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Solving binary cutting stock problems by column generation and branch-and-bound
Authors:Pamela H Vance  Cynthia Barnhart  Ellis L Johnson  George L Nemhauser
Institution:(1) School of Industrial and Systems Engineering, Georgia Institute of Technology, 30332-0205 Atlanta, Georgia
Abstract:We present an algorithm for the binary cutting stock problem that employs both column generation and branch-and-bound to obtain optimal integer solutions. We formulate a branching rule that can be incorporated into the subproblem to allow column generation at any node in the branch-and-bound tree. Implementation details and computational experience are discussed.This research was supported by NSF and AFOSR grant DDM-9115768
Keywords:column generation  cutting stock problem  branch-and-bound
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