rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Mathematical Adventures in Performance Analysis
    sub title: From Storage Systems, Through Airplane Boarding, to Express Line Queues
  name:
    name part: Bachmat, Eitan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 290 p. online resource.
  abstract: 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.
  table of 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.
  note: by Eitan Bachmat.
  subject:
    topic: Mathematics
  subject:
    topic: Computer software
    topic: Reusability
  subject:
    topic: Information storage and retrieval
  subject:
    topic: Mathematical models
  subject:
    topic: Differential geometry
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Modeling and Industrial Mathematics
  subject:
    topic: Performance and Reliability
  subject:
    topic: Information Storage and Retrieval
  subject:
    topic: Number Theory
  subject:
    topic: Differential Geometry
  classification: TA342-343
  classification: 003.3
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Modeling and Simulation in Science, Engineering and Technology
  identifier: 9783319095134
  identifier: http://dx.doi.org/10.1007/978-3-319-09513-4
  record info:
    record creation date: 140922
    record change date: 20151031151101.0
    record identifier: 978-3-319-09513-4