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Two-dimensional Multiple Stock Size Cutting Stock Problem (MSS2DCSP) is an optimization problem in determining the optimal cutting pattern of materials with length and width variables. The optimal cutting pattern is needed to minimize the number of materials used. This research implemented the pattern generation algorithm to generate Gilmore and Gomory models on every variation of material size. The first stage generated the pattern based on the length, followed by a pattern generated based on the width on the next stage. Then, Gilmore and Gomory models were generated according to the size of the material, where the Gilmore and Gomory model constraints ensured that strips cut in the first stage cutting were used in the second stage cutting and met all product requirements. The Branch and Bound method were used to determine the minimum size of the material sheets needed.

Gilmore and gomory model on two dimensional multiple stock size cutting stock problem