Abstract/Details

On rational approximation and its applications


2003 2003

Other formats: Order a copy

Abstract (summary)

We are encountering more and more rare event probability problems as we move toward the information age. When systems are large or complex, it takes tremendous computing resources to solve these problems. Typically, it is easy to get simulation results at high probability values and these system functions usually have nice properties.

These opens the door for the application of rational approximation algorithms. Rational approximation has been applied in quite a few performance evaluation problems in communication/computer systems. This dissertation further extends the research in this area. We first used several benchmark problems to verify the effectiveness of rational approximation algorithm. Then rational approximation based algorithms are developed to solve some problems in the networking area, such as the blocking probability analysis of optical networks and the reliability analysis of networks. When dealing with these problems, extensive experiments have been carried out to give convincing results. Our results indicate that rational approximation method is promising for applications in many areas. We also developed a method to estimate the error of rational approximants when there exist errors in the interpolation points.

Indexing (details)


Subject
Electrical engineering
Classification
0544: Electrical engineering
Identifier / keyword
Applied sciences, Networks, Rational approximation, Routing
Title
On rational approximation and its applications
Author
Xiong, Jintao
Number of pages
111
Publication year
2003
Degree date
2003
School code
0118
Source
DAI-B 64/01, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780493997551, 0493997555
Advisor
Gong, Weibo
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3078728
ProQuest document ID
305321084
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305321084
Access the complete full text

You can get the full text of this document if it is part of your institution's ProQuest subscription.

Try one of the following:

  • Connect to ProQuest through your library network and search for the document from there.
  • Request the document from your library.
  • Go to the ProQuest login page and enter a ProQuest or My Research username / password.