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We formalize the material ordering and cutting problem faced by this industry and propose an expert system for efficiently combining steel elements into plates to control relevant costs.
We formalize the material ordering and cutting problem faced by this industry and propose a grouping genetic algorithm, called CPGEA, for efficiently controlling the relevant costs.
The approach suggested in this paper for the two-dimensional guillotine cutting problem will make use of these concepts and offer some suggestions.
It is necessary to mention that the precedence mentioned in the third step of the PRW method also exists in the two-dimensional guillotine cutting problem as a different form to be considered.
The clustering process becomes a graph cutting problem such that the edges within the group have high weights and those between different groups have low weights.
The cake cutting problem models the fair allocation of a heterogeneous divisible resource among multiple players.
Similar(47)
Packing and cutting problems, which dealt with filling up a space of known dimension with small pieces, have been an attractive research topic to both industry and academia.
We have therefore tried to suggest a suitable method for two-dimensional guillotine cutting problems using the above concepts.
There are several types of cutting problems based on different characteristics, which Dyckhoff divided into four groups based on their salient characteristics (dimension, type assignment, assortment of large objects, and small items) (Dyckhoff 1990; Dyckhoff and Finke 1992).
Due to similarity between our optimization problem and cutting stock problem, we utilized column generation (CG) technique to solve this optimization problem for larger systems.
(Reinertsen & Vossen 2010) considered the problem of cutting stock problems with due date while addressing common cutting considerations, such as aggregation of orders, multiple stock lengths and cutting different types of material on the same machine.
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