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Solving the two-dimensional packing problem with m-M calculus

DOI: 10.2298/yjor1101093s

Keywords: Non-linear optimization , m-M calculus , two dimensional packing

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Abstract:

This paper considers the two dimensional rectangular packing problem. The mathematical formulation is based on the optimization of a non-linear function with piecewise linear constraints with a small number of real variables. The presented method of m-M calculus finds all optimal solutions on small instances. Computational performance is good on smaller instances.

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