Supply chain management is concerned with the efficient integration of interconnected entities so that products are sourced, manufactured and distributed in the right quantities, to the right locations and at the right time, thus satisfying customer requirements at minimal total system cost. Such systems face complexity due to the multiple material and information flows. In this context, the Process System Engineering (PSE) community has an important role to play in addressing such complexity. Departing from a real-world process supply chain, the industrial gas supply chain, while considering existing PSE contributions, this paper discusses challenges in terms or modeling and implementation. This work also presents perspectives in supply chain management from the industrial and academic standpoints that ought to be explored by the PSE community.