Mathematical Adventures in Performance Ana...

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Sprache: Englisch

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Beschreibung

¿ 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.

Zusammenfassung

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 far from standard, thus providing unique links between theoretical disciplines and applied ones

Each chapter ends with notes pointing to related topics

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2014
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	304
Reihe:	Modeling and Simulation in Science, Engineering and Technology
Inhalt:	xi 290 S.
ISBN-13:	9783319095127
ISBN-10:	3319095129
Sprache:	Englisch
Herstellernummer:	86277586
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Bachmat, Eitan
Auflage:	2014
Hersteller:	Springer International Publishing Modeling and Simulation in Science, Engineering and Technology
Maße:	241 x 160 x 22 mm
Von/Mit:	Eitan Bachmat
Erscheinungsdatum:	07.10.2014
Gewicht:	0,623 kg