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A Three-dimensional Bin Packing Algorithm

Guntram Scheithauer

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Abstract

In this paper an approximation algorithm for the three-dimensional bin packing problem is proposed and its performance bound is investigated. To obtain such a bound a modified bin packing algorithm is considered for a two-dimensional problem with bounded bin and its area utilization is estimated. Finally, a hard example gives a lower bound of the performance bound.

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What this paper is about

In this paper an approximation algorithm for the three-dimensional bin packing problem is proposed and its performance bound is investigated. To obtain such a bound a modified bin packing algorithm is considered for a two-dimensional problem with bounded bin and its area utilization is estimated. Finally, a hard example gives a lower bound of the performance bound.

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OpenAlex reports 28 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper an approximation algorithm for the three-dimensional bin packing problem is proposed and its performance bound is investigated. To obtain such a bound a modified bin packing algorithm is considered for a two-dimensional problem with bounded bin and its area utilization is estimated. Finally, a hard example gives a lower bound of the performance bound.

Key concepts: Bin packing problem, Bin, Bounded function, Upper and lower bounds, Best bin first, Algorithm, Mathematical optimization, Computer science

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