Best increments for the average case of shellsort

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Abstract

This paper presents the results of using sequential analysis to find increment sequences that minimize the average running time of Shellsort, for array sizes up to several thousand elements. The obtained sequences outperform by about 3% the best ones known so far, and there is a plausible evidence that they are the optimal ones.

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Ciura, M. (2001). Best increments for the average case of shellsort. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2138, pp. 106–117). Springer Verlag. https://doi.org/10.1007/3-540-44669-9_12

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