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The Bin Packing Problem is defined as the placement of a set of different-sized items into identical bins so that the number of bins used is minimized. Specific cases of the problem vary according to the dimensions of items/bins, priority and placement constraints, and the planning horizon. The problem has important applications in Supply Chain Management, including vehicle, container, pallet or cargo loading, cutting stock and trim loss problems, packaging design, resource allocation, load balancing, scheduling, project management and financial budgeting. This study reviews various bin packing models, solution approaches, and several applications through different stages of the supply chain.