Flexible Stock Allocation and Trim Loss Control for Cutting Problem in the Industrial-Use Paper Production

Abstract

We consider a one-dimensional cutting stock problem (CSP) in which the stock widths are not used to fulfill the order but kept for use in the future for the industrial-use paper production. We present a new model based on the flexible stock allocation and trim loss control to determine the production quantity. We evaluate our approach using a real data and show that we are able to solve industrial-size problems, while also addressing common cutting considerations such as aggregation of orders, multiple stock widths, and cutting different patterns on the same machine. In addition, we compare our model with others, including trim loss minimization problem (TLMP) and cutting stock problem (CSP). The results show that the proposed model outperforms the other two models regarding total flexibility and trim loss ratio.

A Description of Supply Chain Planning Problems in the Paper Industry with Literature Review

“…Correia et al (2012) extend the model of Correia et al (2004) with multiple machines under consideration of sequence dependency. Wang and Liu (2014a), Wang and Liu (2014b) and Liu (2014) study the onedimensional cutting stock problem as well. Wang and Liu (2014a) address the topic of inventory quantity and builds additional restrictions regarding inventory level in the model.…”

“…Wang and Liu (2014a), Wang and Liu (2014b) and Liu (2014) study the onedimensional cutting stock problem as well. Wang and Liu (2014a) address the topic of inventory quantity and builds additional restrictions regarding inventory level in the model. Wang and Liu (2014b) use flexibility maximization problem for solving the cutting stock problem and present comparisons with other solution methods.…”