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

Research output: Book/ReportBookpeer-review

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.
Original languageEnglish
Place of PublicationCham
PublisherBirkhäuser Cham
Number of pages290
ISBN (Electronic)9783319095134
ISBN (Print)9783319377056, 9783319095127
DOIs
StatePublished - Oct 2014

Publication series

NameModeling and Simulation in Science, Engineering and Technology
PublisherSpringer International Publishing
ISSN (Print)2164-3679
ISSN (Electronic)2164-3725

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