Optimality conditions in preference-based spanning tree problems

We investigate the single-source-single-destination "shortest" paths problem in acyclic graphs with ordinal weighted arc costs. We define the concepts of ordinal dominance and efficiency for paths and their associated ordinal levels, respectively. Further, we show that the number of ordinally non-dominated paths vectors from the source node to every other node in the graph is polynomially bounded and we propose a polynomial time labeling algorithm for solving the problem of finding the set of ordinally non-dominated paths vectors from source to sink.

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Optimality conditions in preference-based spanning tree problems

Cited by 2 publications

References 11 publications

Empirical study of exact algorithms for the multi-objective spanning tree

Empirical study of exact algorithms for the multi-objective spanning tree

Shortest paths with ordinal weights

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