Uncertainty Theory
Theory and Practice of Uncertain Programming
Theory and Practice of Uncertain Programming
Chance constrained maximum flow problem with fuzzy arc capacities
ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II
Network flow problems with fuzzy arc lengths
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty
Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty
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Network flow problem covers a wide range of engineering and management applications. The maximum flow problem is to find the maximum amount of flow from the source to the sink within a network. Different from the existing works, this paper investigates maximum flow problem in which all arc capacities of the network are uncertain variables. Some models of maximum flow problem with uncertain arc capacities are exhibited. And then, the algorithm for solving maximum flow problem is introduced. As an illustration, an example is provided to show the effectiveness of the algorithm.