Method for the minimum cost maximum flow determining in fuzzy dynamic network with nonzero flow bounds
Alexander Vitalievich Bozhenyuk, Evgeniya Michailovna Gerasimenko, Igor Naymovich Rozenberg, Irina Perfilieva · Advances in intelligent systems research/Advances in Intelligent Systems Research · 2015
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.