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Modeling and Simulation in Science, Engineering and Technology

Mathematical Adventures in Performance Analysis

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

Authors: Bachmat, Eitan

  • ​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
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Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-09513-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-09512-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-37705-6
  • Free shipping for individuals worldwide
About this book

​ 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.   

Table of contents (5 chapters)

  • A Classical Model for Storage System Activity

    Bachmat, Eitan

    Pages 1-25

  • A Fractal Model for Storage System Activity

    Bachmat, Eitan

    Pages 27-49

  • Airplane Boarding, Disk Scheduling, and Lorentzian Geometry

    Bachmat, Eitan

    Pages 51-129

  • Mirrored Configurations

    Bachmat, Eitan

    Pages 131-161

  • On Queues and Numbers

    Bachmat, Eitan

    Pages 163-230

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-09513-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-09512-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-37705-6
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Adventures in Performance Analysis
Book Subtitle
From Storage Systems, Through Airplane Boarding, to Express Line Queues
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-09513-4
DOI
10.1007/978-3-319-09513-4
Hardcover ISBN
978-3-319-09512-7
Softcover ISBN
978-3-319-37705-6
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XI, 290
Topics