Abstract: Cutting and skiving patterns to be used in the production of product rolls from a master roll are selected so as to optimize trim efficiency. The product rolls have widths ordered by customers. In selecting these cutting and skiving patterns, cutting patterns that can be used to trim master rolls of the same or different dimensions in order to fill customer orders for the product rolls are generated, skiving patterns for skiving auxiliary rolls that result from trimming the master roll in order to produce the product rolls according to the customer orders are generated, and those of the generated skiving and cutting patterns that optimize trim efficiency for the production of the product rolls are selected.

Abstract: Raw rolls and/or sheets of flat sheet stock are charted by a processing system that generates charting patterns using constraint logic programming, that matches the charting patterns and available raw rolls and/or sheets of flat sheet stock, and that selects the optimal patterns from those matching charting patterns and available raw rolls and/or sheets using mixed integer linear programming.

Abstract: Paper is manufactured by receiving an order for paper, and allocating the paper order to a specific mill and allocating inventory to the order in a first linear programming optimization. Production of orders within one or more mills are sequenced using a second linear programming optimization.