| Issue |
MATEC Web Conf.
Volume 200, 2018
International Workshop on Transportation and Supply Chain Engineering (IWTSCE’18)
|
|
|---|---|---|
| Article Number | 00003 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/matecconf/201820000003 | |
| Published online | 14 September 2018 | |
Persistent Homology applied to location problems
Faculty of Sciences, Research Center CeReMAR, Mohammed V University in Rabat, Morocco
a driss.bennis@um5.ac.ma
b fouad.gharib1994@gmail.com
c ghitaa.lebbar@gmail.com
Different approaches to solve location problems in transport and logistics have been developed in the literature. This article introduces a new approach using the concept of persistent homology which has been proved to be an efficient method in topological data analysis; and has been served as an alternative new tool in many and various research areas such as image processing, material science and biological systems. Precisely, inspired by the notions of the first homology groups and the persistent homology which mainly describe the behaviour of connectivity relation between elements during a filtration of specific topological spaces; we develop a new method and approach for the treatment of facility location–network design problems.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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