Scheduling Post-Distribution Cross-Dock under Demand Uncertainty

The system of distribution of goods and services, along with other economic developments aroundthe world, is rapidly evolving. In the world of distribution of goods, the main focus is on makingdistribution operations more effective. Due to the fact that the cross-dock has the advantage ofremoving intermediaries and reducing the space required for the warehouse, it is worth considering.Among the methods of cross-docking, the post-distribution method is important in terms of uncer-tainty. Due to the importance of the issue of the post-distribution method in cross-dock, this paperaddresses the uncertainty of demand in cross-docking. For this purpose, a linear programming modelhas been developed for post-distribution cross-dock, and then solved an example by the use of themeta-heuristic whale algorithm. After that, uncertainty enters the model and the robust counterpartof the model present based on the robust optimization approach with using interval and polyhedralcollective inductive uncertainty set. The results shows the model could control the demand uncer-tainty in distance zero until 20 percent and the model does not let the changing of demand effortsconsiderably on the scheduling of the cross-docking.