Optimizing Inventory Routing in Maritime Logistics: A Review of Modelling Approaches and Solution Methods

The Maritime Inventory Routing Problem (MIRP) examines how to optimize inventory management and product delivery routing for maritime transportation. This paper reviews the key considerations in modeling the MIRP and the algorithms used to derive solutions. The constraints and complexities of maritime logistics are discussed. Mathematical formulations including deterministic, stochastic, and robust models are compared. Exact, heuristic, and metaheuristic solution methods from the literature are analyzed. Recommendations are provided on suitable MIRP models and solution techniques based on problem characteristics. The analysis indicates that hybrid metaheuristics combining swarm intelligence and local search provide a good balance of solution quality and computational effort for many MIRP variants. However, no single approach dominates, and the choice of modeling and solution method should consider trade-offs between optimization objectives, problem scale, and uncertainty. This review synthesizes current knowledge and best practices to guide further research. The paper provides insights for academics studying optimization in maritime logistics and practitioners seeking to improve operational efficiency.