta function can be used to analyze express line queues in a minimarket. Overall, the book displays the surprising relevance of abstract mathematics that is not usually associated with applied mathematics topics. Advanced undergraduate students or graduate students with an interest in the applications of mathematics will find this book to be a useful resource. It will also be of interest to professional mathematicians who want exposure to the surprising ways that theoretical mathematics may be applied to engineering problems. To encourage further study, each chapter ends with notes pointing to various related topics that the reader may want pursue. This mathematically rigorous work was
出版日期Book 2014
关键词Lorentzian geometry; metric spaces; number theory; performance analysis; queuing theory; storage systems
版次1
doihttps://doi.org/10.1007/978-3-319-09513-4
isbn_softcover978-3-319-37705-6
isbn_ebook978-3-319-09513-4Series ISSN 2164-3679 Series E-ISSN 2164-3725
issn_series 2164-3679
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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发表于 2025-3-21 23:48:26 | 显示全部楼层
A Fractal Model for Storage System Activity,f the access pattern. The computation is based on the central limit theorem. We also compute seek times by exploiting the self-similar nature of the model. The chapter ends with an explanation of some insights on the instability of caching algorithms, coming from results in ergodic theory and dynamical systems and in particular Host’s theorem.
发表于 2025-3-22 02:50:47 | 显示全部楼层
Airplane Boarding, Disk Scheduling, and Lorentzian Geometry,ral related problems such as I/O disk scheduling. Boarding policies which we analyze include, random, back-to-front, outside-in, no overhead bin luggage first among others. We also show that the motion of the earth around the sun may be viewed as being uniformly random.
发表于 2025-3-22 06:34:39 | 显示全部楼层
发表于 2025-3-22 11:10:49 | 显示全部楼层
Eitan BachmatDescribes several problems in the field of performance analysis and the diverse mathematical techniques which are required for solving them.Presents applications of mathematical fields which are very
发表于 2025-3-22 15:43:18 | 显示全部楼层
Modeling and Simulation in Science, Engineering and Technologyhttp://image.papertrans.cn/m/image/625954.jpg
发表于 2025-3-22 18:25:49 | 显示全部楼层
978-3-319-37705-6Springer International Publishing Switzerland 2014
发表于 2025-3-23 00:49:00 | 显示全部楼层
发表于 2025-3-23 03:37:08 | 显示全部楼层
On Queues and Numbers, We then study express line queues in a more general setting, showing how the modular symmetry explains certain calculations. We end with an application of Lorentzian geometry to the study of express line queues.
发表于 2025-3-23 07:31:30 | 显示全部楼层
Book 2014at are required for solving them. Topics covered include best practices for scheduling I/O requests to a disk drive, how this problem is related to airplane boarding, and how both problems can be modeled using space-time geometry. Also provided is an explanation of how Riemann‘s proof of the analyti
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