A branch and cut algorithm for a Steiner tree-star problem

Youngho Lee, Steve Y. Chiu, Jennifer Ryan

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

This paper deals with a Steiner tree-star problem that is a special case of the degree constrained node-weighted Steiner tree problem. This problem arises in the context of designing telecommunications networks for digital data service, provided by regional telephone companies. In this paper, we develop an effective branch and cut procedure coupled with a suitable separation procedure that identifies violated facets for fractional solutions to the relaxed formulation. Computational results indicate that large problem instances with up to 200 nodes can be solved within acceptable time bounds.

Original languageEnglish
Pages (from-to)194-201
Number of pages8
JournalINFORMS Journal on Computing
Volume8
Issue number3
Publication statusPublished - 1996 Dec 1
Externally publishedYes

    Fingerprint

Keywords

  • Branch and cut
  • Digital data networks
  • Node-weighted Steiner tree
  • Polyhedral structure
  • Telecommunications networks

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Management Science and Operations Research

Cite this