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In operations research, the cutting-stock problem is the problem of cutting standard-sized pieces of stock material, such as paper rolls or sheet metal, into pieces of specified sizes while minimizing material wasted. It is an optimization problem in mathematics that arises from applications in industry. In terms of computational complexity, the problem is an NP-hard problem reducible to the knapsack problem. The problem can be formulated as an integer linear programming problem.
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In operations research, the cutting-stockproblem is the problem of cutting standard-sized pieces of stock material, such as paper rolls or sheet metal...
of the cuttingstockproblem. When the number of bins is restricted to 1 and each item is characterized by both a volume and a value, the problem of maximizing...
for cutting steel plates, cutting of wood sheets to make furniture, and cutting of cardboard into boxes. There are various optimization problems related...
TSP and generalized Dubins path problem could be computed by solving a Set TSP. The one-dimensional cuttingstockproblem as applied in the paper / plastic...
knapsack problemCuttingstockproblem – Mathematical problem in operations research Knapsack auction List of knapsack problems Packing problem – Problems which...
packing problem, which is modelled by having indicator variables y i = 1 ⇔ {\displaystyle y_{i}=1\Leftrightarrow } container i is being used: The cutting stock...
problems that are polynomially-bounded. Assignment problem Bin packing problem Closure problem Constraint satisfaction problemCuttingstockproblem Dominating...
state. One application is encountered in ordering a solution to the cuttingstockproblem in order to minimize knife changes. Another is concerned with drilling...
be intractable. The classical example of a problem where it is successfully used is the cuttingstockproblem. One particular technique in linear programming...
optimization problems. It was introduced in the context of the cuttingstockproblem. Later, it has been applied to the bin packing and job scheduling problems. In...
and B2B settings, within the disciplines of pricing science Cuttingstockproblem: Cutting small items out of bigger ones. Finding the optimal parameter...
Kantorovich considered infinite-dimensional optimization problems, such as the Kantorovich-Monge problem in transport theory. His analysis proposed the Kantorovich–Rubinstein...
the size to be used on the packaging machine. Web (manufacturing) Cuttingstockproblem Todd, H. Robert; Allen, K. Dell; Alting, Leo (1994), Manufacturing...
reconstruct a signal from knowledge that it is sparse or compressible Cuttingstockproblem Demand optimization Destination dispatch — an optimization technique...
height. This problem is a cutting and packing problem and is classified as an Open Dimension Problem according to Wäscher et al. This problem arises in the...
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