DocumentCode
3004532
Title
Residuated pairs in network analysis
Author
Baohua, Fan ; Heying, Zhang ; Wenhua, Dou
Author_Institution
Sch. of Comput., Nat. Univ. of Defense Technol., Changsha, China
fYear
2009
fDate
8-10 Oct. 2009
Firstpage
892
Lastpage
895
Abstract
Computer network can be analyzed linearly by idempotent system theory, residuation theory is one of main analyzing tools for idempotent mathematics. In this paper, we study the residuated function pairs that can be used in network modeling and analyzing, the basic properties of these pairs are obtained, and we also study their applications in network analysis. Our research shows that residuation theory is useful in computer network analysis especially in network calculus theory.
Keywords
calculus; computer networks; network analysis; telecommunication network topology; computer network; idempotent mathematics; idempotent system theory; network analysis; network calculus theory; network modeling; residuated pairs; residuation theory; Algebra; Application software; Calculus; Computational geometry; Computer networks; Convolution; Deconvolution; Mathematics; Network servers; Telecommunication traffic; convolution; dioid; residuated pairs; residuation theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Communications, 2009. APCC 2009. 15th Asia-Pacific Conference on
Conference_Location
Shanghai
Print_ISBN
978-1-4244-4784-8
Electronic_ISBN
978-1-4244-4785-5
Type
conf
DOI
10.1109/APCC.2009.5375461
Filename
5375461
Link To Document