On the bicriterion - minimal cost/minimal label - spanning tree problem

João C.N. Clímaco, M. Eugénia Captivo and Marta M.B. Pascoal

European Journal of Operational Research, 2010, vol. 204, issue 2, 199-205

Abstract: We address a bicriterion spanning tree problem relevant in some application fields such as telecommunication networks or transportation networks. Each edge is assigned with a cost value and a label (such as a color). The first criterion intends to minimize the total cost of the spanning tree (the summation of its edge costs), while the second intends to get the solution with a minimal number of different labels. Since these criteria, in general, are conflicting criteria we developed an algorithm to generate the set of non-dominated spanning trees. Computational experiments are presented and results discussed.

Keywords: Spanning; tree; Minimal; cost; Minimal; label; Multi-objective; decision; making (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:204:y:2010:i:2:p:199-205

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