An Interval Model in Interdiction Network Flow

One of the key issues raised in networks ow is its interdiction. Keshavarzi et al. scrutinized the issue with the multi-sources and multi-sinks conditions in mind while considering the specic conditions of ow being sent from sources to sinks [R. Keshavarzi et al., Multi-source-sinks network ow interdiction problem, International Journal of Academic Research, 2015]. Moreover, the matter was also examined in the state of multi-interdictors and a practical solution was presented [Keshavarzi and, Salehi, Multi commodity multi source-sinks network ow interdiction problem with several interdictors, Journal of Engineering and Applied Sciences, 2015]. In this paper, the networks ow interdiction in multi-source and multi-sink conditions was addressed; meanwhile, bearing in mind the uncertain data (from a specied beginning to an ending interval), an optimal interval was presented. Finally, a numerical example for this issue was provided and then solved by the program "Lingo".