Abstract

RODRIGUEZ-PUENTE, Rafael  and  LAZO-CORTES, Manuel. Shortest path search using reduced graphs. Ing. Ind. [online]. 2017, vol.38, n.1, pp.32-42. ISSN 1815-5936.

One of the widely studied ptimization problems consistsin finding shortest paths from a source to a destination. Classical algorithmsfor solving this problemare not scalable. Several approaches have been proposed, using heuristics, to reduce the run time. These approaches introduce anerrorand, consequently, they do not guaranteean optimum value inall cases. In this paper we propose agraph reductionalgorithm without loss of information, which helps to reduce the run time of algorithms. In addition, we propose a modification to the Dijkstraalgorithmto be used on reduced graphs, guaranteeing an optimalresult in all cases. Besides, a comparison between the run time of the proposed algorithms and Dijkstraand A* algorithms is presented. This comparison shows that it ispossible to obtain an optimal pathin a similar time, and even in less time, than those obtained by heuristic algorithms.

Keywords : Dijkstra algorithm; shortest path search; graph reduction.

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