An Interval Model in Interdiction Network Flow

One of the key issues raised in networks flow is its interdiction. Keshavarzi ‎et al. ‎scrutinized the issue with the multi-sources and multi-sinks conditions in mind while considering the specific conditions of flow being sent from sources to sinks ‎[R. Keshavarzi ‎et al.‎, Multi-source-sinks network flow interdiction problem, ‎International Journal of Academic Research,‎ ۲۰۱۵]. 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 flow interdiction problem with several interdictors, ‎Journal of Engineering and Applied Sciences,‎ ۲۰۱۵]‎. In this paper, the networks flow interdiction in multi-source and multi-sink conditions was addressed; meanwhile, bearing in mind the uncertain data (from a specified 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"‎.‎