Mathematical Adventures in Performance Analysis

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

  • Eitan Bachmat

Table of contents

  1. Front Matter
    Pages i-xi
  2. Eitan Bachmat
    Pages 131-161
  3. Eitan Bachmat
    Pages 163-230
  4. Back Matter
    Pages 231-290

About this book


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.


Lorentzian geometry metric spaces number theory performance analysis queuing theory storage systems

Authors and affiliations

  • Eitan Bachmat
    • 1
  1. 1.Department of Computer ScienceBen-Gurion UniversityBeer ShevaIsrael

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-09512-7
  • Online ISBN 978-3-319-09513-4
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • About this book