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- W3112341377 abstract "The problem of packing unequal spheres into a multiconnected domain (container) is considered. Given a set of spheres, the objective is to maximize the packing factor. The problem is considered as a knapsack problem and modelled as a mixed-integer non-linear programming. Characteristics of the model are indicated. We propose a new solution method based on a combination of a branch-and-bound approach and the known local optimization method. The search procedure is represented by a tree which allows handling all possible subsets of spheres. We develop a set of truncation rules to reduce the number of variants under test. The local optimization algorithm proceeds from the assumption of spheres radii being variable. A number of numerical examples are given." @default.
- W3112341377 created "2020-12-21" @default.
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- W3112341377 date "2020-12-30" @default.
- W3112341377 modified "2023-10-16" @default.
- W3112341377 title "Optimized packing unequal spheres into a multiconnected domain: mixed-integer non-linear programming approach" @default.
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- W3112341377 doi "https://doi.org/10.1080/23799927.2020.1861105" @default.
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