Steiner Tree Problem in Graphs and Mixed Integer Linear Programming-Based Approach in GAMS

Author:

Seda Milos1

Affiliation:

1. Institute of Automation and Computer Science Brno University of Technology Technick´a 2, 616 69 Brno CZECH REPUBLIC

Abstract

The Steiner tree problem in graphs involves finding a minimum cost tree which connects a defined subset of the vertices. This problem generalises the minimum spanning tree problem, in contrast, it is NP-complete and is usually solved for large instances by deterministic or stochastic heuristic methods and approximate algorithms. In this paper, however, we focus on a different approach, based on the formulation of a mixed integer programming model and its modification for solving in the professional optimization tool GAMS, which is now capable of solving even large instances of problems of exponential complexity.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Computer Science

Reference27 articles.

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