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The Resource Mathematical adventures in performance analysis : from storage systems, through airplane boarding, to express line queues, Eitan Bachmat, (electronic book)

Mathematical adventures in performance analysis : from storage systems, through airplane boarding, to express line queues, Eitan Bachmat, (electronic book)

Label
Mathematical adventures in performance analysis : from storage systems, through airplane boarding, to express line queues
Title
Mathematical adventures in performance analysis
Title remainder
from storage systems, through airplane boarding, to express line queues
Statement of responsibility
Eitan Bachmat
Creator
Author
Subject
Language
eng
Summary
This monograph describes problems in the field of performance analysis, primarily the study of storage systems and the diverse mathematical techniques that are required for solving such problems. 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. The author also explains 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 reveals the surprising applicability of abstract mathematical ideas that are not usually associated with applied topics. Advanced undergraduate students or graduate students with an interest in the applications of mathematics will find this book 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 to pursue
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Bachmat, Eitan
Dewey number
003.3
Index
index present
LC call number
QA402
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Modeling and Simulation in Science, Engineering and Technology,
http://library.link/vocab/subjectName
  • System analysis
  • Mathematical Modeling and Industrial Mathematics
  • Performance and Reliability
  • Information Storage and Retrieval
  • Number Theory
  • Differential Geometry
  • SCIENCE / System Theory
  • TECHNOLOGY & ENGINEERING / Operations Research
Label
Mathematical adventures in performance analysis : from storage systems, through airplane boarding, to express line queues, Eitan Bachmat, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
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
Control code
SPR892843385
Dimensions
unknown
Extent
1 online resource (xi, 290 pages).
File format
unknown
Form of item
online
Isbn
9783319095134
Level of compression
unknown
Other control number
10.1007/978-3-319-09513-4
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Mathematical adventures in performance analysis : from storage systems, through airplane boarding, to express line queues, Eitan Bachmat, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
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
Control code
SPR892843385
Dimensions
unknown
Extent
1 online resource (xi, 290 pages).
File format
unknown
Form of item
online
Isbn
9783319095134
Level of compression
unknown
Other control number
10.1007/978-3-319-09513-4
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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