A simple approach to the two-dimensional guillotine cutting stock problem

Artikel

Cutting stock problems are within knapsack optimization problems and are considered as a non-deterministic polynomial-time (NP)-hard problem. In this paper, two-dimensional cutting stock problems were presented in which items and stocks were rectangular and cuttings were guillotine. First, a new, practical, rapid, and heuristic method was proposed for such problems. Then, the software implementation and architecture specifications were explained in order to solve guillotine cutting stock problems. This software was implemented by C++ language in a way that, while running the program, the operation report of all the functions was recorded and, at the end, the user had access to all the information related to cutting which included order, dimension and number of cutting pieces, dimension and number of waste pieces, and waste percentage. Finally, the proposed method was evaluated using examples and methods available in the literature. The results showed that the calculation speed of the proposed method was better than that of the other methods and, in some cases, it was much faster. Moreover, it was observed that increasing the size of problems did not cause a considerable increase in calculation time. In another section of the paper, the matter of selecting the appropriate size of sheets was investigated; this subject has been less considered by far. In the solved example, it was observed that incorrect selection from among the available options increased the amount of waste by more than four times. Therefore, it can be concluded that correct selection of stocks for a set of received orders plays a significant role in reducing waste.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Journal of Industrial Engineering International ; ISSN: 2251-712X ; Volume: 8 ; Year: 2012 ; Pages: 1-10 ; Heidelberg: Springer

Classification and Topics

• Classification: Management
• Subject: cutting stock problem ; trim loss ; two-dimensional cutting ; guillotine cutting

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Aryanezhad, Mir-Bahador ; Hashemi, Nima Fakhim ; Makui, Ahmad ; Javanshir, Hasan
• Event: Veröffentlichung
• (who): Springer
• (where): Heidelberg
• (when): 2012

Further information

• DOI: doi:10.1186/2251-712X-8-21
• Handle: http://hdl.handle.net/10419/78591
• Last update: 10.03.2025, 11:42 AM CET