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A computer-based heuristic for packing pooled shipment containers. (English) Zbl 0684.90084
Summary: Subject of this paper is how to pack rectangular boxes of different size in a shipping container of known dimensions. The problem is to determine positions for placing the boxes in the container such that the inevitable waste of space is minimized. For this three-dimensional cutting-stock problem various suboptimal solutions are generated using the proposed computer-based heuristic. The number of solutions and the most suitable stowage plan are decided by the decision maker. The procedure is illustrated with numerical examples.

MSC:
90C27 Combinatorial optimization
65K05 Numerical mathematical programming methods
90B05 Inventory, storage, reservoirs
05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
90C90 Applications of mathematical programming
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References:
[1] George, J.A.; Robinson, D.F., A heuristic for packing boxes in a container, Computer and operations research, 7, 147-156, (1980)
[2] Gilmore, P.C.; Gomory, R.E., Multistage cutting-stock problems of two or more dimensions, Operations research, 13, 94-120, (1965) · Zbl 0128.39601
[3] Haessler, R.W., and Talbot, F.B,, “A computer-based complex heuristic procedure for sizing orders and developing load patterns for low density products”, Paper presented on EURO/TIMS-Conference in Paris.
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