Shortest Paths with Ordinal Weights
Data Structures and Algorithms
2018-09-07 v2 Optimization and Control
Abstract
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.
Cite
@article{arxiv.1808.09410,
title = {Shortest Paths with Ordinal Weights},
author = {Luca E. Schäfer and Tobias Dietz and Nicolas Fröhlich and Stefan Ruzika and José Rui Figueira},
journal= {arXiv preprint arXiv:1808.09410},
year = {2018}
}
Comments
24 pages, 8 figures, 2 tables