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Intermodal logistics typically include the successive stages of intermodalshipment and last-mile delivery. We investigate this problem under a novelLogic-Based Benders Decomposition, which exploits the staged nature of theproblem to minimise the sum of transport costs and delivery penalties. Weestablish the validity of our decomposition and apply effective optimalitycuts. Apart from models and formal proofs, we provide extensive experimentationon random instances of considerable scale that shows the improvement achievedin terms of small gaps and shorter time compared to a monolithic MILP approach.Last, we propose a major extension of our generic method for a real logisticscase. The implementation of the extension on real instances show theversatility of our method in terms of supporting different planning approachesthus leading to actual cost improvements.

Logic-Based Benders for intermodal operations with delay penalties