Determining stock-sheet-sizes to minimise trim loss

Article Abstract:

A technique for reducing total trim loss in stock-sheet metal cuttings has been developed. A system constraint is the cutting of only similar blanks from particular sheets to reduce coordination problems. Sheet sizes are determined by empirically-derived optimal sheet sizes and the use of a trim loss matrix in coordination with a heuristic selection system. The method is capable of reducing trim loss by 74 tons in an example application from sheet-size optimized cutting losses of 332 tons.

Management, Cutting, Heuristic programming

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Minimising trim loss in cutting rectangular blanks of a single size from a rectangular sheet using orthogonal guillotine cuts

Article Abstract:

A branch-and-bound algorithm which generates an optimal solution has been developed for minimizing trim loss in cutting regular rectangular blanks. The technique is applicable to cutting requirements from rectangular stocks and using orthogonal guillotine cuts. The technique is simple to implement and is shown to be computationally efficient. The method may also be used for ordering regular-sized boxes on pallets but the solution may not be optimal.

Combinatorial analysis, Combinatorial optimization

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Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles

Article Abstract:

The optimum guillotine cutting problem of a rectangle into smaller equal rectangles is examined.

Operations Research, Research, Continued fractions

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