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Cutting stock. How to cut long raw material lengths
into needed shorter Finished Good lengths;
Uses LINGO's programming capability to do (LoopCut*.lng)
on-the-fly column generation for a
cutting-stock problem.
Key idea of column generation:
Break the problem into two levels:
a) Subproblem: generate solutions to a subproblem, e.g.,
individual cutting patterns for a cutting stock problem,
or individual trips for a vehicle routing problem,
b) Master problem: given columns/patterns/trips currently generated,
choose a subset of the columns so that together
they satisfy the constraints of the original problem.
Cutting stock problems arise in the steel, paper, and plastics industries;