International Journal of Nonlinear Analysis and Applications

The problem of the network flow interdiction

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Basic Sciences, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

Abstract

In this paper, we state the problem of the network flow interdiction in a set of initial and destination nodes so that each initial is capable of only delivering products to certain pre-determined destinations. The network user’s purpose is to deliver the highest value of flow from the sources to the sinks and the network interdictor’s purpose is to reduce the highest value of flow being used. In this paper, the networks flow interdiction in multi-source and multi-sink conditions are addressed in a way that the parameters of arc capacity are trapezoidal fuzzy sets.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 2
February 2024
Pages 63-70
  • Receive Date: 19 November 2022
  • Revise Date: 22 January 2023
  • Accept Date: 26 February 2023