Simultaneous Cutting of Master Reels and Stocked Rolls in Solving Trim Loss Minimization Problem at Paper Mill

Several studies have found methods of optimizing order allocation and trim loss in paper industry. However, the resulting solution may not be adoptable due to some widths of stocked rolls exceed or less than those required for acceptable scheduling. To meet actual customer demand and better suitability of results, a new decision model has been presented which can be used for simultaneous cutting of master reels and stocked rolls with limitation on cutting blades at winder. The objective is to fulfill customer need using minimum possible number of master reels and stocked rolls. The problem is solved by simplex method which generally leads to non-integer optimal solution. Phase-II is solved by a new method to make the final solution integer using binary programming. Mathematical and decision models are given and a numerical example has been solved to illustrate the applicability of proposed method.