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A genetic algorithm solution for one-dimensional bundled stock cutting
Institution:1. Instituto Politécnico Nacional, UPIITA, Av. Instituto Politécnico Nacional 2580, Col. Barrio la Laguna Ticoman, Gustavo A. Madero, 07340 Ciudad de México, Mexico;2. Instituto Politécnico Nacional, CIC, Av. Juan de Dios Batiz S/N, Col. Nueva Industrial Vallejo, Gustavo A. Madero, 07738 Ciudad de México, Mexico
Abstract:This paper discusses a one-dimensional cutting stock problem in which lumber is cut in bundles. The nature of this problem is such that the traditional approaches of linear programming with an integer round-up procedure or sequential heuristics are not effective. A good solution to this problem must consider trim loss, stock usage and ending inventory levels. A genetic search algorithm is proposed and results compared to optimal solutions for an integer programming formulation of the problem.
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