A two-stage approach to agile pharmaceutical supply chain management with product substitutability in crises

•Presenting a new model for the pharmaceutical supply chain (PCS) in crisis.•Developing a new objective in the PSC to maximize the social satisfaction.•Considering an online phase to update the plans in a case of any disruption.•Considering perishability and substitutability of drugs in the mathematical model.•Validating the mathematical model with a case study in Seattle, USA.