A multi-objective vibration damping meta-heuristic algorithm for multi-objective p-robust supply chain problem with travel time

The supply chain network design has a crucial role in decreasing total transportation cost. on the other hand, the value of some effective parameters, such as established facilities cost and demand, often is uncertain. in this regard, a multi-objective multi-commodity scenario-based supply chain model in the presence of disaster is proposed. minimizing the probability of travel time exceeded at a pre-specific threshold value in different scenarios is defined as the objective function. in addition, failure probability and budget constraint can be considered as other innovations of this paper. a multi-objective vibration damping optimization (movdo) algorithm is developed to solve large-scale instances of the presented problem. the obtained results show that a 75-node network can be solved.