Off-campus UMass Amherst users: To download dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.
Non-UMass Amherst users, please click the view more button below to purchase a copy of this dissertation from Proquest.
(Some titles may also be available free of charge in our Open Access Dissertation Collection, so please check there first.)
Rational interpolation for performance analysis
The rational interpolation (RI) method has been developed to become an efficient tool for performance analysis. In this dissertation, through a number of applications drawn from real-time reliability systems, statistical multiplexers, randomized algorithms and communications systems, we have further investigated the effectiveness of the RI approach. Most of the examples considered here are difficult or infeasible for the existing evaluation techniques, due to their computational complexity in analysis and/or simulations. For the evaluation of probability integrals, which are suitable for modeling many detection systems, a general scheme for constructing RI has been proposed and demonstrated through numerical examples. In addition, a more complete RI convergence theory has been developed, including new results on RI for functions with integer-valued arguments.
Liu, Chang, "Rational interpolation for performance analysis" (2000). Doctoral Dissertations Available from Proquest. AAI9978521.