Mathematical Adventures in Performance Analysis

From Storage Systems, Through Airplane Boarding, to Express Line Queues

Eitan Bachmat (Autor)

Buch | Softcover

XI, 290 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-37705-6 (ISBN)

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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 noted in the news section of the journal Nature, and in popular media such as New Scientist, The Wall Street Journal, The Guardian, and USA Today.

Introduction.- 1 Aclassical model for storage system activity.- 2 A fractal model forstorage system activity.- 3 Disk scheduling, airplane boarding and Lorentzian geometry.-4 Mirrored configurations.- 5 On queues and numbers.- 6 Appendix A: Some basicdefinitions and facts.- 7 Appendix B: Proofs of theorems.- References.

Erscheinungsdatum	16.09.2016
Reihe/Serie	Modeling and Simulation in Science, Engineering and Technology
Zusatzinfo	XI, 290 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Data Warehousing • Differential and Riemannian geometry • Differential Geometry • Information Retrieval • Information storage and retrieval • Lorentzian geometry • Maintenance and repairs • Mathematical Modeling and Industrial Mathematics • Mathematical Modelling • Mathematics • mathematics and statistics • Maths for engineers • Metric Spaces • Number Theory • Performance Analysis • performance and reliability • queuing theory • storage systems • systems analysis and design
ISBN-10	3-319-37705-1 / 3319377051
ISBN-13	978-3-319-37705-6 / 9783319377056
Zustand	Neuware