On the structural uniqueness of alternate routing schemes in non-hierarchical networks

Jaidev Kaniyil, Noriaki Hagiya, Shigeru Shimamoto, Yoshikuni Onozato, Shoichi Noguchi

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

Abstract

Structural relation between load and blocking probability of an alternate routing scheme employed in a fully connected homogeneous non-hierarchical network is already known. In this paper, we inspect the structural aspects of such a scheme when blocked messages make retrial, and when different alternate routing strategies are employed so as to overcome congestion. the model employed for analysis is based on the flow approximation. It is found that retrials push the stable equilibrium state away from the zero blocking state, thereby aggravating congestion. The alternate routing strategies accommodate the stable equilibrium state close to the zero blocking state. However, both the retrials and the alternate routing strategies do not alter the fundamental structure of the system, namely, the fold catastrophe. By solving the degenerate equation, the valve of appropriate control parameters can be obtained. According to the present model, it is only under schemes with no alternate routing that the system attains stability, in the mathematical sense of the term.

Original languageEnglish
Title of host publicationProceedings - IEEE INFOCOM
PublisherPubl by IEEE
Pages330-337
Number of pages8
ISBN (Print)0818635800
Publication statusPublished - 1993 Jan 1
EventProceedings of the 12th Annual Joint Conference of the IEEE Computer and Communications Societies - IEEE INFOCOM '93 - San Francisco, CA, USA
Duration: 1993 Mar 301993 Apr 1

Publication series

NameProceedings - IEEE INFOCOM
Volume1
ISSN (Print)0743-166X

Other

OtherProceedings of the 12th Annual Joint Conference of the IEEE Computer and Communications Societies - IEEE INFOCOM '93
CitySan Francisco, CA, USA
Period93/3/3093/4/1

ASJC Scopus subject areas

  • Computer Science(all)
  • Electrical and Electronic Engineering

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  • Cite this

    Kaniyil, J., Hagiya, N., Shimamoto, S., Onozato, Y., & Noguchi, S. (1993). On the structural uniqueness of alternate routing schemes in non-hierarchical networks. In Proceedings - IEEE INFOCOM (pp. 330-337). (Proceedings - IEEE INFOCOM; Vol. 1). Publ by IEEE.