The Multi-vehicle Mutli-product Inventory-Routing Problem: A case study

The Multi-vehicle Mutli-product Inventory-Routing Problem (MMIRP) is one of the recent issues in Supply Chain. It is an extension of the inventory routing problems (IRP) taking into account multiple products and multiple vehicles, which is closer to real life problems. Like the IRP, the MMIRP is usually developed in the context of the “Vendor-Managed Inventory” (VMI) where the supplier manages the stock at the customer. We apply this method in a Moroccan company of bottled water in which a unique plant delivers a set of regional depots. We consider the case when all destinations are replenished with direct deliveries and we propose a mixed integer linear program to solve the problem.