Solving the multi-modal transportation problem <i>via</i> the rough interval approach

This research studies a transportation problem to minimize total cost under the rough interval approximation by considering multi-modal transport framework, referred here as Multi-Modal Transportation Problem (MMTP). The parameters of MMTP are intervals, because is chosen from real-life scenario. To solve environment, we employ chance-constrained programming and expected value operator for then outline main advantages our suggested method over those existing methods. Next, propose an algorithm optimally present numerical example examine proposed technique. Finally, solution analyzed with rough-chance constrained operator.