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

• Main Author: Bachmat, Eitan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Series: Modeling and Simulation in Science, Engineering and Technology,
• Subjects: Mathematics.; Computer software > Reusability.; Information storage and retrieval.; Mathematical models.; Differential geometry.; Number theory.; Mathematical Modeling and Industrial Mathematics.; Performance and Reliability.; Information Storage and Retrieval.; Number Theory.; Differential Geometry.

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...

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.