In situ column generation for a cutting-stock problem
نویسندگان
چکیده
منابع مشابه
In situ column generation for a cutting-stock problem
Working with an integer bilinear programming formulation of a one-dimen-sional cutting-stock problem, we develop an ILP-based local-search heuristic. The ILPs holistically integrate the master and subproblem of the usual price driven pattern-generation paradigm, resulting in a unified model that generates new patterns in situ. We work harder to generate new columns, but we are guaranteed that n...
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Research addressing two-dimensional irregular shape packing has largely focused on the strip packing variant of the problem. However, it can be argued that this is a simplification. Materials from which pieces are required to be cut will ultimately have a fixed length either due to the physical dimensions of the material or through constraints on the cutting machinery. Hence, in order to cut al...
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We consider a Two-Dimensional Cutting Stock Problem where stock of different sizes is available, and a set of rectangular items has to be obtained through two-staged guillotine cuts. We propose a heuristic algorithm, based on column generation, which requires as subproblem the solution of a Two-Dimensional Knapsack Problem with two-staged guillotines cuts. A further contribution of the paper co...
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ژورنال
عنوان ژورنال: Computers & Operations Research
سال: 2007
ISSN: 0305-0548
DOI: 10.1016/j.cor.2005.09.007