In http://rpubs.com/KGFeMan/PM_IP an example of a cutting stock problem in solved in R using LpSolve. In this example all possible cutting patterns are generated in advance using some facilities of the iterpc package. A different way is to generate interesting patterns on the fly using a Column Generation scheme (see (1)).
References
- Erwin Kalvelagen, Column Generation with GAMS, 2009, http://www.amsterdamoptimization.com/pdf/colgen.pdf.
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