TY  - BOOK
AU  - Bachmat,Eitan
ED  - SpringerLink (Online service)
TI  - Mathematical Adventures in Performance Analysis: From Storage Systems, Through Airplane Boarding, to Express Line Queues 
T2  - Modeling and Simulation in Science, Engineering and Technology,
SN  - 9783319095134
AV  - TA342-343 
U1  - 003.3 23
PY  - 2014///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - mathematics
KW  - Operating systems (Computers)
KW  - Information storage and retrieval systems
KW  - Global differential geometry
KW  - Number theory
KW  - Mathematics
KW  - Mathematical Modeling and Industrial Mathematics
KW  - Performance and Reliability
KW  - Information Storage and Retrieval
KW  - Number Theory
KW  - Differential Geometry
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-09513-4
ER  -