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An integrated cutting stock and sequencing problem
Authors:Horacio Hideki Yanasse,Maria José   Pinto Lamosa
Affiliation:1. National Space Research Center – Brazil (INPE), Special Technologies Center, Av. dos Astronautas, 1758-Jd. da Granja, CEP 12227-010, São José dos Campos, SP, Brazil;2. Aerospace Technology Command (CTA), Institute of Advanced Studies (IEAv), P.O. Box 6044, CEP 12228-970, São José dos Campos, SP, Brazil
Abstract:In this paper an integrated problem formulated as an integer linear programming problem is presented to find an optimal solution to the cutting stock problem under particular pattern sequencing constraints. The solution uses a Lagrangian approach. The dual problem is solved using a modified subgradient method. A heuristic for the integrated problem is also presented. The computational results obtained from a set of unidimensional instances that use these procedures are reported.
Keywords:Cutting   Pattern sequencing   Integrated problem   Decomposition   Lagrangian relaxation
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