A. Pankratov, T. Romanova, S. Shekhovtsov, I. Grebennik, Julia Pankratova
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Packing Irregular Polygons using Quasi Phi-functions
Packing simply connected irregular polygons in an optimized convex container is considered. Each object allows free continuous moving. We use quasi phi-functions for describing non-overlapping relations of irregular polygons. An exact mathematical model of the packing problem is provided. The fast algorithm to search for feasible arrangements of irregular polygons is proposed. The optimization procedure to find good local extrema is presented. Computational results illustrated with new benchmark instances are given.