Method for the minimum cost maximum flow determining in fuzzy dynamic network with nonzero flow bounds
Authors
Alexander Bozhenyuk, Evgeniya Gerasimenko, Igor Rozenberg, Irina Perfilieva
Corresponding Author
Alexander Bozhenyuk
Available Online June 2015.
- DOI
- 10.2991/ifsa-eusflat-15.2015.56How to use a DOI?
- Keywords
- Fuzzy dynamic network, fuzzy minimum cost flow with nonzero lower flow bounds.
- Abstract
In this paper the method for the minimum cost flow determining in fuzzy dynamic network with nonzero lower flow bounds is proposed. Considered method takes into account fuzzy nature of networks’ parameters and deals with fuzzy arc flow bounds, fuzzy transmission costs. Fuzzy arc flow bounds, costs and transit times can vary depending on the flow departure time. The method allows introducing the notion of “fuzzy network” instead of “stationary-dynamic” network, considered in conventional flow literature. The sphere of application for considered problem is presented.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Alexander Bozhenyuk AU - Evgeniya Gerasimenko AU - Igor Rozenberg AU - Irina Perfilieva PY - 2015/06 DA - 2015/06 TI - Method for the minimum cost maximum flow determining in fuzzy dynamic network with nonzero flow bounds BT - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology PB - Atlantis Press SP - 385 EP - 392 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.56 DO - 10.2991/ifsa-eusflat-15.2015.56 ID - Bozhenyuk2015/06 ER -