An efficient bin-packing algorithm applied to packing groceries in a fulfillment center

We have tried to create a bin-packing algorithm that assigns items from a customer-order to totes such that the amount of totes is minimized. Analyzing the bin-packing algorithm that was used before this thesis had been written, taught us that xxx.xx% of the customer-orders was packed non optimal. In this thesis four algorithms are applied to Picnic data. The order in which the algorithms assign items to a tote has major consequences for the solutions. Eight different ways to order the items are combined with each algorithm, resulting in 32 different tote-calculations. Out of those 32 tote-calculations, the Best Fit Algorithm with items ordered in decreasing normalized values generates the best results. Remarkably, ordering items randomly also gives good solutions. This brought us to introducing a new method, where each customer-order is calculated at most eight times, each time shuffling the items before rerunning the algorithm and remembering the better solution. This heuristic is optimal for xxx.xx% of the customer-orders.Applied Mathematic