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Mathematical Problems in Engineering
Volume 2014, Article ID 521386, 9 pages
Research Article

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

Department of Industrial Management, National Taiwan University of Science and Technology, Taipei 106, Taiwan

Received 29 November 2013; Accepted 25 May 2014; Published 17 June 2014

Academic Editor: Hsiao-Fan Wang

Copyright © 2014 Fu-Kwun Wang and Feng-Tai Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.