An estimate of the objective function optimum for the network Steiner problem

Kirzhner V., Volkovich Z., Ravve E., Weber G. -.

ANNALS OF OPERATIONS RESEARCH, cilt.238, ss.315-328, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 238
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s10479-015-2068-1
  • Dergi Adı: ANNALS OF OPERATIONS RESEARCH
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.315-328
  • Anahtar Kelimeler: Spanning tree, Steiner tree, Steiner problem
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A complete weighted graph, G(X, Gamma, W), is considered. Let (X) over tilde subset of X be some subset of vertices and, by definition, a Steiner tree is any tree in the graph G such that the set of the tree vertices includes set (X) over tilde. The Steiner tree problem consists of constructing the minimum-length Steiner tree in graph G, for a given subset of vertices (X) over tilde The effectively computable estimate of the minimal Steiner tree is obtained in terms of the mean value and the variance over the set of all Steiner trees. It is shown that in the space of the lengths of the graph edges, there exist some regions where the obtained estimate is better than the minimal spanning tree-based one.