A stochastic multi-period capacitated multiple allocation hub location problem: Formulation and inequalities ☆

•Multi-period multiple allocation hub location problem with uncertain flows.•Uncertainty described by a finite set of scenarios.•Hubs have modular capacities.•Valid inequalities are proposed to enhance the problem deterministic equivalent in its extensive form.•Numerical study evaluating the relevance of using a stochastic approach and the impact of the valid inequalities.