A greedy heuristic for the capacitated minimum spanning tree problem

M. Kritikos () and G. Ioannou
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M. Kritikos: Athens University of Economics and Business
G. Ioannou: Athens University of Economics and Business

Journal of the Operational Research Society, 2017, vol. 68, issue 10, 1223-1235

Abstract: Abstract This paper develops a greedy heuristic for the capacitated minimum spanning tree problem (CMSTP), based on the two widely known methods of Prim and of Esau–Williams. The proposed algorithm intertwines two-stages: an enhanced combination of the Prim and Esau–Williams approaches via augmented and synthetic node selection criteria, and an increase of the feasible solution space by perturbing the input data using the law of cosines. Computational tests on benchmark problems show that the new heuristic provides extremely good performance results for the CMSTP, justifying its effectiveness and robustness. Furthermore, excluding the feasible space expansion, we show that we can still obtain good quality solutions in very short computational times.

Keywords: capacitated minimum spanning tree problem; Esau-Williams heuristic; Prim’s algorithm (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1057/s41274-016-0146-7

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