Title

An improved heuristic approach for the Steiner tree problem in graphs

Date of Completion

January 1998

Keywords

Computer Science

Degree

Ph.D.

Abstract

The Steiner problem in graphs is known to be an NP-Complete problem. Numerous heuristic approaches for solving this problem have been proposed. Most of them aim at finding the shortest path between a group of nodes and the regular node that is closest to that group. In contrast, our heuristic algorithms attempts to find the minimal distance amongst a group of nodes and the two regular nodes that are closest to the group. We compare our algorithm with a well-known heuristic algorithm and find that our solution is better. In addition, our experiments show that the accuracy of our algorithm is very close to optimal. ^ We also propose a parallel and a distributed version of our algorithms, in order to achieve speedup. In the end, we provide an interesting application for our proposed algorithms. ^