Two-dimensional cutting stock problem with flexible length and usable leftovers in the steel industry

Yunfeng Ma, Jiayi Zhang, Xijie Yang, Jihao Li, Xiaoxin Su and Haoxun Chen

European Journal of Operational Research, 2025, vol. 326, issue 2, 207-219

Abstract: In this work, we introduce a two-dimensional cutting stock problem with flexible length and usable leftovers, in which multiple objectives, including minimizing the waste area of material, the exceeding area of orders and the number of slitter adjustments, are considered simultaneously. This problem is inspired by a real-world made-to-order manufacturer of special steel plates. We propose a non-linear mathematical programming model for this problem. This model is then linearized and reinforced by symmetry-breaking inequalities and other valid inequalities. To solve this model, we propose an iterated local search algorithm, which is able to tackle large instances of the problem. Numerical results demonstrate the validity of the proposed model and the effectiveness of the iterated local search algorithm. Besides, sensitive experiments are conducted to assess the impact of different parameter settings on the objective function.

Keywords: Cutting; Flexible length; Usable leftovers; Mixed integer programming; Steel industry (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:326:y:2025:i:2:p:207-219

DOI: 10.1016/j.ejor.2025.04.036

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