A First Level Scatter Search Implementation for Solving the Steiner Ring Problem in Telecommunications Network Design

  • Jie Feng Xu
  • Steve Chiu
  • Fred Glover
Part of the Combinatorial Optimization book series (COOP, volume 11)

Abstract

In this paper, we consider a combinatorial optimization problem in a graph G(V, E) where V represents the node set and E denotes the edge set. V is partitioned into two subsets V 1 and V 2, which denote the “Steiner” node set and “Target” node set respectively. Similarly, E is partitioned into sets of E 1 and E 2, where E 1 is the set of edges that join two Steiner nodes, and E 2 is the set of edges that join one Steiner node and one target node. No edges exist between two target nodes. The problem is to select a non-empty Steiner set SV 1 such that each target node must be linked to exactly one selected Steiner node. Meanwhile, all selected (active) Steiner nodes must be connected to form a Hamiltonian tour of minimum connection cost which is called Traveling Salesman (TSP) tour. The objective of the problem is to minimize the total costs (which we will describe in detail subsequently).

Keywords

Transportation Expense Boulder Kelly Mellon 

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Jie Feng Xu
    • 1
  • Steve Chiu
    • 2
  • Fred Glover
    • 3
  1. 1.Delta Technology, Inc.AtlantaUSA
  2. 2.Genuity Inc.BurlingtonUSA
  3. 3.Hearin Center for Enterprise ScienceUniversity of MississippiUSA

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