A subset sum approach to coil selection for slitting
DOI:
https://doi.org/10.23055/ijietap.2015.22.3.1573Keywords:
cutting stock, subset sum, coil slitting, 1.5 dimensional packingAbstract
Optimizing coil slitting operation requires not only the generation of efficient slitting patterns but also the selection of coils to be slit by each pattern. When the coils to be slit are not identical, the optimal coil selection can be quite a cumbersome task. In this paper, we consider the problem of selecting coils to be slit by a given particular slitting pattern when the available coils are not identical. The objective of our problem is to maximize the customer order fulfilment while minimizing the slitting loss and overproduction. We adopt and modify a dynamic programming scheme for the subset sum problem to develop an optimal algorithm for the problem.Published
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