To construct 100%-asymptotic optimal inventory routing strategies

Inventory routing problem (IRP) has become a hotspot of researches on supply chain management. This paper considers infinite horizon deterministic inventory routing problems for both a two-level distribution system and a three-level distribution system. A simple region partitioning policy is designed. Based on the region partitioning policy, 100%-asymptotic optimal inventory routing strategies in the Φ strategies are constructed for the two distribution systems, respectively. The strategies proposed are better than the asymptotical sub-optimal policies suggested in the literature.