A Robust Optimization Approach for the Multi-Period Strip Cutting Problem with Multi-Cutter Slitting Machines

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Veröffentlicht in:Applied Sciences vol. 15, no. 19 (2025), p. 10387-10410
1. Verfasser: Hong, Sungwon
Weitere Verfasser: Park, Jongyoon, Lee, Younsoo
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MDPI AG
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100 1 |a Hong, Sungwon  |u Department of Industrial Engineering, Seoul National University, Seoul 08826, Republic of Korea; swonhong@snu.ac.kr 
245 1 |a A Robust Optimization Approach for the Multi-Period Strip Cutting Problem with Multi-Cutter Slitting Machines 
260 |b MDPI AG  |c 2025 
513 |a Journal Article 
520 3 |a This paper studies a multi-period strip cutting problem motivated by the paper industry. The focus is on multi-cutter slitting machines, which allow the simultaneous production of items with different lengths and provide higher cutting flexibility compared to conventional single-cutter machines. We propose a pattern-based mixed-integer programming formulation to evaluate the benefits of multi-cutter machines and compare it with heuristic strategies and a single-cutter benchmark. To address demand uncertainty, we extend the model using robust optimization with budgeted uncertainty sets and derive a tractable reformulation. Computational experiments with real-world data show that multi-cutter machines can substantially reduce raw material usage costs compared to the single-cutter setting. Under demand uncertainty, the budgeted robust model provides lower realized costs and smaller variability than both deterministic and box-type robust models. 
653 |a Raw materials 
653 |a Integer programming 
653 |a Pulp & paper industry 
653 |a Linear programming 
653 |a Packing problem 
653 |a Algorithms 
653 |a Manufacturing 
653 |a Cost control 
653 |a Heuristic 
653 |a Production costs 
653 |a Inventory 
653 |a Optimization 
653 |a Flexibility 
700 1 |a Park, Jongyoon  |u College of Business Administration, Hongik University, Seoul 04066, Republic of Korea; globell@hongik.ac.kr 
700 1 |a Lee, Younsoo  |u Department of Industrial and Information Systems Engineering, Soongsil University, Seoul 06978, Republic of Korea 
773 0 |t Applied Sciences  |g vol. 15, no. 19 (2025), p. 10387-10410 
786 0 |d ProQuest  |t Publicly Available Content Database 
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