Roll paper slitting and scheduling optimization method and system based on non-linear integer programming

Abstract

The invention provides a roll paper slitting and scheduling optimization method and system based on non-linear integer programming, wherein, the method comprises the following steps: obtaining the roll paper specification and quantity of a customer order and all the original paper specifications and quantity to be cut; replenishing the spare specification of roll paper to limit the maximum runningtime of the system; establishing a nonlinear integer programming model to solve the nonlinear integer programming problem by using Lagrange isosurface cutting, when the global optimal solution is obtained in the maximum running time of the system, outputting the scheduling scheme and recording the running time of the system, and when the global optimal solution is not obtained, finding the optimal solution of all the solutions obtained at the end of the maximum running time of the system, and obtaining the scheduling scheme and recording the recording time, and when the feasible solution is not obtained, recalculating the supplementary standby specification until the final scheme is obtained. This method effectively improves the efficiency of solving nonlinear integer programming problemand obtains the optimal solution to the problem of paper roll slitting and production scheduling, so as to improve the work efficiency, make full use of base paper and reduce the production cost.

Description

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AI Technical Summary

Benefits of technology

This patented technology allows for efficient processing of rolled papers by combining both methods together with certain techniques like lamination or surface cuts. It also includes algorithms called LAGO (Lagrange Linear Algebra) Difference Programming which helps optimize solutions faster than traditional approaches such as linear programing alone. Overall, this approach enhances the performance and cost effectiveness of rolling paper manufacturing processes while reducing their impact on productivity.

Problems solved by technology

This patented technical problem addressed in this patents relates to improving rolling paper production planning and shaping processes through efficient use of computer systems while ensuring consistently good quality products delivered at minimum expenses. Specifically, current methods have limitations in efficiently producing low volume grades (LVG) without wasting material or requiring multiple expensive tools.

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