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Mathematical Adventures in Performance Analysis From Storage Systems, Through Airplane Boarding, to Express Line Queues

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 r...

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Bibliographic Details
Main Author: Bachmat, Eitan
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Series:Modeling and Simulation in Science, Engineering and Technology
Subjects:
Number Theory
Differential Geometry
Information Storage And Retrieval
Mathematical Modeling And Industrial Mathematics
Computer Software—reusability
Performance And Reliability
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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

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