Complexity of gradient projection method for optimal routing indata networks

W. K. Tsai, J. K. Antonio, Garng Morton Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Derives a time complexity bound for the gradient projection method for optimal routing in data networks. This result shows that the gradient projection algorithm of the Goldstein-Levitin-Poljak type formulated by Bertsekas (1982) converges to within s in relative accuracy in O (ε 2h min-N max L) iterations, where N max L is the number of paths sharing the maximally shared link, and h min is the diameter of the network. Based on this complexity result, the authors also show that the one-source-at-a-time update policy has a complexity bound which is O(n) times smaller than that of the all-at-a-time update policy [Bertsekas, 1982], where n is the number of nodes in the network. The result of the paper argues for constructing networks with low diameter for the purpose of reducing the complexity of the network control algorithms. The result also implies that parallelizing the optimal rotating algorithm over the network nodes is beneficial

Original languageEnglish
Title of host publicationINFOCOM'95 - 14th Annual Joint Conference of the IEEE Computer and Communications Societies
Pages269-277
Number of pages9
Volume1
DOIs
Publication statusPublished - 1 Dec 1995
Externally publishedYes
EventINFOCOM'95 - 14th Annual Joint Conference of the IEEE Computer and Communications Societies - Boston, MA, United States
Duration: 2 Apr 19956 Apr 1995

Other

OtherINFOCOM'95 - 14th Annual Joint Conference of the IEEE Computer and Communications Societies
CountryUnited States
CityBoston, MA
Period2/4/956/4/95

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ASJC Scopus subject areas

  • Computer Science(all)
  • Electrical and Electronic Engineering

Cite this

Tsai, W. K., Antonio, J. K., & Huang, G. M. (1995). Complexity of gradient projection method for optimal routing indata networks. In INFOCOM'95 - 14th Annual Joint Conference of the IEEE Computer and Communications Societies (Vol. 1, pp. 269-277). [515885] https://doi.org/10.1109/INFCOM.1995.515885